A study was conducted to detemine whether the final grade of a student in STA 2260 course is linearly related to his or her performance on the Normal-Distribution Webwork assignment. The Webwork scores and final grades for 10 students are shown in the table below. Student Webwork Score x Final Grade y 1 56 66 2 72 89 3 71 84 4 71 85 5 47 56 6 69 79 7 63 74 8 35 42 9 54 68 10 52 59 Find the following:  a) Compute the value of SST (Total Sum of Squares)  answer:  (b) Compute the value of SSR (Regression Sum of Squares) answer: (c) Compute the value of SSE (Error Sum of Squares) answer: (d) The coefficient of determination is answer: (e) What percent of variation in the observed values of the response variable is explained by the regression? answer:

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question

A study was conducted to detemine whether the final grade of a student in STA 2260 course is linearly related to his or her performance on the Normal-Distribution Webwork assignment. The Webwork scores and final grades for 10 students are shown in the table below.

Student Webwork Score x Final Grade y
1 56 66
2 72 89
3 71 84
4 71 85
5 47 56
6 69 79
7 63 74
8 35 42
9 54 68
10 52 59


Find the following: 
a) Compute the value of SST (Total Sum of Squares) 
answer: 

(b) Compute the value of SSR (Regression Sum of Squares)
answer:

(c) Compute the value of SSE (Error Sum of Squares)
answer:

(d) The coefficient of determination is
answer:

(e) What percent of variation in the observed values of the response variable is explained by the regression?
answer:

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman