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 fifth grade): Y X1 X2 300 65 7 350 78 3 450 89 1 390 80 1 370 75 4 375 92 6 485 99 0 375 88 3 415 95 2 465 92 2 420 80 2 345 70 3
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 fifth grade): Y X1 X2 300 65 7 350 78 3 450 89 1 390 80 1 370 75 4 375 92 6 485 99 0 375 88 3 415 95 2 465 92 2 420 80 2 345 70 3
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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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 fifth grade):
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=
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:
s2res=
Report the test statistics for the regression coefficients accurate to 3 decimal places:
t1=
t2=
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 fifth grade):
| Y | X1 | X2 |
|---|---|---|
| 300 | 65 | 7 |
| 350 | 78 | 3 |
| 450 | 89 | 1 |
| 390 | 80 | 1 |
| 370 | 75 | 4 |
| 375 | 92 | 6 |
| 485 | 99 | 0 |
| 375 | 88 | 3 |
| 415 | 95 | 2 |
| 465 | 92 | 2 |
| 420 | 80 | 2 |
| 345 | 70 | 3 |
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=
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:
s2res=
Report the test statistics for the regression coefficients accurate to 3 decimal places:
t1=
t2=
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