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d) What percent of the total variation in MBA applicant GPAS can be explained by the straight-line relationship for each of the continuous explanatory variables separately (Hint run simple linear regression models)? How much does self-esteem (SE) contribute to explaining GPA after the effect of IQ on GPA is taken into account? (StatCrunch) e) Now, perform another multiple regression analysis including GPA as the response or dependent variable, IQ and SE as the continuous explanatory variables and SEX as a categorical variable (Note: refer to this model as Model 2 which includes the categorical variable SEX without any interaction terms); comment on the validity and significance of this model. (StatCrunch) f) Which model (Model 1 or Model 2) is a better model? (Justify your answer) g) Write the regression equation for the full model 2 and the separate regression equations for males and females and compare their coefficients (Hint: create a male and a female subset of the base data and run separate multiple regressions on

d) What percent of the total variation in MBA applicant GPAS can be explained by the straight-line relationship for each of the continuous explanatory variables separately (Hint run simple linear regression models)? How much does self-esteem (SE) contribute to explaining GPA after the effect of IQ on GPA is taken into account? (StatCrunch) e) Now, perform another multiple regression analysis including GPA as the response or dependent variable, IQ and SE as the continuous explanatory variables and SEX as a categorical variable (Note: refer to this model as Model 2 which includes the categorical variable SEX without any interaction terms); comment on the validity and significance of this model. (StatCrunch) f) Which model (Model 1 or Model 2) is a better model? (Justify your answer) g) Write the regression equation for the full model 2 and the separate regression equations for males and females and compare their coefficients (Hint: create a male and a female subset of the base data and run separate multiple regressions on

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Data given:

 

Applicant GPA IQ SE SEX
1 7.94 111 67 1
2 8.292 107 43 1
3 4.643 100 52 1
4 7.47 107 66 1
5 8.882 114 58 0
6 7.585 115 51 1
7 7.65 111 71 1
8 2.412 97 51 1
9 6 100 49 0
10 8.833 112 51 1
11 7.47 104 35 0
12 5.528 89 54 0
13 7.167 104 54 1
14 7.571 102 64 0
15 4.7 91 56 0
16 8.167 114 69 0
17 7.822 114 55 0
18 7.598 103 65 0
19 4 106 40 1
20 6.231 105 66 0
21 7.643 113 55 1
22 1.76 109 20 1
24 6.419 108 56 0
26 9.648 113 68 1
27 10.7 130 69 0
28 10.58 128 70 1
29 9.429 128 80 1
30 8 118 53 1
31 9.585 113 65 1
32 9.571 120 67 0
33 8.998 132 62 0
34 8.333 111 39 0
35 8.175 124 71 1
36 8 127 59 1
37 9.333 128 60 0
38 9.5 136 64 1
39 9.167 106 71 1
40 10.14 118 72 0
41 9.999 119 54 0
43 10.76 123 64 1
44 9.763 124 58 1
45 9.41 126 70 1
46 9.167 116 72 1
47 9.348 127 70 1
48 8.167 119 47 1
50 3.647 97 52 1
51 3.408 86 46 0
52 3.936 102 66 1
53 7.167 110 67 1
54 7.647 120 63 1
56 6.173 115 67 1
57 7.295 93 61 1
58 7.295 72 54 0
59 8.938 111 60 0
60 7.882 103 60 0
61 8.353 123 63 1
62 5.062 79 30 1
63 8.175 119 54 1
64 8.235 110 66 1
65 7.588 110 44 1
68 7.647 107 49 1
69 5.237 74 44 0
71 7.825 105 67 1
72 7.333 112 64 0
74 9.167 105 73 1
76 7.996 110 59 1
77 8.714 107 37 0
78 7.833 103 63 0
79 4.885 77 36 1
80 8 98 64 0
83 3.82 90 42 1
84 5.936 96 28 0
85 9 112 60 0
86 9.5 112 70 0
87 6.057 114 51 1
88 6.057 93 21 0
89 6.938 106 56 1
d) What percent of the total variation in MBA applicant GPAs can be explained by the straight-line relationship for each of the continuous explanatory variables separately (Hint run simple linear regression models)? How much does self-esteem (SE) contribute to explaining GPA after the effect of IQ on GPA is taken into account? (StatCrunch) e) Now, perform another multiple regression analysis including GPA as the response or dependent variable, IQ and SE as the continuous explanatory variables and SEX as a categorical variable (Note: refer to this model as Model 2 which includes the categorical variable SEX without any interaction terms); comment on the validity and significance of this model. (StatCrunch) f) Which model (Model 1 or Model 2) is a better model? (Justify your answer) g) Write the regression equation for the full model 2 and the separate regression equations for males and females and compare their coefficients (Hint: create a male and a female subset of the base data and run separate multiple regressions on each subset) (StatCrunch)
Transcribed Image Text:d) What percent of the total variation in MBA applicant GPAs can be explained by the straight-line relationship for each of the continuous explanatory variables separately (Hint run simple linear regression models)? How much does self-esteem (SE) contribute to explaining GPA after the effect of IQ on GPA is taken into account? (StatCrunch) e) Now, perform another multiple regression analysis including GPA as the response or dependent variable, IQ and SE as the continuous explanatory variables and SEX as a categorical variable (Note: refer to this model as Model 2 which includes the categorical variable SEX without any interaction terms); comment on the validity and significance of this model. (StatCrunch) f) Which model (Model 1 or Model 2) is a better model? (Justify your answer) g) Write the regression equation for the full model 2 and the separate regression equations for males and females and compare their coefficients (Hint: create a male and a female subset of the base data and run separate multiple regressions on each subset) (StatCrunch)
The admission committee of an MBA program at a Canadian university is considering using a psychometric test of self-esteem (SE) in addition to the IQ test they administer to MBA applicants to help in their selection process. They want to assess the influence of self-esteem on candidate bachelor's GPA above and beyond IQ and sex. The Assign4Data.xlsx file contains a random sample of 77 GPA records of MBA applicants with the corresponding IQ, SE, and sex information (Female=0, Male=1). Treating GPA as the response variable and IQ, SE, and SEX as explanatory variables, answer the following questions using a 1% significance level.
Transcribed Image Text:The admission committee of an MBA program at a Canadian university is considering using a psychometric test of self-esteem (SE) in addition to the IQ test they administer to MBA applicants to help in their selection process. They want to assess the influence of self-esteem on candidate bachelor's GPA above and beyond IQ and sex. The Assign4Data.xlsx file contains a random sample of 77 GPA records of MBA applicants with the corresponding IQ, SE, and sex information (Female=0, Male=1). Treating GPA as the response variable and IQ, SE, and SEX as explanatory variables, answer the following questions using a 1% significance level.
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