Consider the data. xi 1 2 3 4 5 yi 4 8 4 12 12 The estimated regression equation for these data is ŷ = 2.00 + 2.00x. (a) Compute SSE, SST, and SSR using equations SSE = Σ(yi − ŷi)2, SST = Σ(yi − y)2, and SSR = Σ(ŷi − y)2. SSE=? SST=? SSR=? (b) Compute the coefficient of determination r2. r2 = ?? Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) -The least squares line did not provide a good fit as a small proportion of the variability in y has been explained by the least squares line. -The least squares line did not provide a good fit as a large proportion of the variability in y has been explained by the least squares line. -The least squares line provided a good fit as a large proportion of the variability in y has been explained by the least squares line. -The least squares line provided a good fit as a small proportion of the variability in y has been explained by the least squares line. (c)Compute the sample correlation coefficient. (Round your answer to three decimal places.) ??
Consider the data. xi 1 2 3 4 5 yi 4 8 4 12 12 The estimated regression equation for these data is ŷ = 2.00 + 2.00x. (a) Compute SSE, SST, and SSR using equations SSE = Σ(yi − ŷi)2, SST = Σ(yi − y)2, and SSR = Σ(ŷi − y)2. SSE=? SST=? SSR=? (b) Compute the coefficient of determination r2. r2 = ?? Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) -The least squares line did not provide a good fit as a small proportion of the variability in y has been explained by the least squares line. -The least squares line did not provide a good fit as a large proportion of the variability in y has been explained by the least squares line. -The least squares line provided a good fit as a large proportion of the variability in y has been explained by the least squares line. -The least squares line provided a good fit as a small proportion of the variability in y has been explained by the least squares line. (c)Compute the sample correlation coefficient. (Round your answer to three decimal places.) ??
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.CR: Review Exercises
Problem 89CR: Cellular Phone Subscribers The table shows the numbers of cellular phone subscribers y in millions...
Related questions
Question
Consider the data.
|
xi
|
1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
|
yi
|
4 | 8 | 4 | 12 | 12 |
The estimated regression equation for these data is
ŷ = 2.00 + 2.00x.
(a)
Compute SSE, SST, and SSR using equations
SSE = Σ(yi − ŷi)2, SST = Σ(yi − y)2, and SSR = Σ(ŷi − y)2.
SSE=?
SST=?
SSR=?
(b)
Compute the coefficient of determination r2.
r2 = ??
Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.)
-The least squares line did not provide a good fit as a small proportion of the variability in y has been explained by the least squares line.
-The least squares line did not provide a good fit as a large proportion of the variability in y has been explained by the least squares line.
-The least squares line provided a good fit as a large proportion of the variability in y has been explained by the least squares line.
-The least squares line provided a good fit as a small proportion of the variability in y has been explained by the least squares line.
(c)Compute the sample correlation coefficient . (Round your answer to three decimal places.)
??
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 6 steps
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill