Consider the data. x 3 12 6 20 14 Y; 60 40 50 15 20 The estimated regression equation for these data is ý = 67.25 -2.75x. (a) Compute SSE, SST, and SSR using equations SSE = (x,-)², SST = (y₁ - y)², and SSR = = (₁-7)². x SSE=1361.25 SST = SSR =
Consider the data. x 3 12 6 20 14 Y; 60 40 50 15 20 The estimated regression equation for these data is ý = 67.25 -2.75x. (a) Compute SSE, SST, and SSR using equations SSE = (x,-)², SST = (y₁ - y)², and SSR = = (₁-7)². x SSE=1361.25 SST = SSR =
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.CR: Chapter Review Exercises
Problem 16CR: XYZ Corporation Stock Prices The following table shows the average stock price, in dollars, of XYZ...
Related questions
Question
100%
![Consider the data.
X;
3 12 6 20 14
60
40
50 15 20
The estimated regression equation for these data is ý = 67.25 -2.75x.
(a) Compute SSE, SST, and SSR using equations SSE = (y₁ - ;)², SST = (y₁ - y)², and SSR = [(y₁ - y)².
SSE = 1361.25
X
SST =
SSR =
(b) Compute the coefficient of determination 2. (Round your answer to three decimal places.)
² = 0.920
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 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 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 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 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.)
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9402dae5-21a3-4dc7-9cf5-c78b86597c29%2Fb0b34b80-ed02-4d61-bced-4d68b45a56fd%2Fr11i6jg_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the data.
X;
3 12 6 20 14
60
40
50 15 20
The estimated regression equation for these data is ý = 67.25 -2.75x.
(a) Compute SSE, SST, and SSR using equations SSE = (y₁ - ;)², SST = (y₁ - y)², and SSR = [(y₁ - y)².
SSE = 1361.25
X
SST =
SSR =
(b) Compute the coefficient of determination 2. (Round your answer to three decimal places.)
² = 0.920
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 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 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 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 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.)
X
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Functions and Change: A Modeling Approach to Coll…](https://www.bartleby.com/isbn_cover_images/9781337111348/9781337111348_smallCoverImage.gif)
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)](https://www.bartleby.com/isbn_cover_images/9781305071742/9781305071742_smallCoverImage.gif)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_smallCoverImage.gif)
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
![Functions and Change: A Modeling Approach to Coll…](https://www.bartleby.com/isbn_cover_images/9781337111348/9781337111348_smallCoverImage.gif)
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)](https://www.bartleby.com/isbn_cover_images/9781305071742/9781305071742_smallCoverImage.gif)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_smallCoverImage.gif)
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)