Question
a) Create multiple regression model with DESIRE as the dependent variable. b) Interpret all the coefficients of regression (s) as it relates to this problem.
a) Create multiple regression model with DESIRE as the dependent variable.
b) Interpret all the coefficients of regression (s) as it relates to this problem.
c) If all other independent variables are contant, which gender has more desire for cosmetic surgery and by how much?
d) What is the adjusted coefficient of determination (r2adj). Interpret the value in the context of this problem.
e) Estimate desire for cosmetic surgery for a male college student if SELFESTM = 22.5, BODYSAT = 5.5, and IMPREAL = 4.
Create multiple regression model with DESIRE as the dependent variable.
f) Use ANOVA table to test the overall significance of the model. Write the null hypothesis, alternative hypothesis and give your decision and conclusion.
g) Test the hypothesis for significance for the 4 slopes. Write the null hypothesis, alternative hypothsis and give your decision and conclusion for each independent variables.
Create multiple regression model with DESIRE as the dependent variable.
h) Use data analysis TookPak to calculate the residuals for your model. Plot errors (residuals) on y axis and predicted DESIRE () on x axis. Test the assumption of linearity and constant variance of error based on this plot. Are these assumptions satisfied? Why or why not?
i) Apply backward elimination method to select statistically significant dependent variables to create linear multiple regression model. Clearly state the p value of the variable you eliminate each step. You do not have to show the toolpak output for each step, just show the variable eliminated and corresponding p value for each step.
| STUDENT | SELFESTM | BODYSAT | IMPREAL | GENDER | DESIRE |
| S1 | 24 | 3 | 4 | 0 | 11 |
| S2 | 20 | 3 | 4 | 0 | 13 |
| S3 | 25 | 4 | 5 | 0 | 11 |
| S4 | 22 | 9 | 4 | 1 | 11 |
| S5 | 8 | 1 | 6 | 0 | 18 |
| S6 | 33 | 7 | 6 | 1 | 8 |
| S7 | 40 | 9 | 6 | 1 | 10 |
| S8 | 19 | 3 | 6 | 0 | 16 |
| S9 | 31 | 3 | 2 | 0 | 10 |
| S10 | 21 | 1 | 4 | 0 | 15 |
| S11 | 31 | 5 | 3 | 0 | 12 |
| S12 | 15 | 1 | 4 | 0 | 17 |
| S13 | 40 | 9 | 6 | 1 | 9 |
| S14 | 24 | 1 | 3 | 0 | 11 |
| S15 | 16 | 1 | 4 | 0 | 16 |
| S16 | 37 | 8 | 4 | 1 | 8 |
| S17 | 29 | 9 | 4 | 1 | 9 |
| S18 | 31 | 6 | 6 | 0 | 14 |
