Eight students are selected randomly, and their present graduate GPA is compared to their undergraduate GPA and scores on standardized tests. The data are shown below: Present GPA 3.89 3.03 3.34 3.85 3.93 3.06 3.69 3.91 Undergr GPA 3.77 2.75 3.11 3.75 2.92 3.7 3.88 Std. Scores 700 460 550 690 720 420 670 670 a. Write the regression equation, letting undergraduate GPA be x1 and standard Scores be X2. b. Is the model useful in calculating the present graduate GPA of a student? Use a 0.05, State the null and alternative hypothesis. Provide the complete Regression %3D Analysis.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 22PFA
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Eight students are selected randomly, and their present graduate GPA is compared
to their undergraduate GPA and scores on standardized tests.
The data are shown below:
Present GPA
3.89
3.03
3.34
3.85
3.93
3.06
3.69
3.91
Undergr GPA 3.77
2.75
3.11
3.75
4
2.92
3.7
3.88
Std. Scores
700
460
550
690
720
420
670
670
a. Write the regression equation, letting undergraduate GPA be x1 and standard
Scores be x2.
b. Is the model useful in calculating the present graduate GPA of a student? Use a
= 0.05, State the null and alternative hypothesis. Provide the complete Regression
%3D
Analysis.
Transcribed Image Text:Eight students are selected randomly, and their present graduate GPA is compared to their undergraduate GPA and scores on standardized tests. The data are shown below: Present GPA 3.89 3.03 3.34 3.85 3.93 3.06 3.69 3.91 Undergr GPA 3.77 2.75 3.11 3.75 4 2.92 3.7 3.88 Std. Scores 700 460 550 690 720 420 670 670 a. Write the regression equation, letting undergraduate GPA be x1 and standard Scores be x2. b. Is the model useful in calculating the present graduate GPA of a student? Use a = 0.05, State the null and alternative hypothesis. Provide the complete Regression %3D Analysis.
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