In the 1980 's environmental researchers did a study to analyze how an automobile's weight (thousands of pounds) and horsepower (in hundreds) affect fuel economy (miles per gallon). Data from the study is shown in the table below. Use this information to analyze the data and answer the following questions. What is the correlation ( r ) between HP and MPG? (round to 2 decimals) What is the correlation ( r ) betwen WGT and MPG? (round to 2 decimals) What is the correlation ( r ) betwen HP and WGT? (round to 2 decimals) How much of the variation in MPG is explained by a regression model that includes both HP and WGT (R-sqr)? (round to 2 decimals) What is the Adjusted R-squared value (adjusted to account for correlation between the independent variables)? (round to 2 decimals) At what level is the multiple regression statistically significant (Sig.F)? (round to 2 decimals) What is the coefficient of horsepower (HP) in the regression equation? (round to 2 decimals) What is the coefficient of weight (Wgt) in the regression equation? (round to 2 What is the intercept in the multiple regression equation? (round to 2 decimals) If a new model comes out that weighs 2.500 thousand pounds, with 1.50 hundred horsepower, what would the predicted miles per gallon be? (round to just 1 decimal) How far off, on average, would you expect this estimate to be (std error)? (round to 2 decimals)