All Questions - Quantitative Methods
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Chapter 1
1. Information is
A. ? all the facts and figures
B. ? the creation of a database
C. ? the selective use of data to inform the user
D. ? a summary of the solutions
2. The quantitative approach requires
A. ? a scientific rigour in the collection of data
B. ? the selective use of data
C. ? the correctness of calculation
D. ? all of the above
3. Primary data
A. ? is collected for a specific purpose
B. ? can be any data
C. ? is supplementary data
D. ? is none of the above
4. A parameter
A. ? is a quantity or characteristic allowed to change within a particular problem
B. ? takes a fixed value for a particular problem
C. ? is always the same value
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D. ? is always a different value
5. The level of measurement achieved by recording whether the person reading this book
likes or dislikes the layout of a scale 1 to 5 is
A. ? nominal
B. ? ordinal
C. ? interval
D. ? ratio
6. The level of measurement achieved by recording whether the respondent smokescigarettes or not is
A. ? nominal
B. ? ordinal
C. ? interval
D. ? ratio
7. The level of measurement achieved by calculating the travel distance of shoppers
A. ? nominal
B. ? ordinal
C. ? interval
D. ? ratio
8. Scoring models could be used for
A. ? a cashflow forecast
B. ? breakeven analysis
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C. ? clarifying the choices between options that involve a number of factors
D. ? the evaluation of a saving scheme
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Chapter 2
1. Data is
A. ? a coding of responses from a questionnaire
B. ? a set of facts and figures from a database
C. ? information collected for other purposes
D. :-) all of the above
2. Secondary data
A. :-) already exists for other purposes
B. ? is used only second
C. ? is always second best
D. ? none of the above
3. Ws and H
A. X is a coding of data
B. :-) is a techniques for clarifying a problem or issue
C. ? is a formula
D. ? is a way of asking why 5 times
4. A good source of government statistics is
A. ? www.ebay.co.uk
B. ? www.bhs.org.uk
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C. :-) www.statistics.gov.uk
D. ? www.amazon.co.uk
5. We need to be cautious when using data from the internet because
A. X sources may not be known
B. X possible bias
C. X incompleteness
D. ? all of the above
6. A survey may be preferred to a census
A. X because of cost constraints
B. X because the methodology is adequate
C. X because of time constraints
D. ? all of the above
7. A smaller sample size can be used
A. :-) if the variability in the population is smaller
B. ? if greater accuracy if required
C. ? if more detailed analysis is to be undertaken
D. ? none of these
8. Market research
A. X cannot estimate the market share of brands produced by other companies
B. X can provide an alternative to statistical analysis
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C. :-) can provide information on customer satisfaction
D. ? cannot provide acceptable information on politically sensitive issues such ascarbon emission and health service provision
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Chapter 3
1. To reflect the opinions of a population a survey needs to
A. ? Ask everyones opinion
B. ? Ask opinions from any small group
C. ? Ask the opinions of a representative group
D. ? Ask opinions from the first 100 people you meet
2. A cluster sample will
A. ? Seek views from a homogeneous group in the population
B. ? Seek views from a heterogeneous group in the population
C. ? Seek views from any group in the population
D. ? Seek views from everyone who attends a group discussion
3. A two stage random sample
A. ? Takes a random sample of groups and then a random sample in each selectedone
B. ? Takes a random sample and then a second one
C. ? Takes a random sample from every group in the population
D. ? Takes a random sample and analyses it in two stages
4. A longitudinal survey
A. ? Follows a group as they travel
B. ? Follows a group over many years
C. ? Follows a group for a week
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D. ? Follows a group as they grow up
