## Question

###### Run a regression analysis on the following bivariate set of data_with y as the response variable_111.6 91.4 83_ 76.4 85.4 69.6 72.8 48.7 93 . 124.4 89.8 113.11642 . 96 _ 46 . 89 . 52 119.4 36.4 53_ 50. 23_Find the correlation coefficient and report it accurate to three decimal places_What proportion of the variation in y can be explained by the variation in the values of x? Report answer as percentage accurate to one decimal place. (If the answer is 0.84471, then it would be 84.5% . you would e

Run a regression analysis on the following bivariate set of data_with y as the response variable_ 111.6 91.4 83_ 76.4 85.4 69.6 72.8 48.7 93 . 124.4 89.8 113.1 16 42 . 96 _ 46 . 89 . 52 119.4 36.4 53_ 50. 23_ Find the correlation coefficient and report it accurate to three decimal places_ What proportion of the variation in y can be explained by the variation in the values of x? Report answer as percentage accurate to one decimal place. (If the answer is 0.84471, then it would be 84.5% . you would enter 84.5 without the percent symbol ) Based on the data, calculate the regression line (each value to three decimal places) Predict what value (on average) for the response variable will be obtained from a value of 117.6 as the explanatory variable Use significance level of & 0.05 to assess the strength of the linear correlation: What is the predicted response value? (Report answer accurate to one decimal place.