Given are five observations for two variables, and . xi 3 5 13 15 17 yi 54 57 40 13 16 The estimated regression equation for these data is y= 68.37 + 3.05x a. Compute sse (to 2 decimals) sst (to 2 decimals) ssr (to 2 decimals) b. Compute the coefficient of determination r^2. Comment on the goodness of fit. (to 3 decimals) The least squares line provided a good fit; % of the variability in has been explained by the estimated regression equation (to 1 decimal). c. Compute the sample correlation coefficient. Enter negative value as negative number. (to 3 decimals)
Given are five observations for two variables, and . xi 3 5 13 15 17 yi 54 57 40 13 16 The estimated regression equation for these data is y= 68.37 + 3.05x a. Compute sse (to 2 decimals) sst (to 2 decimals) ssr (to 2 decimals) b. Compute the coefficient of determination r^2. Comment on the goodness of fit. (to 3 decimals) The least squares line provided a good fit; % of the variability in has been explained by the estimated regression equation (to 1 decimal). c. Compute the sample correlation coefficient. Enter negative value as negative number. (to 3 decimals)
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 5PPS
Related questions
Question
Given are five observations for two variables, and .
| xi | 3 | 5 | 13 | 15 | 17 |
| yi | 54 | 57 | 40 | 13 | 16 |
The estimated regression equation for these data is y= 68.37 + 3.05x
a. Compute
| sse | (to 2 decimals) |
| sst | (to 2 decimals) |
| ssr | (to 2 decimals) |
b. Compute the coefficient of determination r^2. Comment on the goodness of fit.
(to 3 decimals)
The least squares line provided a good fit; % of the variability in has been explained by the estimated regression equation (to 1 decimal).
c. Compute the sample
(to 3 decimals)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning