You are given the following data, where X1 (final percentage in science class) and X2 (number of absences) are used to predict Y (standardized science test score in fourth grade): Y X1 X2 480 98 415 95 2. 345 70 3 375 88 310 61 5 420 80 2 400 82 465 92 2. 370 75 4 300 65 7 410 72 350 78 3 Determine the following multiple regression values. Report intercept and slopes for regression equation accurate to 3 decimal places: Intercept: a = Partial slope X1: bı = Partial slope X2: bz = Report sum of squares and coefficient of multiple determination accurate to 3 decimal places: R = 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 test statistics for the regression coefficients accurate to 3 decimal places: t1 = %3!

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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You are given the following data, where X1 (final percentage in science class) and X2 (number of
absences) are used to predict Y (standardized science test score in fourth grade):
Y X1 X2
480
98
415
95
2
345
70
375
88
3
310
61
5
420
80
2.
400
82
465
92
2.
370
75
4
300
65
7
410
72
1
350
78
Determine the following multiple regression values.
Report intercept and slopes for regression equation accurate to 3 decimal places:
Intercept: a =
Partial slope X1: bı =
Partial slope X2: b
%3D
Report sum of squares and coefficient of multiple determination accurate to 3 decimal places:
R
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 test statistics for the regression coefficients accurate to 3 decimal places:
t1 =
t2
%3D
Transcribed Image Text:You are given the following data, where X1 (final percentage in science class) and X2 (number of absences) are used to predict Y (standardized science test score in fourth grade): Y X1 X2 480 98 415 95 2 345 70 375 88 3 310 61 5 420 80 2. 400 82 465 92 2. 370 75 4 300 65 7 410 72 1 350 78 Determine the following multiple regression values. Report intercept and slopes for regression equation accurate to 3 decimal places: Intercept: a = Partial slope X1: bı = Partial slope X2: b %3D Report sum of squares and coefficient of multiple determination accurate to 3 decimal places: R 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 test statistics for the regression coefficients accurate to 3 decimal places: t1 = t2 %3D
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