Question

The table below shows the income for an employee over his first 8 years of work....

The table below shows the income for an employee over his first 8 years of work. Use this to estimate

his income for his 15th year of work.

Years

1

2

3

4

5

6

7

8

Income

45,000

46,814

48,212

52,870

54,125

58,532

61,075

62,785

Linear Regression Equation: ____________________

Correlation Coefficient (r): _________

Type of Correlation: ______________________

Is the correlation strong? Explain

Using the linear regression equation predict

his income for his 15th year of work.

Homework Answers

Answer #1
Years (X) Income (Y) X * Y
1 45000 45000 1 2.03E+09
2 46814 93628 4 2.19E+09
3 48212 144636 9 2.32E+09
4 52870 211480 16 2.8E+09
5 54125 270625 25 2.93E+09
6 58532 351192 36 3.43E+09
7 61075 427525 49 3.73E+09
8 62785 502280 64 3.94E+09
Total 36 429413 2046366 204 2.34E+10



r = 0.992

There is positive and strong correlation between two variables

Equation of regression line is


b = 2714.464



a =( 429413 - ( 2714.4643 * 36 ) ) / 8
a = 41461.536
Equation of regression line becomes



When X = 15
= 41461.536 + 2714.464 X
= 41461.536 + 2714.464 * 15
= 82178.5

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