The amounts of 6 restaurant bills and the corresponding amounts of the tips are given in the below. Assume that bill amount is the explanatory variable and tip amount the response variable. $$\begin{array}{c|cccccc} \mbox{Bill} & 49.72 & 106.27 & 88.01 & 70.29 & 43.58 & 64.30 \cr \mbox{Tip} & 5.28 & 16.00 & 10.00 & 10.00 & 5.50 & 7.70 \cr \end{array}$$

(a) Find the correlation: $r =$

(b) Does there appear to be a significant correlation?

A. No
B. Yes

(c) The regression equation is $\hat{y}=$ .

(d) If the amount of the bill is $$85,$ the best prediction for the amount of the tip is .
Note: Enter your answer in dollars: $ xx.xx

(e) According to the regression equation, for every $$5$ increase in the bill, the tip should (Enter INCREASE or DECREASE) by .