x y 29.3 65.7 36.8 90 61.2 89 60.4 95.4 30.1 62.2 28.6 49.3 53.6 83.3 47.8 93.5 32.8 80.5 28.2 78 51.7 100.6 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 84.9 on

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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Question

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

x y
29.3 65.7
36.8 90
61.2 89
60.4 95.4
30.1 62.2
28.6 49.3
53.6 83.3
47.8 93.5
32.8 80.5
28.2 78
51.7 100.6

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 84.9 on the response variable.

What is the predicted explanatory value?
x = 

(Report answer accurate to one decimal place.)

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