This problem is based on problems 18.1, 18.2, 18.9, & 18.10 from Lomax & Hahs-Vaughn, 3rd ed. You are given the following data, where X1 (final percentage in history class) and X2 (number of absences) are used to predict Y (standardized history test score in sixth grade): Y X1 X2 370 75 4 345 70 3 400 82 0 310 61 5 480 98 0 300 65 7 415 95 2 350 78 3 375 88 3 410 72 1 465 92 2 450 89 1 390 80 1 350 70 3 Determine the following multiple regression values. Report intercept and slopes for regression equation accurate to 3 decimal places: Intercept: a= Partial slope X1: b1= Partial slope X2: b2= Report sum of squares accurate to 3 decimal places: SSreg= SSres= Test the significance of the overall regression model (report F-ratio accurate to 3 decimal places and P-value accurate to 4 decimal places): F-ratio = P-value = Report the variance of the residuals accurate to 3 decimal places: s2res= Report the results for the hypothesis test for the significance of the partial slope for final percentage in history class (report the test statistic for the regression coefficients accurate to 3 decimal places and P-value accurate to 4 decimal places): t1= P-value =
This problem is based on problems 18.1, 18.2, 18.9, & 18.10 from Lomax & Hahs-Vaughn, 3rd ed.
You are given the following data, where X1 (final percentage in history class) and X2 (number of absences) are used to predict Y (standardized history test score in sixth grade):
| Y | X1 | X2 |
|---|---|---|
| 370 | 75 | 4 |
| 345 | 70 | 3 |
| 400 | 82 | 0 |
| 310 | 61 | 5 |
| 480 | 98 | 0 |
| 300 | 65 | 7 |
| 415 | 95 | 2 |
| 350 | 78 | 3 |
| 375 | 88 | 3 |
| 410 | 72 | 1 |
| 465 | 92 | 2 |
| 450 | 89 | 1 |
| 390 | 80 | 1 |
| 350 | 70 | 3 |
Determine the following multiple regression values.
Report intercept and slopes for regression equation accurate to 3 decimal places:
Intercept: a=
Partial slope X1: b1=
Partial slope X2: b2=
Report sum of squares accurate to 3 decimal places:
SSreg=
SSres=
Test the significance of the overall regression model (report F-ratio accurate to 3 decimal places and P-value accurate to 4 decimal places):
F-ratio =
P-value =
Report the variance of the residuals accurate to 3 decimal places:
s2res=
Report the results for the hypothesis test for the significance of the partial slope for final percentage in history class (report the test statistic for the regression coefficients accurate to 3 decimal places and P-value accurate to 4 decimal places):
t1=
P-value =
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