You are given the following data, where X1X1 (final percentage in science class) and X2X2 (number of absences) are used to predict YY (standardized science test score in third grade): X1X1 X2X2 YY 95 2 415 82 0 400 92 6 375 72 1 410 75 4 370 80 1 390 78 3 350 70 3 345 65 7 300 70 3 350 88 3 375 89 1 450 Determine the following multiple regression values. Report intercept and slopes for regression equation accurate to at least 2 decimal places: Intercept: b0=b0= Partial slope X1X1: b1=b1= Partial slope X2X2: b2=b2= Report the coefficient of multiple determination for the model (NOT the adjusted R2R2) and the sum of squares total accurate to at least 2 decimal places: R2=R2= SSTotal=SSTotal= Test the significance of the overall regression model. F-test statistic = P-value = Report the Mean Squares residuals accurate to 2 decimal places: Report the test statistics for the regression coefficients accurate to 2 decimal places: The test statistics for b1b1, t=t= The test statistics for b2b2, t=t=
You are given the following data, where X1X1 (final percentage in science class) and X2X2 (number of absences) are used to predict YY (standardized science test score in third grade):
| X1X1 | X2X2 | YY |
|---|---|---|
| 95 | 2 | 415 |
| 82 | 0 | 400 |
| 92 | 6 | 375 |
| 72 | 1 | 410 |
| 75 | 4 | 370 |
| 80 | 1 | 390 |
| 78 | 3 | 350 |
| 70 | 3 | 345 |
| 65 | 7 | 300 |
| 70 | 3 | 350 |
| 88 | 3 | 375 |
| 89 | 1 | 450 |
Determine the following multiple regression values.
Report intercept and slopes for regression equation accurate to at least 2 decimal places:
Intercept: b0=b0=
Partial slope X1X1: b1=b1=
Partial slope X2X2: b2=b2=
Report the coefficient of multiple determination for the model (NOT the adjusted R2R2) and the sum of squares total accurate to at least 2 decimal places:
R2=R2=
SSTotal=SSTotal=
Test the significance of the overall regression model.
F-test statistic =
P-value =
Report the Mean Squares residuals accurate to 2 decimal places:
Report the test statistics for the regression coefficients accurate to 2 decimal places:
The test statistics for b1b1, t=t=
The test statistics for b2b2, t=t=
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