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 math class) and X2 (number of absences) are used to predict YY (standardized math test score in fifth grade): YY X1X1 X2X2 350 78 3 390 80 1 375 88 3 345 70 3 450 89 1 485 99 0 415 95 2 410 72 1 400 82 0 420 80 2 375 92 6 480 98 0 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 and coefficient of multiple determination accurate to 3 decimal places: R2= SSTotal= 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: MSres= Report the test statistics for the regression coefficients accurate to 3 decimal places: t1= t2=
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 math class) and X2 (number of absences) are used to predict YY (standardized math test score in fifth grade):
| YY | X1X1 | X2X2 |
|---|---|---|
| 350 | 78 | 3 |
| 390 | 80 | 1 |
| 375 | 88 | 3 |
| 345 | 70 | 3 |
| 450 | 89 | 1 |
| 485 | 99 | 0 |
| 415 | 95 | 2 |
| 410 | 72 | 1 |
| 400 | 82 | 0 |
| 420 | 80 | 2 |
| 375 | 92 | 6 |
| 480 | 98 | 0 |
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 and coefficient of multiple determination accurate to 3 decimal places:
R2=
SSTotal=
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:
MSres=
Report the test statistics for the regression coefficients accurate to 3 decimal places:
t1=
t2=
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