1. Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams.

Team Games won Battling average

1 73 260

2 112 273

3 82 274

4 107 280

5 80 286

6 72 274

7 113 288

8 66 287

Using games won as the explanatory variable, do the following:

(a) The correlation coefficient isr =

(b) The equation of the least squares line is=

2. Heights (in centimeters) and weights (in kilograms) of7 supermodels are given below. Find the regression equation, letting the first variable be the independent(x)variable, and predict the weight of a supermodel who is175cm tall.

Height 176 166 172 176 176 168 178

Weight 56 47 52 55 54 50 58

The regression equation isy=_____+ _____x.The best predicted weight of a supermodel who is175cm tall is__________.

3. For the data set

(2,3),(1,0),(6,4),(7,7),(9,8),

find interval estimates (at a 99.5% significance level) for single values and for the mean value ofycorresponding tox=1.

Note:For each part below, your answer should use interval notation.

Interval Estimate for Single Value =

Interval Estimate for Mean Value =