Verbal SAT as a Predictor of GPA A scatterplot with regression line is shown below for a regression model using Verbal SAT score, VerbalSAT, to predict grade point average in college, GPA, using the data in StudentSurvey. We also show computer output of the regression analysis below. The regression equation is GPA = 2.03 +0.00189 VerbalSAT. Predictor Coef SE Coef T P Constant 0.1621 12.54 0.000 VerbalSAT 0.0018929 0.0002709 6.99 0.000 2.0336

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Verbal SAT as a Predictor of GPA
A scatterplot with regression line is shown below for a regression model using Verbal SAT score, VerbalSAT, to predict grade point
average in college, GPA, using the data in StudentSurvey. We also show computer output of the regression analysis below.
The regression equation is GPA = 2.03 +0.00189 VerbalSAT.
Predictor Coef
SE Coef
Constant
VerbalSAT 0.0018929 0.0002709 6.99 0.000
Part 2
S = 0.373214 R - Sq = 12.5% R - Sq(adj) = 12.2%
GPA =
Part 3
b₁ = i
2.0336
Part 4
Interpret the slope in context.
The test statistic is i
The p-value is i
0.1621 12.54 0.000
Part 5
T P
(c) What is the estimated slope in this regression model?
Round your answer to five decimal places.
What is the conclusion of the test?
(e) What is R²?
(b) Use the fitted model to predict the GPA of a person with a score on the Verbal SAT exam of 690.
Round your answer to two decimal places.
R² = i
✓ Ho.
Interpret this in context.
4.0
3.5
(d) What is the test statistic for a test of the slope? What is the p-value?
3.0
%
2.5
2.0
400
500
600
VerbalSAT
700
800
Transcribed Image Text:Verbal SAT as a Predictor of GPA A scatterplot with regression line is shown below for a regression model using Verbal SAT score, VerbalSAT, to predict grade point average in college, GPA, using the data in StudentSurvey. We also show computer output of the regression analysis below. The regression equation is GPA = 2.03 +0.00189 VerbalSAT. Predictor Coef SE Coef Constant VerbalSAT 0.0018929 0.0002709 6.99 0.000 Part 2 S = 0.373214 R - Sq = 12.5% R - Sq(adj) = 12.2% GPA = Part 3 b₁ = i 2.0336 Part 4 Interpret the slope in context. The test statistic is i The p-value is i 0.1621 12.54 0.000 Part 5 T P (c) What is the estimated slope in this regression model? Round your answer to five decimal places. What is the conclusion of the test? (e) What is R²? (b) Use the fitted model to predict the GPA of a person with a score on the Verbal SAT exam of 690. Round your answer to two decimal places. R² = i ✓ Ho. Interpret this in context. 4.0 3.5 (d) What is the test statistic for a test of the slope? What is the p-value? 3.0 % 2.5 2.0 400 500 600 VerbalSAT 700 800
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