| S19 | 16 | 1 | 3 | 0 | 14 |
| S20 | 14 | 1 | 4 | 0 | 14 |
| S21 | 25 | 4 | 5 | 0 | 15 |
| S22 | 12 | 1 | 1 | 0 | 13 |
| S23 | 29 | 2 | 7 | 0 | 15 |
| S24 | 30 | 9 | 5 | 1 | 11 |
| S25 | 24 | 6 | 5 | 1 | 12 |
| S26 | 27 | 3 | 6 | 0 | 18 |
| S27 | 24 | 6 | 6 | 1 | 10 |
| S28 | 15 | 1 | 3 | 0 | 14 |
| S29 | 5 | 1 | 3 | 0 | 19 |
| S30 | 20 | 1 | 2 | 0 | 11 |
| S31 | 19 | 1 | 2 | 0 | 13 |
| S32 | 17 | 2 | 3 | 1 | 13 |
| S33 | 27 | 5 | 3 | 0 | 15 |
| S34 | 38 | 9 | 5 | 1 | 7 |
| S35 | 35 | 8 | 5 | 1 | 11 |
| S36 | 27 | 3 | 6 | 0 | 12 |
| S37 | 26 | 3 | 7 | 0 | 12 |
| S38 | 34 | 6 | 3 | 0 | 9 |
| S39 | 37 | 8 | 5 | 1 | 8 |
| S40 | 36 | 8 | 1 | 1 | 9 |
| S41 | 38 | 7 | 3 | 0 | 13 |
| S42 | 18 | 1 | 3 | 0 | 11 |
| S43 | 30 | 9 | 5 | 1 | 10 |
| S44 | 19 | 1 | 4 | 0 | 13 |
| S45 | 24 | 3 | 4 | 0 | 20 |
| S46 | 36 | 9 | 5 | 1 | 15 |
| S47 | 20 | 2 | 3 | 0 | 14 |
| S48 | 40 | 9 | 4 | 1 | 11 |
| S49 | 29 | 5 | 2 | 1 | 11 |
| S50 | 25 | 3 | 5 | 0 | 15 |
| S51 | 15 | 1 | 2 | 0 | 15 |
| S52 | 31 | 8 | 3 | 1 | 14 |
| S53 | 17 | 2 | 2 | 0 | 16 |
| S54 | 12 | 1 | 4 | 0 | 15 |
| S55 | 31 | 3 | 4 | 0 | 13 |
| S56 | 17 | 1 | 4 | 0 | 16 |
| S57 | 20 | 2 | 5 | 0 | 13 |
| S58 | 22 | 2 | 3 | 0 | 12 |
| S59 | 40 | 9 | 4 | 1 | 5 |
| S60 | 33 | 9 | 5 | 1 | 9 |
| S61 | 8 | 1 | 4 | 0 | 14 |
| S62 | 25 | 5 | 1 | 1 | 12 |
| S63 | 21 | 3 | 4 | 0 | 15 |
| S64 | 27 | 3 | 4 | 0 | 18 |
| S65 | 23 | 7 | 4 | 1 | 11 |
| S66 | 28 | 8 | 5 | 1 | 12 |
| S67 | 32 | 9 | 4 | 1 | 10 |
| S68 | 28 | 4 | 1 | 0 | 12 |
| S69 | 17 | 2 | 1 | 0 | 12 |
| S70 | 30 | 8 | 2 | 1 | 9 |
| S71 | 27 | 5 | 3 | 0 | 12 |
| S72 | 30 | 4 | 3 | 0 | 13 |
| S73 | 16 | 1 | 5 | 0 | 19 |
| S74 | 34 | 9 | 4 | 1 | 9 |
| S75 | 29 | 9 | 4 | 1 | 6 |
| S76 | 28 | 5 | 5 | 1 | 13 |
| S77 | 24 | 8 | 2 | 1 | 10 |
| S78 | 27 | 2 | 5 | 0 | 14 |
| S79 | 18 | 1 | 4 | 0 | 14 |
| S80 | 31 | 9 | 5 | 1 | 12 |
| S81 | 22 | 3 | 4 | 0 | 16 |
| S82 | 16 | 1 | 6 | 0 | 18 |
| S83 | 32 | 9 | 4 | 1 | 14 |
| S84 | 23 | 5 | 7 | 0 | 14 |
| S85 | 25 | 7 | 5 | 1 | 10 |
| S86 | 19 | 3 | 4 | 1 | 11 |
| S87 | 38 | 9 | 3 | 1 | 7 |
| S88 | 31 | 7 | 2 | 1 | 9 |
| S89 | 27 | 3 | 5 | 0 | 13 |
| S90 | 20 | 1 | 2 | 0 | 12 |
| S91 | 21 | 3 | 3 | 0 | 12 |
| S92 | 21 | 1 | 5 | 0 | 14 |
| S93 | 28 | 7 | 4 | 0 | 14 |
| S94 | 22 | 4 | 4 | 0 | 10 |
| S95 | 34 | 9 | 4 | 1 | 11 |
| S96 | 25 | 8 | 5 | 1 | 9 |
| S97 | 18 | 1 | 3 | 0 | 14 |
| S98 | 35 | 7 | 2 | 1 | 8 |
