You are given the following data, where X1X1 (final percentage in math class) and X2X2 (number of absences) are used to predict YY (standardized math test score in fourth grade): YY X1X1 X2X2 400 82 0 390 80 1 375 88 3 485 99 0 350 70 3 480 98 0 410 72 1 300 65 7 345 70 3 450 89 1 310 61 5 415 95 2 Determine the following multiple regression values. Report intercept and slopes for regression equation accurate to 3 decimal places: Intercept: a= Partial slope X1X1: b1= Partial slope X2X2: 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: MSres=
You are given the following data, where X1X1 (final percentage in math class) and X2X2 (number of absences) are used to predict YY (standardized math test score in fourth grade):
| YY | X1X1 | X2X2 |
|---|---|---|
| 400 | 82 | 0 |
| 390 | 80 | 1 |
| 375 | 88 | 3 |
| 485 | 99 | 0 |
| 350 | 70 | 3 |
| 480 | 98 | 0 |
| 410 | 72 | 1 |
| 300 | 65 | 7 |
| 345 | 70 | 3 |
| 450 | 89 | 1 |
| 310 | 61 | 5 |
| 415 | 95 | 2 |
Determine the following multiple regression values.
Report intercept and slopes for regression equation accurate to 3 decimal places:
Intercept: a=
Partial slope X1X1: b1=
Partial slope X2X2: 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:
MSres=
Report the test statistics for the regression coefficients accurate to 3 decimal places:
t1=
t2=
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