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?
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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f798fb8-0235-4fce-9246-675b497a9964%2Fdccc2bea-2831-473d-8a51-921fdb3b21ea%2Fnnidk0q_processed.jpeg&w=3840&q=75)
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?
Expert Solution
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Step 1 Given
Sample size of students in a basic business communications course = n = 306
The obtained regression line =
where, 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 = R-squared = 0.1158
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