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

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Basic Math

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?

Answer & Explanation Solved by verified expert
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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