Run a regression analysis on the following bivariate set of data with y as the response variable. x y 93 98.7 67.3 37.3 74.6 59.4 94.2 81.2 114 96.8 98.1 101.6 66.8 58.9 77.7 40.9 64.4 52.2 79.2 46.6 97.5 80.5 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 64.9 on the response variable. What is the predicted explanatory value? x =

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 2CYU
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Run a regression analysis on the following bivariate set of data with y as the response variable.

x y
93 98.7
67.3 37.3
74.6 59.4
94.2 81.2
114 96.8
98.1 101.6
66.8 58.9
77.7 40.9
64.4 52.2
79.2 46.6
97.5 80.5

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 64.9 on the response variable.

What is the predicted explanatory value?
x = 

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