Page 93 - Basic Statistics

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Table 5.2

Increase Car sales
2
2
Y X Y X X Y

1 5.33 28.3 28.4089 800.89 150.839
2 6.00 29.0 36.0000 841.00 174.000

3 5.72 28.7 32.7184 823.69 164.164

4 5.55 28.2 30.8025 795.24 156.510
5 5.51 28.0 30.3601 784.00 154.280

6 5.12 27.8 26.2144 772.84 142.336
7 5.33 28.5 28.4089 812.25 151.905

8 5.80 28.9 33.6400 835.21 167.620
9 5.75 28.9 33.0625 835.21 166.175

10 5.91 29.2 34.9281 852.64 172.572

11 6.21 32.0 38.5641 1024.00 198.720
12 6.14 31.3 37.6996 979.69 192.182

2
2
 Y= 68.37  X= 348.8 Y = 390.8075  X = 10156.66 YX =1991.303

If the relationship between the two variables above want to be

investigated by linear regression models,

a. Estimate the linear regression equation

b. Perform the significance test for the allegation regression equation through F

test
c. Check the accuracy of this model linier relationship Y with X by the

2
coefficient of determination R

d. Perform testing of the coefficient  1 = 0

Worked Solution:

12 12
 j X  Y j

Means: X = j= 1 = 348.8 = 29 . 07 Y = j= 1 = 68.37 = . 5 6975
12 12 12 12

~~* CHAPTER 5 LINEAR REGRESSION MODEL *~~