5. 5 The question Most people liked this chocolate bar, do you? is
A. ? A hypothetical question
B. ? A question which contains jargon
C. ? Two questions as one
D. ? A leading question
6. The question Do you eat this food because it is good for you and you like it? is
A. ? A hypothetical question
B. ? A question which contains jargon
C. ? Two questions as one
D. ? A leading question
7. The question How early do you usually do your Christmas shopping? is
A. ? A hypothetical question
B. ? A question which contains jargon
C. ? Two questions as one
D. ? A leading question
8. The question How would you manage this situation if you were the manager? is
A. ? A hypothetical question
B. ? A question which contains jargon
C. ? Two questions as one
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D. ? A leading question
9. Gallup identified how many question objectives?
A. ? 2
B. ? 3
C. ? 4
D. ? 5
10. Sampling methodology
A. ? Is crucial to obtaining meaningful results
B. ? Is a description of how the sampling was done
C. ? Allows the results to be replicated
D. ? All of these
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Chapter 4
1. Component bar charts have
A. ? All bars the same length
B. ? Bars for percentages of each component
C. ? Bars built up from sections for each component
D. ? Are coloured to reflect the components
2. Pie charts can be used for
A. ? Annual company reports
B. ? Degree dissertations
C. ? Publicity materials
D. ? Any of these
3. 3 Earnings data is
A. ? Categorical data
B. ? Ordinal data
C. ? Interval data
D. ? Ratio data
4. If the figure for sales was 50 last year and is 61 this year, the percentage rise is
A. ? 10
B. ? 11
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C. ? 18
D. ? 22
5. If the following years figure is 65, the percentage rise is
A. ? 4
B. ? 6.1
C. ? 6.5
D. ? 15
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Chapter 6
1. Averages are
A. ? A typical value
B. ? A measure of location
C. ? A measure of central tendency
D. ? All of these
2. In a normal distribution
A. ? The mean is above the median and mode
B. ? The mean is below the median and mode
C. ? The mean is equal to the mean and mode
D. ? The mean is between the median and mode
3. Data Set 1: 14, 12, 17, 25, 14, 19, 30
For data set 1, the arithmetic mean is
A. ? 14
B. ? 17
C. ? 18.7
D. ? 25
4. For data set 1 the median is
A. ? 14
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B. ? 17
C. ? 18.7
D. ? 25
5. For data set 1 the mode is
A. ? 14
B. ? 17
C. ? 18.7
D. ? 25
6. If the final number were recorded as 300 the mean would be
A. ? 17
B. ? 25
C. ? 57.3
D. ? 61.6
7. If the final number were recorded as 300, the median would be
A. ? 17
B. ? 25
C. ? 57.3
D. ? 61.6
8. Data Set 2:X f10 65
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20 2530 10
For data set 2 the mean is
A. ? 10
B. ? 14.5
C. ? 15
D. ? 20
9. For data set 2 the median is
A. ? 10
B. ? 14.5
C. ? 15
D. ? 20
10. For data set 2 the mode is
A. ? 10
B. ? 14.5
C. ? 15
D. ? 20
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C. ? 21
D. ? 23
5. For Data Set 1 the quartile deviation is:
A. ? 5.5
B. ? 6.5
C. ? 21
D. ? 23
6. For Data Set 1 the variance is:
A. ? 30.25
B. ? 43.14
C. ? 441
D. ? 529
7. Data Set 2: mean = 30, median = 25, standard deviation = 4
For data set 2 the coefficient of variation is
A. ? -3.75
B. ? +3.75
C. ? +7.5
D. ? +13.3
8. For data set 2 the coefficient of skewness is
A. ? -3.75
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B. ? +3.75
C. ? +7.5
D. ? +13.3
9. A decile represents a point in the data
A. ? At a 10% value
B. ? At a 5% value
C. ? At a 1% value
D. ? At none of these
10. Highly skewed data is best described by
A. ? Range
B. ? Variance
C. ? Quartile deviation
D. ? Percentiles
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Chapter 7
1. Year Index1 1082 1123 1164 1245 131
From the data above, the percentage change from year 1 to year 2 is
A. ? 3.6
B. ? 3.7
C. ? 5.6
D. ? 6.9
2. From the data above, the percentage change from year 2 to year 3 is
A. ? 3.6
B. ? 3.7
C. ? 5.6
D. ? 6.9
3. From the data above, if the index were rebased so that Year 3 = 100, the index for year1 would be
A. ? 93.1
B. ? 100
C. ? 112.9
D. ? 116
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4. From the data above, if the index were rebased so that Year 3 = 100, the index for year5 would be
A. ? 93.1
B. ? 100
C. ? 112.9
D. ? 116
5.
