a. Based on the data shown below, calculate the regression line (each value to two decimal places)

y = x +

x y

5 29.7

6 28.78

7 27.06

8 25.34

9 22.92

10 20.9

11 19.68

12 17.86

13 13.74

14 13.82

15 12.4

16 10.48

17 6.56

18 5.94

19 3.12

20 3.6

b. A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).

The results of the regression were:

y=ax+b

a=-0.759

b=33.61

r2=0.603729

r=-0.777

Use this to predict the number of situps a person who watches 1.5 hours of TV can do

c. A certain disease has an incidence rate of 0.5%. If the false negative rate is 5% and the false positive rate is 2%, compute the probability that a person who tests positive actually has the disease.

d. The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.5 and 50.7 min.

P(50.5 < X < 50.7) =

e. For a standard normal distribution, find:

P(0.08 < z < 0.37)

f. For a standard normal distribution, find:

P(z < -2.78)

For a standard normal distribution, given:

P(z < c) = 0.3295

Find c.