a) Estimate the intercept Bo and slope B1 regression coefficients. Write the estimated regression line. b) Compute the residuals. c) Compute SSE and estimate the variance.

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 4PPS
icon
Related questions
Question
Regression methods were used to analyze the data from a study investigating the relationship
between roadway surfaee temperature (X) and pavement deflecetion (y).
Temperature
Deflection
70
0.621
77
0.657
72.1
0.64
72.8
0.623
78.3
0.661
74.5
0.641
74
0.637
72.4
0.630
75.2
0.644
76
0.639
72.7
0.637
67.8
0.627
76,6
0.652
73.4
0.63
70.5
0.627
72.1
0.631
71.2
0.641
73
0.631
72.7
0.634
17.4
0.638
Transcribed Image Text:Regression methods were used to analyze the data from a study investigating the relationship between roadway surfaee temperature (X) and pavement deflecetion (y). Temperature Deflection 70 0.621 77 0.657 72.1 0.64 72.8 0.623 78.3 0.661 74.5 0.641 74 0.637 72.4 0.630 75.2 0.644 76 0.639 72.7 0.637 67.8 0.627 76,6 0.652 73.4 0.63 70.5 0.627 72.1 0.631 71.2 0.641 73 0.631 72.7 0.634 17.4 0.638
a) Estimate the intercept Bo and slope Bi regression coefficients Write the estimated
regression line.
b) Compute the residuals.
c) Compute SSE and estimate the variance.
d) Find the standard error of the slope and intercept coefficients.
e) Show that SST= SSR+ SSE
) Compute the coefficient of determination, R Comment on the value.
Transcribed Image Text:a) Estimate the intercept Bo and slope Bi regression coefficients Write the estimated regression line. b) Compute the residuals. c) Compute SSE and estimate the variance. d) Find the standard error of the slope and intercept coefficients. e) Show that SST= SSR+ SSE ) Compute the coefficient of determination, R Comment on the value.
Expert Solution
steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning