Using the same NBA data described in Question 1(T=-5.1088, RANDOM SAMPLE=180, sample correlation coefficient between Field Goal % and Free Throw % was calculated to be -0.3576.), a simple linear regression model was fit with Free Throw % as the response variable and Field Goal % as the explanatory variable.The coefficient estimates and their associated standard errors are displayed in the table below.Based on the output, what is the 95% confidence interval estimate of the population slope?

Coefficients Standard Error

Intercept1.0606 0.0584

Field Goal %-0.6578 0.1280

Select one:

a.

(-0.9104,-0.4052)

b.

(-0.9088,-0.4069)

c.

(-0.6765, -0.6391)

d.

(-0.7730, -0.5426)

A new recruit to the NBA has a Field Goal % of 0.506.Using the output in Question 2, what is a 95% prediction interval of this player's Free Throw%?

(Note the sample mean of the variable Field Goal % is 0.4531 and the sample standard deviation is 0.0535.The standard error of the estimate of the simple linear regression model is).

Select one:

a.

(0.5449,0.9107)

b.

(0.7087, 0.7469)

c.

(0.5208, 0.9348)

d.

(0.7061,0.7495)