Run a regression analysis on the following bivariate set of data with y as the response variable. x y -9.7 -66.2 5.6 28.3 -4.5 11.9 35.6 94.9 15.7 21.1 30.8 86.3 48.7 127.9 13 57.3 35.3 109 23.6 32.4 58 166.3 28.1 64.4 19.1 51.5 25.6 53.3 46.1 186.4 43.5 128 Predict what value (on average) for the response variable will be obtained from a value of 14.8 as the explanatory variable. Use a significance level of α=0.05 to assess the strength of the linear correlation. What is the predicted response value? y =

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

x y
-9.7 -66.2
5.6 28.3
-4.5 11.9
35.6 94.9
15.7 21.1
30.8 86.3
48.7 127.9
13 57.3
35.3 109
23.6 32.4
58 166.3
28.1 64.4
19.1 51.5
25.6 53.3
46.1 186.4
43.5 128

Predict what value (on average) for the response variable will be obtained from a value of 14.8 as the explanatory variable. Use a significance level of α=0.05 to assess the strength of the linear correlation.

What is the predicted response value?
y =

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