Question

9. The data shows the number of car rental companies which can be utilized to transport construction equipment to the construction sites. a) Compute the correlation coefficient. b) Test the claim that there is a significant relationship of the correlation coefficient using α-, 001, c) Find the equation of the regression line for the data, and graph the line on the scatter plot. d) Use the equation of the regression line to predict the income of a car rental agency that has 300,000 automobiles. Company Cars (in ten thousands) Revenue (in billions) 63.0 29.0 20.8 19.1 13.4 8.5 $7.0 3.9 2.1 2.8 1.4 1.5
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Answer #1

9)

a)

(y-y) 15.0803 0.6136 1.0336 0.1003 2.9469 2.6136 22.3883 (х-х) (у-у) 145.1072 2.6372 4.9139 2.0689 21.0006 27.6989 203.4267 S.No X-X 63 29 20.8 19.1 13.4 1396.2678 11.3344 23.3611 42.6844 149.6544 293.5511 1916.8533 SSX 2 3.9 2.1 4 1.4 1.5 18.7 3.1167 Total 153.8 25.6333 Mean SSY correlation coefficient rS(Vs Sy - 0.982

b)

null hypothesis: Alternate Hypothesis: C) for 0.01 level,two tailed test and n-2 4 degree of freedom, critical t 4.604 reject Ho if absolute value of test statistic It]>4.604 Decision rule correlation coefficient rS/VS. Spy)- test statistic:t(v(n-2)/(1-r)) 0.982 10.392

from above as test statistic falls above critical value therefore we reject null hypothesis and conclude that there is a signifcant relationship of the correlation coefficient

c)

Sp 1916.8533 Say 203.4267 slope- 0.1061 intercept- y-B1た 0.3963 hence line equation: 0.396 0.106 x

d)

predicted value =0.396+0.106*30=3.576 billions

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