x y 23 91.3 28.4 79.4 28.6 72.6 41.3 56.9 19.1 97 29.9 71.9 29.5 77.9 36.6 65.4 33.3 67.8 24.9 78.8 28.6 77.8 Verify that the correlation is significant at an α=0.05α=0.05. If the correlation is indeed significant, predict what value (on average) for the explanatory variable will give you a value of 81.9 on

x y 23 91.3 28.4 79.4 28.6 72.6 41.3 56.9 19.1 97 29.9 71.9 29.5 77.9 36.6 65.4 33.3 67.8 24.9 78.8 28.6 77.8 Verify that the correlation is significant at an α=0.05α=0.05. If the correlation is indeed significant, predict what value (on average) for the explanatory variable will give you a value of 81.9 on

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

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

x	y
23	91.3
28.4	79.4
28.6	72.6
41.3	56.9
19.1	97
29.9	71.9
29.5	77.9
36.6	65.4
33.3	67.8
24.9	78.8
28.6	77.8

Verify that the correlation is significant at an α=0.05α=0.05. If the correlation is indeed significant, predict what value (on average) for the explanatory variable will give you a value of 81.9 on the response variable.

What is the predicted explanatory value?
x =

(Report answer accurate to one decimal place.)

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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