Eight students are selected randomly, and their present graduate GPA is compared to thei undergraduate GPA and scores on standardized tests. The data are shown below: Present GPA 3.86 3.21 3.45 3.75 3.95 3.16 3.59 3.91 Undergr GPA 3.55 2.87 3.05 3.65 4 2.99 3.68 3.74 Std. Scores 690 455 580 675 730 450 650 690 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 = 0.01, State the null and alternative hypothesis. Provide the complete Regression Analysis.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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
3.86
3.21
3.45
3.75
3.95
3.16
3.59
3.91
Undergr GPA
3.55
2.87
3.05
3.65
4
2.99
3.68
3.74
Std. Scores
690
455
580
675
730
450
650
690
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 = 0.01,
State the null and alternative hypothesis. Provide the complete Regression 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 3.86 3.21 3.45 3.75 3.95 3.16 3.59 3.91 Undergr GPA 3.55 2.87 3.05 3.65 4 2.99 3.68 3.74 Std. Scores 690 455 580 675 730 450 650 690 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 = 0.01, State the null and alternative hypothesis. Provide the complete Regression Analysis.
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