Here is a bivariate data set. x y 52 86.3 17.5 76.4 32 77.7 33.6 77.9 26.6 77 13.7 74.5 28 77.1 28.9 77.1 32.6 78.7 39.1 81.7 5.9 68.6 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. R² = %

Here is a bivariate data set. x y 52 86.3 17.5 76.4 32 77.7 33.6 77.9 26.6 77 13.7 74.5 28 77.1 28.9 77.1 32.6 78.7 39.1 81.7 5.9 68.6 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. R² = %

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 23PFA

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Question

Here is a bivariate data set.

x	y
52	86.3
17.5	76.4
32	77.7
33.6	77.9
26.6	77
13.7	74.5
28	77.1
28.9	77.1
32.6	78.7
39.1	81.7
5.9	68.6

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.
R² = %

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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