onsider the data. xi 2 6 9 13 20 yi 6 16 9 24 22 a. The estimated regression equation for these data is ŷ = 6.4 + 0.9x. What percentage of the total sum of squares can be accounted for by the estimated regression equation? (Round your answer to one decimal place.) b. What is the value of the sample correlation coefficient? (Round your answer to three decimal places.)

onsider the data. xi 2 6 9 13 20 yi 6 16 9 24 22 a. The estimated regression equation for these data is ŷ = 6.4 + 0.9x. What percentage of the total sum of squares can be accounted for by the estimated regression equation? (Round your answer to one decimal place.) b. What is the value of the sample correlation coefficient? (Round your answer to three decimal places.)

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 17HP

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Question

Consider the data.

x_i	2	6	9	13	20
y_i	6	16	9	24	22

a. The estimated regression equation for these data is

ŷ = 6.4 + 0.9x.

What percentage of the total sum of squares can be accounted for by the estimated regression equation? (Round your answer to one decimal place.)

b. What is the value of the sample correlation coefficient? (Round your answer to three decimal places.)

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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