Round to the nearest 2nd decimal place (nearest hundredth) when possible. Use = 0.05 significance level where needed. 1. Say a regression equation if fit to data, and the correlation coefficient estimate ,R ,between X and Y is 0.5. State if true or false. a. The slope of the regression line is 0.5. b. The regression model with X explains 50% of the variation in Y , c. 25% of the variation in Y is explained by X. d. 50% of the variation in Y is explained by X. e. X is positively associated with Y . f. Even if X and Y have a non linear relationship, the value of 0.5 can be used to measure the association between X and Y. 2. Suppose a simple linear model is fit to predict Y = weight in kilograms using X= height in centimeters of an adult. But say a new simple linear model is fit using Y = height in centimeters and X= weight in kilograms (that is to say Y and X have reversed). State whether each of the following would be the same for this new model as it was for the original model, or it would be different and explain in a sentence or two. a. The value of R. b. The value of R2 . c. The estimate of 1