Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information.

x	67	64	75	86	73	73
y	44	41	48	51	44	51

(a) Find x, y, x², y², xy, and r. (Round r to three decimal places.)

x =
y =
x2 =
y2 =
xy =
r =

(b) Use a 5% level of significance to test the claim that > 0. (Round your answers to two decimal places.)

t =
critical t =

(c) Find S_e, a, b, and x. (Round your answers to four decimal places.)

Se =
a =
b =
x =

(d) Find the predicted percentage of successful field goals for a player with x = 85% successful free throws. (Round your answer to two decimal places.) % (e) Find a 90% confidence interval for y when x = 85. (Round your answers to one decimal place.)

lower limit	%
upper limit	%

(f) Use a 5% level of significance to test the claim that > 0. (Round your answers to two decimal places.)

t =
critical t =