Question
In: Statistics and Probability
Run a regression analysis on the following bivariate set of data with y as the response...
Run a regression analysis on the following bivariate set of data with y as the response variable. x y 26.1 54.3 28.4 42.5 33.8 50.2 63.4 63.3 64.3 79.4 72.5 76.1 46.2 57.4 70.2 82.1 50.5 64.3 55.4 58.8 40.7 48.5 69.4 57.5 40.4 47.8 45.1 60 64 72.5 50.6 56.9 44.2 65.6 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 59.2 on the response variable. What is the predicted explanatory value? x = Incorrect (Report answer accurate to one decimal place.)
Solutions
Expert Solution
(1) From the given data
Test for Correlation Coefficient:
H0: There is no relation between X and Y
H1: There is relation between X and Y
Thus we conclude that there exist relation between X and Y
Regression equation:
Given X = 59.2
Y-hat = 29.779 + 0.614*59.2 = 66.1
The predicted explanatory value of Y is 66.1
orchestra answered 1 year agoRelated Solutions
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