A mathematics achievement test is given to students prior to entering a certain college. A sample...

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A mathematics achievement test is given to students prior toentering a certain college. A sample of 10 students was selectedand their progress in calculus observed:
Student
Achievement Test Score, X
Final Calculus Grade, Y
1
39
65
2
43
78
3
21
52
4
64
82
5
57
92
6
47
89
7
28
73
8
75
98
9
34
56
10
52
75
e) Complete the ANOVA table for the least squaresestimate for the regression line.
f) Test at the 5%significance level whether the model is useful for predicting thefinal calculus grade.
g) Give a 95%confidence interval for the mean final calculus grade when theachievement test score is 50.
h) Give a 95% prediction interval for the finalcalculus grade when the achievement test score is 50. Is theinterval wider or narrower than the confidence interval? Why?

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4.2 Ratings (583 Votes)

EExcel output for the Anova Table SUMMARY OUTPUTRegression StatisticsMultiple R0839785887RSquare0705240336Adjusted R Square0668395378Standard Error8703633358Observations10ANOVAdfSSMSFSignificance FRegression1144997413114499741311914075560002364532Residual86060258697575323363Total92056CoefficientsStandard Errort StatPvalueLower 95Upper 95Lower 950Upper See Answer

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Student	Achievement Test Score, X	Final Calculus Grade, Y
1	39	65
2	43	78
3	21	52
4	64	82
5	57	92
6	47	89
7	28	73
8	75	98
9	34	56
10	52	75