1. The following sample observations were randomly selected: ( Round the final answers to 4 decimal places.)

x:	6	9	15	6	20	10	14	14
y:	17	14	5	12	23	7	16	24

a. Determine the 95% confidence interval for the mean predicted when x=5

[ ------- + ------ ]

b. Determine the 95% prediction interval for an individual predicted when x= 5

[ ------- + ------ ]

2. The following sample observations were randomly selected:

x:	13	18	9	20	14	16	14	9
y:	2	6	8	7	8	6	1	15

a. Determine the coefficient of correlation? ( negative answers should be indicated by a minus and round the final answer to 2 decimal places)

b. Determine the coefficient of determination? ( Round the final answers to 4 decimal places.)

3. A study of 28 worldwide financial institutions showed the correlation between their assets and pretax profit to be 0.84. At the 0.01 significance level, can we conclude that there is positive correlation in the population? ( Round the final answers to 3 decimal places.)

H₀ : p 0

H₁ : p> 0

Reject H₀ if t > 2.479

t= ------