Run a regression analysis on the following bivariate set of data with y as the response variable. x y 49.4 59.2 46.7 59.9 58.4 70.3 58.9 66 51.2 66.6 52.1 78.2 50.7 58.5 59 70.9 47.2 58.1 48.7 60.2 38 55.7 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 77.3 on the response variable.

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
49.4 59.2
46.7 59.9
58.4 70.3
58.9 66
51.2 66.6
52.1 78.2
50.7 58.5
59 70.9
47.2 58.1
48.7 60.2
38 55.7

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 77.3 on the response variable.

What is the predicted explanatory value?
x = 

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