$40.00 Regression Equation GPA = 2.24987 + 0.0845116 Edu Prog Hours (per week of TV)
Found in Education: General-EducationChapter 1, # 8
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ABC School performed a survey on high school students to determine whether watching more educational programming earned a higher GPA. The analysis revealed the following:
Refer to the Minitab output below to answer questions A through G.
|
Regression Equation |
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GPA = 2.24987 + 0.0845116 Edu Prog Hours (per week of TV) |
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Coefficients |
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Term |
Coef |
SE Coef |
T |
P |
95% CI Constant |
|
Constant |
2.24987 |
0.231364 |
9.72439 |
0.000 |
(1.70278, 2.79696) |
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Edu Prog Hours (per week of TV) |
0.08451 |
0.019370 |
4.36297 |
0.003 |
(0.03871, 0.13031) |
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Summary of Model |
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S = 0.254693 |
R-Sq = 73.11% |
R-Sq(adj) = 69.27% |
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PRESS = 1.10075 |
R-Sq(pred) = 34.82% |
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Analysis of Variance |
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Source |
DF |
Seq SS |
Adj SS |
Adj MS |
F |
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Regression |
1 |
1.23481 |
1.23481 |
1.23481 |
19.0355 |
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Edu Prog Hours (per week of TV) |
1 |
1.23481 |
1.23481 |
1.23481 |
19.0355 |
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Error |
7 |
0.45408 |
0.45408 |
0.06487 |
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Total |
8 |
1.68889 |
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Source |
P |
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|
Regression |
0.0033022 |
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Edu Prog Hours (per week of TV) |
0.0033022 |
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Error |
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Total |
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Predicted Values for New Observations |
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New Obs |
Fit |
SE Fit |
95% CI |
95% PI |
|
1 |
3.09499 |
0.0875834 |
(2.88789, 3.30209) |
(2.45812, 3.73186) |
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Values of Predictors for New Observations |
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|
New Obs |
Edu Prog Hours (per week of TV) |
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1 |
10 |
(A) Analyze the above output to determine the regression equation. (10 points)
(B) What conclusions are possible using the meaning of b0 (intercept) and b1 (regression coefficient) in this problem? (That is, explain the meaning of the coefficients.) (10 points)
(C) What conclusions are possible using the coefficient of determination (r-squared)? (6 points)
(D) Calculate the coefficient of correlation. Interpret this value. (6 points)
(E) Does this data provide significant evidence (a=0.05) that the student GPA is related to the number of educational programming watched on TV? Find the p-value and interpret. (6 points)
(F) Predict the average GPA for watching 10 hours of educational programming on TV. (6 points)
(G) What is the 95% confidence interval for average GPA for watching 10 hours of educational programming on TV? What conclusion is possible using this interval? (6 points)
(Points : 50)
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- Posted on Feb 22, 2012 at 9:39:46PM
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