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.

x68,63,75,86,73,73

y45,42,48,51,44,51

(a) Verify that x = 438, y = 281, x² = 32272, y² = 13231, xy = 20627, and r 0.785.

x

y=

x²⁼

y²⁼

xy=

r=

B.Use a 5% level of significance to test the claim that > 0. (Use 2 decimal places.)

t=

critical t=

C.Verify that S_e 2.6088, a 18.907, b 0.3826, and x 73.000.

S_e=

_a=

_b=

x=

D.Find the predicted percentageof successful field goals for a player withx=81%successful free throws. (Use 2 decimal places.)

E.Find a 99% confidence interval for y when x = 81. (Use 1 decimal place.)

Lower limit=

Upper limit=

F.Use a 5% level of significance to test the claim that > 0. (Use 2 decimal places.)

t=

critical t=

G.Find a 99% confidence interval for and interpret its meaning. (Use 3 decimal places.)

Lower limit=

Upper limit=