From the data above, the price relative for item B for the second year is
A. ? 1.050
B. ? 1.1375
C. ? 1.167
D. ? 1.200
6. From the data above, the aggregative price for the second year is
A. ? 105.0
B. ? 113.75
C. ? 116.7
D. ? 120.0
7. From the data above, the Laspeyres all items Price index for the second year is
A. ? 100.0
B. ? 108.0
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C. ? 112.0
D. ? 121.8
8. From the data above, the Paasche all items Price index for the second year is
A. ? 100.0
B. ? 108.0
C. ? 112.8
D. ? 121.8
9. From the data above, the all items Value index for the second year is
A. ? 100.0
B. ? 108.0
C. ? 112.8
D. ? 121.8
10. The Retail Prices Index uses
A. ? 11 items
B. ? 100 items
C. ? 350 items
D. ? 650 items
11. Year Index1 1082 1123 1164 124
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5 131
From the data above, the percentage change from year 1 to year 2 is
A. ? 3.6
B. ? 3.7
C. ? 5.6
D. ? 6.9
12. From the data above, the percentage change from year 2 to year 3 is
A. ? 3.6
B. ? 3.7
C. ? 5.6
D. ? 6.9
13. From the data above, if the index were rebased so that Year 3 = 100, the index for year1 would be
A. ? 93.1
B. ? 100
C. ? 112.9
D. ? 116
14. From the data above, if the index were rebased so that Year 3 = 100, the index for year
5 would be
A. ? 93.1
B. ? 100
C. ? 112.9
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D. ? 116
15.
From the data above, the price relative for item B for the second year is
A. ? 1.050
B. ? 1.1375
C. ? 1.167
D. ? 1.200
16. From the data above, the aggregative price for the second year is
A. ? 105.0
B. ? 113.75
C. ? 116.7
D. ? 120.0
17. From the data above, the Laspeyres all items Price index for the second year is
A. ? 100.0
B. ? 108.0
C. ? 112.0
D. ? 121.8
18. From the data above, the Paasche all items Price index for the second year is
A. ? 100.0
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B. ? 108.0
C. ? 112.8
D. ? 121.8
19. From the data above, the all items Value index for the second year is
A. ? 100.0
B. ? 108.0
C. ? 112.8
D. ? 121.8
20. The Retail Prices Index uses
A. ? 11 items
B. ? 100 items
C. ? 350 items
D. ? 650 items
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Chapter 8
1. Throwing a die, the probability of an even number is
A. ? 1/6
B. ? 2/6
C. ? 3/6
D. ? 4/6
2. Throwing 2 die, the probability of an even total score is
A. ? 6/36
B. ? 9/36
C. ? 18/36
D. ? 27/36
3. Throwing 2 die, the probability of an total score below 6 is
A. ? 6/36
B. ? 16/36
C. ? 20/36
D. ? 26/36
4. From a standard pack of cards, the probability of selecting an Ace or a Spade is
A. ? 13/52
B. ? 16/52
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Chapter 9
1. A table of random numbers has a
A. ? Normal distribution
B. ? Uniform distribution
C. ? Binomial distribution
D. ? Poisson distribution
2. A binomial distribution has
A. ? A variable chance of success
B. ? An unlimited number of trials
C. ? Many outcomes
D. ? Independence of events
3. The number of ways of picking 4 from 6 is
A. ? 15
B. ? 20
C. ? 24
D. ? 720
4. The number of ways to pick 2 from 6 is
A. ? 15
B. ? 20
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C. ? 24
D. ? 720
5. For a binomial probability distribution with n=5 and p=0.2, the probability of 2successes is:
A. ? 0.05792
B. ? 0.08
C. ? 0.2048
D. ? 0.26272
6. For the same distribution, the probability of less than 3 successes is:
A. ? 0.05792
B. ? 0.08
C. ? 0.2048
D. ? 0.26272
7. For the same distribution, the probability of more than 3 successes is:
A. ? 0.2048
B. ? 0.26272
C. ? 0.73728
D. ? 0.94208
8. For a poisson distribution with an average of 1`, the probability of zero successes is:
A. ? 0.2642
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B. ? 0.3679
C. ? 0.6321
D. ? 0.7358
9. For the same distribution, the probability of more than 1 is:
A. ? 0.2642
B. ? 0.3679
C. ? 0.6321
D. ? 0.7358
10. For a poisson distribution, the mean is:
