Monica delivers pizza. A scatter plot of a sample of her tip amounts and the order amounts (without the tip) is shown below. scatter.png The average order amount is $23.31 with an SD of $8.96. The average tip amount is $3.62 with an SD of $2.06. The correlation coefficient is 0.51. 1. What is the slope of the regression line? 2. What is the intercept of the regression line? 3. What is the best interpretation of the intercept? 4. Monica randomly chooses an order and the amount is $30. According to regression, what tip should she expect? 5. For a $40 order, the regression line predicts that Monica will get a tip of $5.62. If Monica receives a $5 tip on that order, what is the residual? 6. Is it appropriate to use the r.m.s. error to put a give-or-take number on the answer to question 4