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The admissions officer for Clearwater College developed the following estimated regression equation relating the final college GPA to the student's SAT mathematics score and high-school GPA. ŷ = -1.41 + 0.023521 +0.00486æ2 where a1 = high-school grade point average *3 = SAT mathemathics score y = final college grade point average Round test statistic values to 2 decimal places and all other values to 4 decimal places. Do not round your intermediate calculations. a. Complete the missing entries in this Excel Regression tool output. Enter negative values as negative numbers. SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA df MS Significance F Regression 1.76209 Residual Total 9 1.88 Coefficients Standard Error t Stat p-value Intercept -1.4053 0.4848 K1 0.023467 0.0086666 0.00486 0.001077

The admissions officer for Clearwater College developed the following estimated regression equation relating the final college GPA to the student's SAT mathematics score and high-school GPA. ŷ = -1.41 + 0.023521 +0.00486æ2 where a1 = high-school grade point average *3 = SAT mathemathics score y = final college grade point average Round test statistic values to 2 decimal places and all other values to 4 decimal places. Do not round your intermediate calculations. a. Complete the missing entries in this Excel Regression tool output. Enter negative values as negative numbers. SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA df MS Significance F Regression 1.76209 Residual Total 9 1.88 Coefficients Standard Error t Stat p-value Intercept -1.4053 0.4848 K1 0.023467 0.0086666 0.00486 0.001077

MATLAB: An Introduction with Applications
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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The admissions officer for Clearwater College developed the following estimated regression equation relating the final college GPA to the student's SAT mathematics score and high-school GPA. ŷ = -1.41 + 0.0235a1 + 0.00486x2 where *1 = high-school grade point average 23 = SAT mathemathics score y = final college grade point average Round test statistic values to 2 decimal places and all other values to 4 decimal places. Do not round your intermediate calculations. a. Complete the missing entries in this Excel Regression tool output. Enter negative values as negative numbers. SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA df MS cance F Regression 1.76209 Residual Total 9 1.88 Coefficients Standard Error t Stat p-value Intercept -1.4053 0.4848 X1 0.023467 0.0086666 X2 0.00486 0.001077
Transcribed Image Text:The admissions officer for Clearwater College developed the following estimated regression equation relating the final college GPA to the student's SAT mathematics score and high-school GPA. ŷ = -1.41 + 0.0235a1 + 0.00486x2 where *1 = high-school grade point average 23 = SAT mathemathics score y = final college grade point average Round test statistic values to 2 decimal places and all other values to 4 decimal places. Do not round your intermediate calculations. a. Complete the missing entries in this Excel Regression tool output. Enter negative values as negative numbers. SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA df MS cance F Regression 1.76209 Residual Total 9 1.88 Coefficients Standard Error t Stat p-value Intercept -1.4053 0.4848 X1 0.023467 0.0086666 X2 0.00486 0.001077
Expert Solution
Step 1

To complete the missing entries in this Excel Regression tool output.

dfRegression=number of independent variables=2

dfresidual=dfTotal-dfRegression=9-2=7

SSE=SST-SSR=1.88-1.76209=0.11791

MSR=SSRdfRegression=1.762092=0.881045

MSE=SSEdfresidual=0.11797=0.01684285714≈0.0168

F-statistic is given by the formula:

F=MSRMSE=0.8810450.01684285714=52.30971163≈52.3100

Using Excel function "F.DIST.RT(52.31,2,7)", p-value obtained is 0.0001

 

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