Question

Commercial Movie Releases The yearly data have been published showing the number of releases for each of the commercial movie studios and the gross receipts for those studios thus far. The regression line equation for the data is

=y′+271.5964.775x

. The standard error of the estimate is

=sest384.6455

. Find the

90%

prediction interval when

=x175

new releases. Round your answers to two decimal places as needed.

No. of releases x	8	10	306	22	270	35	21	12
Gross receipts y (million   $ )	188	241	1371	1064	1962	334	125	154

Answer 1

X :- No. of releases

Y :- Gross receipts

ΣX = 684
ΣY = 5439
ΣX * Y = 992751
ΣX2 = 168994
ΣY2 = 7105503

Equation of regression line becomes Ŷ = 271.596 + 4.775 X

Predictive Confidence Interval of
Ŷ = 271.5957 + 4.7752 X
Ŷ = 1107.221

t(α/2) = t(0.1/2) =1.943
90% confidence interval is ( 289.34   < < 1,925.17   ).