Run a regression analysis on the following bivariate set of data with y as the response variable. x y 56.7 54.9 30.3 149.8 59.5 38.6 78.7 40.4 71 33.4 65.5 50.7 89.3 -1.4 68.5 65.2 60.6 30.4 35.8 105.9 64.1 72.8 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 144.2 on the response variable. What is the predicted explanatory value? x =

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 5E
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Run a regression analysis on the following bivariate set of data with y as the response variable.

x y
56.7 54.9
30.3 149.8
59.5 38.6
78.7 40.4
71 33.4
65.5 50.7
89.3 -1.4
68.5 65.2
60.6 30.4
35.8 105.9
64.1 72.8

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 144.2 on the response variable.

What is the predicted explanatory value?
x = 

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