A. ? n
B. ? np
C. ? npq
D. ? npq
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Chapter 10
1. A Normal Distribution is
A. ? symmetrical
B. ? bimodal
C. ? skewed
D. ? uniform
2. A normal distribution with a mean of 100 and a standard deviation of 10 has 5% of thevalues above:
A. ? 101.645
B. ? 101.96
C. ? 116.45
D. ? 119.6
3. The same distribution has 97.5% of values below:
A. ? 101.645
B. ? 101.96
C. ? 116.45
D. ? 119.6
4. For a standard normal distribution, the area to the right of z=+1.5 is:
A. ? 0.0668
B. ? 0.1469
C. ? 0.8531
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D. ? 0.9332
5. For a standard normal distribution, the area to the left of z=+1.05 is:
A. ? 0.0668
B. ? 0.1469
C. ? 0.8531
D. ? 0.9332
6. For a standard normal distribution, the area to the right of z= -2.03 is:
A. ? 0.01072
B. ? 0.02118
C. ? 0.97882
D. ? 0.98928
7. For a standard normal distribution, the area between z= -2 and z=+1 is:
A. ? 0.18095
B. ? 0.31905
C. ? 0.61430
D. ? 0.81905
8. For a standard normal distribution, the area between z= +0.5 and z=+1 is:
A. ? 0.1503
B. ? 0.4667
C. ? 0.5333
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D. ? 0.8497
9. IQ scores are said to be normal with a mean of 100 and a standard deviation of 10.
What percentage of people will have an IQ of over 120:
A. ? 2.275%
B. ? 11.51%
C. ? 15.87%
D. ? 22.75%
10. For the same IQ distribution, what percentage will be below 95?
A. ? 3.85%
B. ? 30.85%
C. ? 50%
D. ? 69.15%
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Chapter 11
1. You can take a smaller sample if
A. ? you want to do a more detailed analysis of subgroups
B. ? less accuracy is acceptable
C. ? a higher level of confidence is required
D. ? there is more variability in the population
2. If you decide to use a 95% confidence interval rather than a 99% confidence interval youwould expect the confidence interval to become
A. ? wider
B. ? stay the same
C. ? smaller
D. ? increase by 4%
3. Given the sample statistics n = 80, = 9.90 and s = 1.84 , the 95% confidence intervalis given by
A. ? = 9.90 0.40
B. ? = 9.90 1.84
C. ? = 8.06 1.84
D. ? = 9.90 3.61
4. To estimate the true mean to within 5.00 with a 95% confidence interval, given astandard deviation of 56.50 requires a sample size of
A. ? 100
B. ? 250
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C. ? 500
D. ? 1000
5. In a survey of 300 call customers, 33 complain that connection time is a problem forthem. The 95% confidence interval is
A. ? 33 2%
B. ? 33 4%
C. ? 11% 2%
D. ? 11% 4%
6. Assuming a worse case scenario that p = 50% the sampling size required to give a 95%confidence interval with a sampling error of no more that 2% is
A. ? 1000
B. ? 1500
C. ? 2000
D. ? 2500
7. Given n1 = 150, x1 = 78.40, s1 = 8.20 and n2 = 180, x2 = 72.00, s2 = 6.45 the 95%confidence interval for the difference of means is given by
A. ? 6.40 1.62
B. ? 6.40 1.96
C. ? 6.40 0.82
D. ? 6.40 3.24
8. Given n1 = 150, p1 = 7% and n2 = 180, p2 = 4% the 95% confidence interval for thedifference of means is given by
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A. ? 3% 3%
B. ? 3% 5%
C. ? 3% 7%
D. ? 3% 9%
9. A sample of 70 is taken from a population of 80. The finite population correction factor is
A. ? 0.9354
B. ? 0.875
C. ? 0.3536
D. ? none of these
10. A random sample of 8 business transactions was selected from a large number of suchtransactions. The degrees of freedom and the critical value using the t-distribution for the95% confidence interval would be
A. ? = 7 and cv = 1.895
B. ? = 8 and cv = 1.860
C. ? = 7 and cv = 2.365
D. ? = 6 and cv = 2.447
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Chapter 12
1. A hypothesis
A. ? is always a good idea
B. ? can always be accepted if the sample is large enough
C. ? a concept that should be accepted
D. ? none of the above
2. The larger the value of the test statistic the more likely you are to
