You are given the following data, where X₁ (GRE total score) and X₂ (undergraduate GPA) are used to predict Y (graduate GPA): Y X₁ X₂ 3.1 90 2.8 4 145 3.2 3.6 135 2.6 3.3 115 2.7 2.8 3.8 3.6 3.1 3.2 2.7 125 110 3.8 125 3.2 105 3.4 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 accurate to 3 decimal places: S.Steg S.STotal 95 3 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: M.Sres = 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) = t₁ =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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J 1
You are given the following data, where X₁ (GRE total score) and X₂ (undergraduate GPA) are used to
predict Y (graduate GPA):
Y
3.1
4
3.6
3.3
3.2
2.7
3.8
3.2
3.4
Click here to download this data set: Download CSV
X₁ X2
90 2.8
145
3.2
135
2.6
115
2.7
125
2.8
110
3.8
125 3.6
105 3.1
95 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:
S.Sreg =
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)
t₁ =
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): Y 3.1 4 3.6 3.3 3.2 2.7 3.8 3.2 3.4 Click here to download this data set: Download CSV X₁ X2 90 2.8 145 3.2 135 2.6 115 2.7 125 2.8 110 3.8 125 3.6 105 3.1 95 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: S.Sreg = 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) t₁ =
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