Here is a bivariate data set. x y 20.9 34.2 31.4 144.9 44.3 84.7 55.4 79.8 58.9 50.8 68.7 -74.4 39.5 117.7 58.7 -117.6 71.6 -74.3 23.1 109 36.6 79.9 54.4 -33 62.2 -121 78.5 -81.9 77.8 -16.1 56.4 -103.7 This data can be downloaded as a *.csv file with this link: Download CSV 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 20.9 34.2 31.4 144.9 44.3 84.7 55.4 79.8 58.9 50.8 68.7 -74.4 39.5 117.7 58.7 -117.6 71.6 -74.3 23.1 109 36.6 79.9 54.4 -33 62.2 -121 78.5 -81.9 77.8 -16.1 56.4 -103.7 This data can be downloaded as a *.csv file with this link: Download CSV 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

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Here is a bivariate data set.

x	y
20.9	34.2
31.4	144.9
44.3	84.7
55.4	79.8
58.9	50.8
68.7	-74.4
39.5	117.7
58.7	-117.6
71.6	-74.3
23.1	109
36.6	79.9
54.4	-33
62.2	-121
78.5	-81.9
77.8	-16.1
56.4	-103.7

This data can be downloaded as a *.csv file with this link: Download CSV

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 Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.

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