8. For a data set on x and y , the value of (SSxx) is 773,(SSxy) is 1297, the me

Question

8. For a data set on x and y, the value of (SSxx) is 773,(SSxy) is 1297, the mean of the xvalues is 89, and the mean of the y values is 19. What is the value of a in the regression of y on x?

A. -130.33

B. 168.33

C 57.12

D. -34.04

9. The table below gives six pairs of x and y values.

x: 16,20,12,10,14,9

y: 8,13,9,5,6,4

What are the values of SSxx and SSxy?

A. xx=22.819, xy=24.138

B. xx=24.138, xy=22.819

C. xx=58.500, xy=83.500

D. xx=83.500, xy=58.500

10. The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families.

Monthly Income: 24,16,19,31,11,27

Monthly Rent: 7.0,4.5,6.5,12.8,4.5,8.5

For the regression of y on x, what are the values of a and b?

A. a=.52,b=-3.75

B. a=.384,b=-.89

C. a=-3.75,b=.52

D. a=-.89,b=.384

Explanation / Answer

10.

Regression Analysis: y versus x

Analysis of Variance

Source      DF Adj SS Adj MS F-Value P-Value
Regression   1 40.259 40.259    20.54    0.011
x          1 40.259 40.259    20.54    0.011
Error        4   7.841   1.960
Total        5 48.100

Model Summary

      S    R-sq R-sq(adj) R-sq(pred)
1.40013 83.70%     79.62%      46.31%

Coefficients

Term        Coef SE Coef T-Value P-Value   VIF
Constant   -0.89     1.89    -0.47    0.664
x         0.3838   0.0847     4.53    0.011 1.00

Regression Equation

y = -0.89 + 0.3838 x

Correct Answer : D. a=-.89,b=.384

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