Here is a bivariate data set. x y 40.4 50.5 23.4 27.4 26.5 93.3 42.9 -16.6 29.5 4 49.8 -11.8 43.6 -13.2 23.8 91.9 40.1 -5.8 35.7 21.5 12.5 52.2 31.6 0.2 52 0.4 36.6 26.9 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 40.4 50.5 23.4 27.4 26.5 93.3 42.9 -16.6 29.5 4 49.8 -11.8 43.6 -13.2 23.8 91.9 40.1 -5.8 35.7 21.5 12.5 52.2 31.6 0.2 52 0.4 36.6 26.9 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 = %

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 8E

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Question

Here is a bivariate data set.

x	y
40.4	50.5
23.4	27.4
26.5	93.3
42.9	-16.6
29.5	4
49.8	-11.8
43.6	-13.2
23.8	91.9
40.1	-5.8
35.7	21.5
12.5	52.2
31.6	0.2
52	0.4
36.6	26.9

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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