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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