Statistics Homework Help

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Statistics Homework Help | Statistics Assignment Help

About Statistics:

Statistics is generally defined as the process of

collection, organization, analysis and

interpretation of the data. Even though the word

Statistics is said to be in a singular form, there is

a difference between the words 'Statistic' and

'Statistics'. That is, the measures of central

tendency such as mean, median, and mode and

the measure of variation such as standard

deviation are called as statistic or sample

statistic if those measures are calculated for a

sample data. The plural of the word 'Statistic' is

'Statistics'. Statistics are used in our daily life

when we are in a position of taking decisions under the situation of uncertainty, where the

decisions are to be taken for some personal reason, related to our own business or for some

other kind of tasks.

Students are often seen struggling with statistics problems. Questions in topics like probability

sometimes become so much tricky that it consumes a lot of time while taking exams. Solution to

statistics problems is not just expected to arrive at the right answer. But it should also be complete in

terms of step by step solution, reasoning, explanation and presentation. Our statistics Homework

help service is the answer to all your statistics problems. Students seeking help with statistics

homework can take the advantage of world class tutors in achieving the desired grades.

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Statistics Homework Sample Questions & Answers

Illustration 1.

Shift the trend origin from 2002 to 2004 in the following trend equation:

Yc = 20 (1.5)x

Given that the unit of time = 1 Year.

Solution

Here, the trend equation is an exponential one, which is to be shifted forward by 2 years i.e.

from 2002 to 2004.

Hence, K = 2

By the formula of trend shifting we have,

Yc = abX + k

Substituting the given values in the above we have,

Yc = 20 (1.5) X+2

= 20 (1.5)2 (1.5)x

= 20 × 2.25 (1.5)X

= 45 (1.5)X

Hence, the required trend equation is Yc = 45 (1.5)X

Where, the origin of X is shifted to 2004.


Illustration 2.

The parabolic trend equation for the sales (’000 Rs.) of a company is given below:

Yc = 20.4 – 1.5X + 0.6X2

Shift the trend origin from 1999 to 2004 given that the time unit is 1 year.

Solution

Here, the trend origin is to be shifted forward by 5 years i.e. from 1999 to 2004. Hence, K =

5

By the formula of shifting a trend we have,

Yc = a – b (X + K) + c ( X + K )2

(it is a parabolic equation of the given order.)

Substituting the respective values in the above we have,

Yc = 20.4 – 1.5 (X +5) + 0.6 (X +5)2

= 20.4 – 1.5X- 7.5 + 0.6 (X2 + 10X + 25)

= 20.4 – 1.5X – 7.5 + 0.6X2 + 6X + 15

= 27.9 + 4.5X + 0.6X2

Hence, the shifted trend equation is Yc = 27.9 + 4.5X + 0.6X2 given that the trend origin is

shifted to 2004.


Illustration 3.

Shift the trend origin from 2003 to 1st Jan ’04 in the linear equation, Yc = 14.5 + 0.4X,

given that unit of time = 1 year.

Solution

Here, the origin 2003 means 1st July ’03 ( the middle part of the year).

Hence, the origin is to be shifted forward by only 1

2 year i.e. from 1st July ’03 to 1st Jan ’04.

Thus, K =1/2

By the formula of shifting a trend we have,

Yc = a + b (X + k)

= 14.5 + 0.4X

= 14.7 + 0.4X

Hence Yc = 14.7 + 0.4X

Where the trend origin is shifted to 1st Jan ’04.

Illustration 4.

Convert the following of conversion of an annual trend to a monthly one :

Yc = 24 + 1.8X

Given X unit = 1 year, and y unit = annual production.

Solution

By the formula of conversion of a annual trend to a monthly one we have:

Yc = 𝑎

12 +

𝑏𝑥

12 ×12

Substituting the respective values in the above we get,

Yc = 24

12 +

1 .8 𝑋

144


or Yc =2 + 0.0125X

Where, X unit = 1 month and Y unit = monthly prodn.

Illustration 5

Convert the following monthly trend equation into the annual one:

Yc = 2 + 0.0125X

Solution

By the formula of conversion of a monthly trend into an annual one we have,

Yc = a × 12 × bX (12 × 12)

Substituting the respective values in the above we get,

Yc = 2 × 12 + 0.0125 × 144 or

Yc = 24 + 1.8X

Where, X unit = 1 Year, and Y unit = annual sales.

Note. The above answer may be compared with the respective values of the annual

equation given in the illustration 22.


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Statistics Homework Help

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