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.) 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
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Run a regression analysis on the following bivariate set of data with y as the response variable.
X
y
55.3
42.3
34.4
24.7
40.7
-3
2
17.7
36.1
0.9
27.6
15.6
27.6
10.4
30.5
102.8
82.5
64.9
79.1
63.1
52.1
52.2
-1
Find the correlation coefficient and report it accurate to three decimal places.
9
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 =
%
y =
Based on the data, calculate the regression line (each value to three decimal places)
X+
Predict what value (on average) for the response variable will be obtained from a value of 39.5 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 55.3 42.3 34.4 24.7 40.7 -3 2 17.7 36.1 0.9 27.6 15.6 27.6 10.4 30.5 102.8 82.5 64.9 79.1 63.1 52.1 52.2 -1 Find the correlation coefficient and report it accurate to three decimal places. 9 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 = % y = Based on the data, calculate the regression line (each value to three decimal places) X+ Predict what value (on average) for the response variable will be obtained from a value of 39.5 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 =
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