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# \$40.00Regression Equation GPA = 2.24987 + 0.0845116 Edu Prog Hours (per week of TV)

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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 GPA = 2.24987 + 0.0845116 Edu Prog Hours (per week of TV) Coefficients Term Coef SE Coef T P 95% CI Constant Constant 2.24987 0.231364 9.72439 0.000 (1.70278, 2.79696) Edu Prog Hours (per week of TV) 0.08451 0.019370 4.36297 0.003 (0.03871, 0.13031)
 Summary of Model S = 0.254693 R-Sq = 73.11% R-Sq(adj) = 69.27% PRESS = 1.10075 R-Sq(pred) = 34.82%
 Analysis of Variance Source DF Seq SS Adj SS Adj MS F Regression 1 1.23481 1.23481 1.23481 19.0355 Edu Prog Hours (per week of TV) 1 1.23481 1.23481 1.23481 19.0355 Error 7 0.45408 0.45408 0.06487 Total 8 1.68889 Source P Regression 0.0033022 Edu Prog Hours (per week of TV) 0.0033022 Error Total
 Predicted Values for New Observations New Obs Fit SE Fit 95% CI 95% PI 1 3.09499 0.0875834 (2.88789, 3.30209) (2.45812, 3.73186)
 Values of Predictors for New Observations New Obs Edu Prog Hours (per week of TV) 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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Regression Equation GPA = 2.24987 + 0.0845116 Edu Prog Hours (per week of TV)
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• Posted on Feb 22, 2012 at 9:39:46PM
A:
Preview: ... ed)? (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)Â  a) GPA = 2.24987 + 0.0845116 Edu Prog HoursÂ  Y represents GPA X education program per week of TVÂ  b)Â  For b0 we ...

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