A. ? reject the alternative hypothesis
B. ? accept the null hypothesis
C. ? reject the null hypothesis
D. ? reject the null hypothesis and reject the alternative hypothesis
3. Given H0: = 100, H1: 100, a significance level of 5% and z = 2.07
A. ? you would accept the null hypothesis
B. ? you would reject the null hypothesis
C. ? you would change the level of significance
D. ? you would accept the alternative hypothesis
4. Given H0: = 50%, H1: 50%, a significance level of 5% and z = -1.04
A. ? you would accept the null hypothesis
B. ? you would reject the null hypothesis
C. ? you would change the level of significance
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D. ? you would accept the alternative hypothesis
5. A Local Authority is interested in whether the average travel distance to school within a
study area has remained at 2 miles or has increased The hypotheses can be stated as:
A. ? H0 = 2 H1 2
B. ? H0 = 2 H1 < 2
C. ? H0 = 2 H1 > 2
D. ? H0 < 2 H1 = 2
6. The marketing department claims that 60% of customers are aware of the full range ofthe products offered by the company. Senior management thinks it could be less. Thehypotheses can be stated as:
A. ? H0 = 60% H1 60%
B. ? H0 = 60% H1 < 60%
C. ? H0 = 60% H1 > 60%
D. ? H0 < 60% H1 = 60%
7. Given H0 (1 2) = 0 and H1 ( 1 2) < 0 where is a percentage, we are testing
A. ? a null hypothesis that the percentage in population 1 is smaller than thepercentage in population 2
B. ? a null hypothesis that the than the percentage population 1 is larger than thepercentage population 2
C. ? a null hypothesis of no difference against an alternative that the percentage ofpopulation 1 is smaller that population 2
D. ? a null hypothesis of no difference against an alternative that the percentage ofpopulation 1 is larger that population 2
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Chapter 13
1. A parametric test requires the following conditions
A. ? a null hypothesis that can be stated in terms of a parameter
B. ? a meaningful level of measurement has been achieved that gives validity todifference
C. ? a test statistic that follows a known distribution
D. ? all of the above is true
2. A non-parametric test requires
A. ? a null hypothesis
B. ? the calculation of a test statistic
C. ? the use of critical values
D. ? all of the above
3. A chi-squared test statistic of 16.548 has been calculated for a 4 by 5 cross tabulation(with all expected frequencies above 5). Using a 5% significance level
A. ? you would compare with a critical value of 21.0 and not reject the nullhypothesis
B. ? you would compare with a critical value of 21.0 and reject the null hypothesis
C. ? you would compare with a critical value of 14.8 and not reject the nullhypothesis
D. ? you would compare with a critical value of 14.8 and reject the null hypothesis
4. A frequency table has been used to report the length of life of a component. The tablehas 8 intervals and has been used to calculate the sample mean and sample standarddeviation. It has been decided to test at the 1% significance level whether the length oflife follows a normal distribution. A chi-squared test statistic of 13.246 was calculated by
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comparing the observed and expected frequencies (with all expected frequencies above5). You would compare the chi-squared value with a critical value of
A. ? 11.1 and not reject the null hypothesis
B. ? 11.1 and reject the null hypothesis
C. ? 15.1 and not reject the null hypothesis
D. ? 15.1 and reject the null hypothesis
5. You are using the Mann-Whitney U test for a small sample and have been given thefollowing summary:
Rank Sample
1 22 23.5 13.5 25 16 27 18.5 18.5 210 211 112 1
Using a 5% significance level
A. ? you would compare a T value of 10 with a critical value of U of 6 and reject nullhypothesis
B. ? you would compare a T value of 10 with a critical value of U of 6 and not rejectnull hypothesis
C. ? you would compare a T value of 10 with a critical value of U of 6 and reject nullhypothesis
D. ? you would compare a T value of 10.5 with a critical value of U of 12 and notreject null hypothesis
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6. You are using the Mann-Whitney U test for a large sample and have been given thefollowing statistics: T = 258, n1 = 15 and n2 = 25. Using a 5% significance level youwould compare a z value of
A. ? +1.87 with +1.645 and reject null hypothesis
B. ? +1.87 with +1.96 and not reject null hypothesis
C. ? -2.87with +1.96 and reject null hypothesis
D. ? +2.87 with +1.96 and not reject null hypothesis
7. A company has identified a number of fraudulent claims. To test whether they arerandom they should use a:
A. ? Mann-Whitney U test for small samples
B. ? Wilcoxon test for small samples
C. ? Wilcoxon test for large samples
D. ? Runs test
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Chapter 14
1. Correlation is a measure of
A. ? cause and effect
B. ? the intercept
C. ? the change in y
D. ? none of these
2. A correlation coefficient cannot take the value
A. ? 0
B. ? -1
C. ? +1.50
D. ? 0.5567
3. A perfect positive relationship is indicated by the correlation coefficient
A. ? +1
B. ? 0
C. ? -1
D. ? 100%
4. You have been given the following data for y and x:
You would expect the correlation coefficient that you would calculate to equal
A. ? +1
B. ? 0
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C. ? -1
D. ? any value between -1 and +1
5. You have been given the following data for y and x:
You would expect the correlation coefficient that you would calculate to equal
A. ? +1
B. ? 0
C. ? -1
D. ? none of these
6. A correlation coefficient near +1 would suggest
A. ? a limited correlation
B. ? a complete set of data
C. ? a strong positive relationship
D. ? a strong negative relationship
7. A Spearmans coefficient of rank correlation near to 0 would suggest
A. ? the need for an alternative test
B. ? a poor relationship
C. ? the possibility of a negative relationship
D. ? the need fro improved measurement
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8. The coefficient of determination of 90% would suggest
A. ? there is a good explanation of cause and effect
B. ? there is a limited explanation of cause and effect
C. ? that most of the variation in the data has been explained
D. ? there is a lack of explanation of variation in the data
9. Transformation of the data can
A. ? improve the quality of the data
B. ? increase the amount of data
C. ? improve the fit of a linear relationship
D. ? identify non-linear relationships
10. Using a test of significance for the correlation coefficient
A. ? we may be able to accept the alternative hypothesis that some relationshipexists
B. ? we may be able to accept the null hypothesis that some relationship exists
C. ? we may be able to reject the null hypothesis that some relationship exists
D. ? none of the above
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Chapter 15
1. The regression line may be referred to as
A. ? the line of best fit
B. ? the least squares line
C. ? the regression of y on x
D. ? all of the above
2. If the correlation coefficient is equal to +1 then
A. ? all points will lie on a line sloping upwards to the right
B. ? all points will lie on a line sloping downwards to the right
C. ? some points will lie on a line sloping upwards to the right
D. ? some points will lie on a line sloping downwards to the right
3. If the correlation coefficient is equal to -0.3 then we would expect to make
A. ? good predictions from a regression line sloping upwards to the right
B. ? good predictions from a regression line sloping downwards to the right
C. ? poor predictions from a regression line sloping upwards to the right
D. ? poor predictions from a regression line sloping downwards to the right
4.
