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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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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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