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Jgal Jgal
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3 weeks ago
Use the following to answer the questions below:

Output for a model to predict the GPAs of students at a small university based on their Math SAT scores, Verbal SAT scores, and the number of hours spent watching television in a typical week is provided.

The regression equation is
GPA = 1.80 + 0.00104 Math SAT + 0.00142 Verbal SAT - 0.0147 TV

PredictorCoefSE CoefTP
Constant1.80150.18429.780.000
Math SAT 0.00104420.0002500 4.180.000
Verbal SAT0.00141820.00023985.910.000
TV-0.0147080.003269-4.500.000
S = 0.366780        R-Sq = ????%        R-Sq(adj) = 19.0%

Analysis of Variance

SourceDFSSMSFP
Regression?14.48864.829535.900.000
Residual Error?59.73040.1345
Total44774.2190

A dotplot of the residuals and a scatterplot of the residuals versus the predicted values are provided. Discuss whether the conditions for a multiple linear regression are reasonable by referring to the appropriate plots.

A dotplot depicts the results of the conditions for a multiple linear regression. The horizontal axis is labeled, Residuals and has markings from negative 1.40 to 0.70 in increments of 0.35. A series of dots is plotted vertically for certain markings on the horizontal axis. The densely plotted dots are approximately bell-shaped. The series of dots begins at negative 1.45 on the horizontal axis. The heights of the plotted dots increase gradually from the left with a few ups and downs and reach the peak of 37 dots at 0.20 on the horizontal axis. Then the heights of the dots decrease gradually to the right with a few ups and downs and end at 0.95 on the horizontal axis. All values are approximate.
A scatterplot with regression line shows the relationship between predicted G P A and residual. The horizontal axis is labeled, Predicted G P A and has markings from 2.50 to 3.75 in increments of 0.25. The vertical axis is labeled, Residual and has markings from negative 1.5 to 1.0 in increments of 0.5. The regression line starts from (2.48, 0.0), extends horizontally to the right, and ends at (3.77, 0). The cluster of densely plotted dots are throughout the regression, such that a few dots lie above the regression line, a few dots lie below the regression line, and a few dots lie on the regression line. The dots are plotted between the points, 2.55 to 3.65 on the horizontal axis and between the points, negative 1.5 to 0.9 on the vertical axis. The concentration of the dots is more between the points 3.00 and 3.50 on the horizontal axis and between the points, negative 1.0 and 0.8 on the vertical axis. All values are approximate.
Textbook 
Statistics: Unlocking the Power of Data

Statistics: Unlocking the Power of Data


Edition: 3rd
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AdieMichelleAdieMichelle
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