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 =_______________ % C. Based on the data, calculate the regression line (each value to three decimal places) y =___________ x + _______________

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 =_________ % C. Based on the data, calculate the regression line (each value to three decimal places) y =_ x + ___________

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 24PFA

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question 21

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

x	y
43.8	54.1
41.3	51.2
35.3	60.1
48.1	44.9
42.8	51.8
44.7	50.8
39.4	56.6
38.2	56.6
40.7	53.5
45.3	51.1
45	46.7
41.1	52.2

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

B. 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 =_______________ %

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

y =___________ x + _______________

Definition Definition Relationship between two independent variables. A correlation tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

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