Run a regression analysis on the following bivariate set of data with y as the response variable. X y 103.5 90.7 58.3 62.9 90.6 70.6 65.6 63.1 71.3 63.3 72.9 66.5 49.2 48.6 69.7 70.9 94.1 88.4 67.4 60.2 72.4 72.8 72.8 68 Find the correlation coefficient and report it accurate to three decimal places. What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place. (If the answer is 0.84471, then it would be 84.5%...you would enter 84.5 without the percent symbol.) r² = Based on the data, calculate the regression line (each value to three decimal places) y = X+

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
Question
100%

Question 23: Run a regression analysis on the following bivariate set of data with y as the response variable.

x y
103.5 90.7
58.3 62.9
90.6 70.6
65.6 63.1
71.3 63.3
72.9 66.5
49.2 48.6
69.7 70.9
94.1 88.4
67.4 60.2
72.4 72.8
72.8 68

Find the correlation coefficient and report it accurate to three decimal places.
r = 

What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place.  (If the answer is 0.84471, then it would be 84.5%...you would enter 84.5 without the percent symbol.)
r² = %

Based on the data, calculate the regression line (each value to three decimal places)

y =  x + 

Predict what value (on average) for the response variable will be obtained from a value of 96.4 as the explanatory variable. Use a significance level of α=0.05α=0.05 to assess the strength of the linear correlation.

What is the predicted response value?  (Report answer accurate to one decimal place.)
y = 

Run a regression analysis on the following bivariate set of data with y as the response variable.
X
y
103.5
90.7
58.3
62.9
90.6
70.6
65.6
63.1
71.3 63.3
72.9 66.5
49.2 48.6
69.7
70.9
94.1
88.4
67.4 60.2
72.4
72.8
72.8
68
Find the correlation coefficient and report it accurate to three decimal places.
r =
What proportion of the variation in y can be explained by the variation in the values of x? Report answer as
a percentage accurate to one decimal place. (If the answer is 0.84471, then it would be 84.5%...you would
enter 84.5 without the percent symbol.)
r² =
Based on the data, calculate the regression line (each value to three decimal places)
y =
X +
Predict what value (on average) for the response variable will be obtained from a value of 96.4 as the
explanatory variable. Use a significance level of a = 0.05 to assess the strength of the linear correlation.
What is the predicted response value? (Report answer accurate to one decimal place.)
y =
Transcribed Image Text:Run a regression analysis on the following bivariate set of data with y as the response variable. X y 103.5 90.7 58.3 62.9 90.6 70.6 65.6 63.1 71.3 63.3 72.9 66.5 49.2 48.6 69.7 70.9 94.1 88.4 67.4 60.2 72.4 72.8 72.8 68 Find the correlation coefficient and report it accurate to three decimal places. r = What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place. (If the answer is 0.84471, then it would be 84.5%...you would enter 84.5 without the percent symbol.) r² = Based on the data, calculate the regression line (each value to three decimal places) y = X + Predict what value (on average) for the response variable will be obtained from a value of 96.4 as the explanatory variable. Use a significance level of a = 0.05 to assess the strength of the linear correlation. What is the predicted response value? (Report answer accurate to one decimal place.) y =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 8 images

Blurred answer
Similar 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