Which of the following equations best describe this data?
A. ? y = 8 + 12x
B. ? y = 12 + 8x
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C. ? y = 8
D. ? y = 12
5. You have been given the following data for y and x:
Which of the following equations best describe this data?
A. ? y = 11 + 3x
B. ? y = 20 + 3x
C. ? y = 11 + 5x
D. ? y = 20 + 5x
6. You have been given the following data for y and x:
x 15 16 17 17 18y 71 72 74 84 87
Which of the following regression lines do you think would best fit this data?
Hint: you should be helpful to draw the scatter diagram first
A. ? y = -12.42 - 5.42x
B. ? y = -12.42 + 5.42x
C. ? y = +12.42 + 5.42x
D. ? y = +12.42 - 5.42x
7. If the value we would predict for y given x = 9 is
A. ? 212.6
B. ? 212.8
C. ? 213.8
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D. ? 214.6
8. If the value we would predict for y given x = -12 is
A. ? -117
B. ? 117
C. ? -87
D. ? 87
9. Extrapolation is
A. ? prediction outside the range of the data
B. ? any prediction
C. ? prediction within the range of the data
D. ? no prediction
10. A transformation to linearity
A. ? will allow regression analysis to be used
B. ? will reduce the correlation coefficient
C. ? limit further analysis
D. ? is unnecessary provided you have sufficient data
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Chapter 16
1. Multiple regression relates
A. ? the dependent variable y to two or more explanatory variables
B. ? the dependent variable y to two or more dependent variables
C. ? an explanatory variable to one or more dependent variables
D. ? an explanatory variable to one dependent variable
2. The coefficient of determination
A. ? provides a measure of the variation explained by the regression model
B. ? can guide the selection of additional variables
C. ? can be given as an adjusted figure to provide an unbiased estimate
D. ? all of the above
3. Multicollinearity exists when
A. ? two or more of the independent variables are not correlated
B. ? the dependent variables is highly correlated with two or more of theindependent variables
C. ? two or more of the independent variables are highly correlated
D. ? the dependent variables is not highly correlated with the independent variables
4. The basic test of autocorrelation is provided by
A. ? the coefficient of determination
B. ? the Durbin-Watson test
C. ? the t-test
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D. ? none of the above
5. The multiple regression model will be improved by the
A. ? exclusion of seasonality
B. ? reduced number of variables
C. ? careful specification of variables
D. ? none of the above
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Chapter 17
1. A time series model could include
A. ? Trend
B. ? Seasonal factors
C. ? Cyclical factors
D. ? All of the above
2. A trend is
A. ? copying past figures
B. ? a general direction in which the figures are moving
C. ? being the same as other current figures
D. ? the use of regression
3. the use of regression
A. ? A = T S C R
B. ? A = T S + C + R
C. ? A = T + S + C + R
D. ? A = T S C R
4. The additive model is given by
A. ? A = T S C R
B. ? A = T S + C + R
C. ? A = T + S + C + R
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D. ? A = T S C R
5. The number of periods included in a moving average trend correspond to
A. ? always 4 , 5 or 6
B. ? the maximum possible
C. ? the minimum possible
D. ? none of these
6. The seasonal factor for the additive model is estimated using
A. ? A - T
B. ? T S
C. ? T/A
D. ? A/T
7. Predictions are made by
A. ? averaging the trend and seasonal variation
B. ? extending the trend and adjusting for seasonal factor
C. ? giving the average seasonal variation
D. ? extending for the trend and adjusting for the residual
8. The exponentially weighted moving average
A. ? gives more weight to recent data
B. ? has a sum of weights which equals 1
C. ? is weighted exponentially
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D. ? all of these
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Chapter 18