For the following data: X Y 1 2 4 7 3 5 2 1 5 14 3 7

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.4: Linear Regression
Problem 12SBE: Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
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For the following data:
Y
1
2
4
7
3
5
2
1
14
3
7
Complete the following table.
ΣΧ2
ΣΥ2
ΣΧΥ
SSx
SSY
SP
64
324
138
10
108
30
Find the regression equation for predicting Y from X.
Ý = 6X + 3
= 3X - 3
Ỹ = 9X - 3
= 3X + 6
Transcribed Image Text:For the following data: Y 1 2 4 7 3 5 2 1 14 3 7 Complete the following table. ΣΧ2 ΣΥ2 ΣΧΥ SSx SSY SP 64 324 138 10 108 30 Find the regression equation for predicting Y from X. Ý = 6X + 3 = 3X - 3 Ỹ = 9X - 3 = 3X + 6
Complete the following table.
ΣΧ2
ΣΥ2
ΣΧΥ
SSx
SSY
SP
64
324
138
10
108
Find the regression equation for predicting Y from X.
Ý
= 6X + 3
Ỹ = 3X - 3
ОY3 9X - 3
%3D
Ý
= 3X + 6
Does the regression equation account for a significant portion of the variance in the Y scores? Use a = .05 to evaluate the F-ratio. (Round your
answers to two decimal places for SSRes , SSReg, MSRes , and MSReg and to three decimal places for F-ratio and Feritical ·)
SSRes
dfRes
SSReg
dfreg
MSReg
F
crit
9.40
90.03
1
4.49
90.03
20.051
7.709
The regression equation for the given X and Y values
does
account for a significant portion of the variance in the Y scores.
30
Transcribed Image Text:Complete the following table. ΣΧ2 ΣΥ2 ΣΧΥ SSx SSY SP 64 324 138 10 108 Find the regression equation for predicting Y from X. Ý = 6X + 3 Ỹ = 3X - 3 ОY3 9X - 3 %3D Ý = 3X + 6 Does the regression equation account for a significant portion of the variance in the Y scores? Use a = .05 to evaluate the F-ratio. (Round your answers to two decimal places for SSRes , SSReg, MSRes , and MSReg and to three decimal places for F-ratio and Feritical ·) SSRes dfRes SSReg dfreg MSReg F crit 9.40 90.03 1 4.49 90.03 20.051 7.709 The regression equation for the given X and Y values does account for a significant portion of the variance in the Y scores. 30
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