Education Programming Videos

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:
 

1. 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)