Run a regression analysis on the following bivariate set of data with y as the response variable. x y 34.4 51.4 21.3 55.8 42.1 45.1 46 44.3 16.6 64 45.5 45.9 41.8 38.8 20.8 56.6 27.6 52.9 12 66.2 35.6 52.4 21.6 57.4 Predict what value (on average) for the response variable will be obtained from a value of 36.9 as the explanatory variable. Use a significance level of α=0.05α=0.05 to assess the strength of the linear correlation. What is the predicted response value? y =  (Report answer accurate to one decimal place.)

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 23PFA
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Run a regression analysis on the following bivariate set of data with y as the response variable.

x y
34.4 51.4
21.3 55.8
42.1 45.1
46 44.3
16.6 64
45.5 45.9
41.8 38.8
20.8 56.6
27.6 52.9
12 66.2
35.6 52.4
21.6 57.4

Predict what value (on average) for the response variable will be obtained from a value of 36.9 as the explanatory variable. Use a significance level of α=0.05α=0.05 to assess the strength of the linear correlation.

What is the predicted response value?
y = 

(Report answer accurate to one decimal place.)

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