Run a stepwise regression on the dataset

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Reference no: EM132596509

Task

Question 1. Consider the following data for 15 subjects with two predictors. The dependent variable, MARK, is the total score for a subject on an examination. The first predictor, COMP, is the score for the subject on a so-called compulsory paper. The other predictor, CERTIF, is the score for the subject on a previous exam.

Student	MARK	COMP	CERTIF
1	476	111	68
2	457	92	46
3	540	90	50
4	551	107	59
5	575	98	50
6	698	150	66
7	545	118	54
8	574	110	51
9	645	117	59
10	556	94	97
11	634	130	57
12	637	118	51
13	390	91	44
14	562	118	61
15	560	109	66

a. Run a stepwise regression on the dataset
b. Does CERTIF add anything to predicting MARK, above and beyond that of COMP?
c. Write out the prediction equation.
d. A statistician wishes to know the sample size needed in a multiple regression study. She has 4 predictors and can tolerate at most a .10 drop-off in predictive power. But she wants this to be the case with .95 probability. From previous related research, the estimated squared population multiple correlation is .62. How many subjects are needed?

Question 2. What statistical assumptions must be met to use multiple regression analysis and how do you evaluate the assumptions?

Reference no: EM132596509

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