CHAPTER 27 PART 1 Inferences for Regression. YearRate 19710.08 19740.10 19750.13 19780.15 19810.18...
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Transcript of CHAPTER 27 PART 1 Inferences for Regression. YearRate 19710.08 19740.10 19750.13 19780.15 19810.18...
CHAPTER 27 PART 1
Inferences for Regression
Year Rate1971 0.081974 0.101975 0.131978 0.151981 0.181981 0.201985 0.221988 0.251991 0.291995 0.32
This table lists postal rates for first class mail, gathered by the US Postal Service.
1)Make a scatterplot. 2)What type of relationship is shown
in the scatterplot? 3)What is the correlation? What does
that mean? 4)What is and what does it mean? 5)Give a linear model. 6)Interpret the slope and y-intercept.7)Is the linear model appropriate?
We want to know if the association in our sample provides evidence that there must be an association between the two variables in the population.
Assumptions and Conditions for Inferences by Regression
Read about these on pages 651-653. There are a lot of
them.
The slope of the regression line for all
possible samples follows a t-model with n-2 degrees
of freedom.
In TI-84 Calculator:
STAT TESTS F:LinRegTTest
How to get t-score and P-value
In TI-84 Calculator:
STAT TESTS G:LinRegTInt
How to get a Confidence Interval
Using the data from your worksheet (Anxiety Level and Math Test), perform a hypothesis test and
create a 95% confidence interval for slope for the anxiety and math test
data.
STATTESTF:LinRegInt
With a P-value of 0.0084, we reject the null hypothesis stating that there is no association between math test scores and anxiety level. There is strong evidence that, on average, lower anxiety level is associated with higher math scores.
𝑡=−2.89 𝑎𝑛𝑑𝑃=0.0084
STATTESTG:LinRegInt
(−7.702 ,−1.271)We are 95% confident that the interval (-7.702, -1.271) contains the average math test score difference associated with difference in anxiety level. Each additional unit of anxiety level is associated with an average decrease of between 1.271 and 7.702 points on the math test.
Today’s Assignment: Page 673 #2 and worksheet Read about conditions &
assumptions – we will use these tomorrow