ted regression equation for these data is ŷ= 66.18-2.38x, e SSE, SST, and SSR. (to 2 decimals) (to 2 decimals) (to 2 decimals) e the coefficient of determination ². Comment on the goodness of fit. (to 3 decimals)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
icon
Related questions
Question
Given are five observations for two variables, x and y.
The estimated regression equation for these data is ŷ = 66.18 - 2.38x.
a. Compute SSE, SST, and SSR.
2 9 14 18 20
Xi
Yi 50 60 41 18 12
SSE
(to 2 decimals)
SST
(to 2 decimals)
SSR
(to 2 decimals)
b. Compute the coefficient of determination r². Comment on the goodness of fit.
(to 3 decimals)
fit;
The least squares line provided an good
c. Compute the sample correlation coefficient. Enter negative value as negative number.
(to 3 decimals)
*% of the variability in y has been explained by the estimated regression equation (to 1 decimal).
Transcribed Image Text:Given are five observations for two variables, x and y. The estimated regression equation for these data is ŷ = 66.18 - 2.38x. a. Compute SSE, SST, and SSR. 2 9 14 18 20 Xi Yi 50 60 41 18 12 SSE (to 2 decimals) SST (to 2 decimals) SSR (to 2 decimals) b. Compute the coefficient of determination r². Comment on the goodness of fit. (to 3 decimals) fit; The least squares line provided an good c. Compute the sample correlation coefficient. Enter negative value as negative number. (to 3 decimals) *% of the variability in y has been explained by the estimated regression equation (to 1 decimal).
Expert Solution
steps

Step by step

Solved in 7 steps with 6 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
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