A study was conducted to determine the relationship between starting salaries (RM thousands) for recent statistics graduates and their grade point averages in the major course. A linear regression model was fitted to the data and the estimates regression function was obtained. Part of the computer output for the above analysis is given below: ANOVA Model Sum of df Mean F Sig. Squares Square Regression Error 147.28 .000 734.9 6748.2 40.828 Total Coefficients Unstandardized Coefficients Std. Model t Sig. Constant GPA -8.42 3.007 Error 3.395 0.2477 0.011 -2.48 12.14 0.000 (a) Complete the ANOVA table (blue boxes). (b) Write down the estimated regression function. Interpret the estimated parameters. (c) Test whether there is a lincar association between salaries and grade point average. Use a = 0.05. (d) Determine the coefficient of determination for the model and interpret its meaning.

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A study was conducted to determine the relationship between starting salaries (RM
thousands) for recent statistics graduates and their grade point averages in the major course.
A linear regression model was fitted to the data and the estimates regression function was
obtained. Part of the computer output for the above analysis is given below:
ANOVA
Model
Sum of
df
Mean
F
Sig.
Squares
Square
Regression
147.28
.000
Error
734.9
40.828
Total
6748.2
Coefficients
Unstandardized
Coefficients
Model
Sig.
Std.
B
Error
Constant
GPA
-8.42
3.007
3.395
0.2477
-2.48
12.14
0.011
0.000
(a) Complete the ANOVA table (blue boxes).
(b) Write down the estimated regression function. Interpret the estimated parameters.
(c) Test whether there is a linear association between salaries and grade point average. Use
a = 0.05.
(d) Determine the coefficient of determination for the model and interpret its meaning.
Transcribed Image Text:A study was conducted to determine the relationship between starting salaries (RM thousands) for recent statistics graduates and their grade point averages in the major course. A linear regression model was fitted to the data and the estimates regression function was obtained. Part of the computer output for the above analysis is given below: ANOVA Model Sum of df Mean F Sig. Squares Square Regression 147.28 .000 Error 734.9 40.828 Total 6748.2 Coefficients Unstandardized Coefficients Model Sig. Std. B Error Constant GPA -8.42 3.007 3.395 0.2477 -2.48 12.14 0.011 0.000 (a) Complete the ANOVA table (blue boxes). (b) Write down the estimated regression function. Interpret the estimated parameters. (c) Test whether there is a linear association between salaries and grade point average. Use a = 0.05. (d) Determine the coefficient of determination for the model and interpret its meaning.
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