Run a regression analysis on the following bivariate set of data with y as the response variable. x y 59.4 32.5 51.8 -88.9 114.7 180 67 16.7 81.1 86.7 49.3 -3.4 90.6 106.3 35.2 -22.3 52.4 -8.3 40.2 -21.7 65 69.7 66.1 41.4 65.3 -28.9 100.3 151.8 67.2 -12.1 87.4 69.9 73.7 86.4 68.8 63.3 58.5 24.8 66.6 25.6

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
59.4 32.5
51.8 -88.9
114.7 180
67 16.7
81.1 86.7
49.3 -3.4
90.6 106.3
35.2 -22.3
52.4 -8.3
40.2 -21.7
65 69.7
66.1 41.4
65.3 -28.9
100.3 151.8
67.2 -12.1
87.4 69.9
73.7 86.4
68.8 63.3
58.5 24.8
66.6 25.6

Verify that the correlation is significant at an α=0.05. If the correlation is indeed significant, predict what value (on average) for the explanatory variable will give you a value of -74.3 on the response variable.

What is the predicted explanatory value?
x = 

(Report answer accurate to one decimal place.)

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