You are given the following data, where X₁ (GRE total score) and X2 (undergraduate GPA) are used to predict Y (graduate GPA): Y 3.9 3.2 3.8 X₁ X₂ 120 3.7 105 3.1 125 3.6 3 105 2.4 3.7 130 2.9 3.6 110 3.5 3.3 115 2.7 Click here to download this data set: Download CSV 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 and coefficient of multiple determination accurate to 3 decimal places: R² = SS-Total 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=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 6PPS
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You are given the following data, where X₁ (GRE total score) and X₂ (undergraduate GPA) are used to
predict Y (graduate GPA):
Partial slope X₁: b₁
Click here to download this data set: Download CSV
Partial slope X₂: b2
Determine the following multiple regression values.
Report intercept and slopes for regression equation accurate to 3 decimal places:
Intercept: a =
=
Y
3.9
3.2
3.8
X₁ X₂
120
3.7
105
3.1
125
3.6
105
2.4
130
2.9
3.5
3.3 115 2.7
=
=
t₁
3.7
3.6
Report sum of squares and coefficient of multiple determination accurate to 3 decimal places:
R²
SS'Total
=
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 standard error of the partial slope estimate for GRE total along with the test statistic (report
answers accurate to 3 decimal places):
s(b₁)
Transcribed Image Text:You are given the following data, where X₁ (GRE total score) and X₂ (undergraduate GPA) are used to predict Y (graduate GPA): Partial slope X₁: b₁ Click here to download this data set: Download CSV Partial slope X₂: b2 Determine the following multiple regression values. Report intercept and slopes for regression equation accurate to 3 decimal places: Intercept: a = = Y 3.9 3.2 3.8 X₁ X₂ 120 3.7 105 3.1 125 3.6 105 2.4 130 2.9 3.5 3.3 115 2.7 = = t₁ 3.7 3.6 Report sum of squares and coefficient of multiple determination accurate to 3 decimal places: R² SS'Total = 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 standard error of the partial slope estimate for GRE total along with the test statistic (report answers accurate to 3 decimal places): s(b₁)
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