Define and interpret the estimates of the regression equation. Interpret the coefficient of determination. What will happen to the final student score if his diagnostic writing test score increases by 2? How can you improve this model?

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3) For a sample of 306 students in a basic business communications course, the sample
regression line
y = 58.813 + 0.2875x
was obtained. Here
y = final student score at the end of the course
x = score on a diagnostic writing skills test given at the beginning of the course
The coefficient of determination was 0.1158 and the estimated standard deviation of the
estimator of the slope of population regression line was 0.04566.
a) Define and interpret the estimates of the regression equation.
b) Interpret the coefficient of determination.
c) What will happen to the final student score if his diagnostic writing test score increases by
2?
d) How can you inmprove this model?
Transcribed Image Text:3) For a sample of 306 students in a basic business communications course, the sample regression line y = 58.813 + 0.2875x was obtained. Here y = final student score at the end of the course x = score on a diagnostic writing skills test given at the beginning of the course The coefficient of determination was 0.1158 and the estimated standard deviation of the estimator of the slope of population regression line was 0.04566. a) Define and interpret the estimates of the regression equation. b) Interpret the coefficient of determination. c) What will happen to the final student score if his diagnostic writing test score increases by 2? d) How can you inmprove this model?
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