| S99 | 36 | 9 | 5 | 1 | 5 |
| S100 | 22 | 3 | 3 | 0 | 12 |
| S101 | 27 | 6 | 3 | 1 | 7 |
| S102 | 23 | 4 | 4 | 0 | 15 |
| S103 | 28 | 4 | 6 | 0 | 16 |
| S104 | 23 | 3 | 4 | 0 | 14 |
| S105 | 31 | 4 | 4 | 0 | 16 |
| S106 | 23 | 1 | 3 | 0 | 17 |
| S107 | 33 | 3 | 4 | 0 | 9 |
| S108 | 35 | 5 | 5 | 0 | 10 |
| S109 | 10 | 1 | 3 | 0 | 11 |
| S110 | 15 | 1 | 2 | 0 | 14 |
| S111 | 26 | 4 | 3 | 0 | 10 |
| S112 | 7 | 1 | 4 | 0 | 15 |
| S113 | 15 | 1 | 2 | 0 | 11 |
| S114 | 15 | 1 | 4 | 0 | 17 |
| S115 | 27 | 8 | 5 | 1 | 8 |
| S116 | 30 | 9 | 4 | 1 | 6 |
| S117 | 27 | 4 | 2 | 0 | 10 |
| S118 | 22 | 6 | 3 | 1 | 9 |
| S119 | 28 | 4 | 4 | 0 | 16 |
| S120 | 25 | 1 | 5 | 0 | 18 |
| S121 | 19 | 1 | 5 | 0 | 18 |
| S122 | 4 | 1 | 3 | 0 | 13 |
| S123 | 30 | 6 | 2 | 0 | 16 |
| S124 | 22 | 6 | 4 | 1 | 15 |
| S125 | 25 | 3 | 5 | 0 | 14 |
| S126 | 24 | 5 | 4 | 1 | 13 |
| S127 | 25 | 1 | 4 | 0 | 14 |
| S128 | 30 | 9 | 3 | 1 | 7 |
| S129 | 22 | 4 | 3 | 0 | 13 |
| S130 | 35 | 9 | 4 | 1 | 11 |
| S131 | 27 | 1 | 3 | 0 | 14 |
| S132 | 19 | 7 | 4 | 0 | 14 |
| S133 | 21 | 1 | 3 | 0 | 16 |
| S134 | 27 | 7 | 5 | 1 | 9 |
| S135 | 26 | 1 | 2 | 0 | 14 |
| S136 | 28 | 1 | 3 | 0 | 13 |
| S137 | 18 | 2 | 6 | 0 | 13 |
| S138 | 18 | 5 | 3 | 1 | 11 |
| S139 | 20 | 1 | 6 | 0 | 17 |
| S140 | 35 | 8 | 5 | 0 | 11 |
| S141 | 20 | 1 | 4 | 0 | 17 |
| S142 | 40 | 9 | 5 | 1 | 12 |
| S143 | 36 | 8 | 5 | 1 | 13 |
| S144 | 19 | 2 | 1 | 0 | 10 |
| S145 | 27 | 4 | 5 | 0 | 11 |
| S146 | 12 | 1 | 2 | 0 | 13 |
| S147 | 15 | 1 | 5 | 0 | 13 |
| S148 | 20 | 1 | 5 | 0 | 18 |
| S149 | 13 | 1 | 5 | 0 | 16 |
| S150 | 28 | 4 | 5 | 0 | 14 |
| S151 | 33 | 7 | 4 | 1 | 7 |
| S152 | 26 | 7 | 4 | 1 | 11 |
| S153 | 30 | 9 | 4 | 1 | 12 |
| S154 | 35 | 5 | 4 | 0 | 14 |
| S155 | 33 | 8 | 1 | 1 | 12 |
| S156 | 19 | 2 | 5 | 0 | 14 |
| S157 | 17 | 1 | 3 | 0 | 15 |
| S158 | 27 | 4 | 7 | 0 | 16 |
| S159 | 30 | 2 | 6 | 0 | 13 |
| S160 | 32 | 9 | 7 | 1 | 8 |
| S161 | 27 | 2 | 5 | 0 | 18 |
| S162 | 30 | 8 | 6 | 1 | 9 |
| S163 | 27 | 9 | 3 | 1 | 8 |
| S164 | 15 | 1 | 5 | 0 | 18 |
| S165 | 36 | 9 | 6 | 1 | 14 |
| S166 | 25 | 3 | 5 | 0 | 18 |
| S167 | 26 | 4 | 5 | 0 | 13 |
| S168 | 13 | 5 | 6 | 1 | 9 |
| S169 | 20 | 3 | 2 | 0 | 14 |
| S170 | 27 | 8 | 3 | 1 | 6 |
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Complex Analysis
Authors: Joseph Bak, Donald J Newman
3rd Edition
1441972889, 9781441972880
