Run a regression analysis on the following bivariate set of data with y as the response variable.
x y
43.7 122.8
24.8 40.8
-4.5 33.9
9 -40.3
58.7 203.4
18.4 -61.1
-3.1 -48.3
-1 -90.9
43.2 75
-17.8 -164.8
Find the correlation coefficient and report it accurate to three decimal places.
r =
What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a 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.)
r² = %
Based on the data, calculate the regression line (each value to three decimal places)
y = x +
Predict what value (on average) for the response variable will be obtained from a value of -0.3 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? (Report answer accurate to one decimal place.)
y =