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 fifth grade): YY X1X1 X2X2 375 88 3 480 98 0 310 61 5 450 89 1 345 70 3 410 72 1 465 92 2 350 70 3 370 75 4 390 80 1 420 80 2 350 78 3 415 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= 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 results for the hypothesis test for the significance of the partial slope for number of absences (report the test statistic for the regression coefficients accurate to 3 decimal places and P-value accurate to 4 decimal places): t2= P-value =
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 fifth grade):
| YY | X1X1 | X2X2 |
|---|---|---|
| 375 | 88 | 3 |
| 480 | 98 | 0 |
| 310 | 61 | 5 |
| 450 | 89 | 1 |
| 345 | 70 | 3 |
| 410 | 72 | 1 |
| 465 | 92 | 2 |
| 350 | 70 | 3 |
| 370 | 75 | 4 |
| 390 | 80 | 1 |
| 420 | 80 | 2 |
| 350 | 78 | 3 |
| 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=
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 results for the hypothesis test for the significance of the partial slope for number of absences (report the test statistic for the regression coefficients accurate to 3 decimal places and P-value accurate to 4 decimal places):
t2=
P-value =
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