1. 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. No. of releases (x) 361 270 306 22 35 10 8 12 21 Gross receipts (y) (million $)| 3844 1962 1371 1064 334 241 188 154 125 (a) Based on these data, can it be concluded that there is a linear relationship between the number of releases and the gross receipts? (b) Find y' when x (c) Find the 95% prediction interval when x = 200 new releases = 200 new releases

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1. 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.
No. of releases (x)
361 270 306 22 35 10 8 12 21
Gross receipts (y) (million $)| 3844 1962 1371 1064 334 241 188 154 125
(a) Based on these data, can it be concluded that there is a linear relationship between
the number of releases and the gross receipts?
(b) Find y' when x = 200 new releases
(c) Find the 95% prediction interval when x = 200 new releases
2. An economics student wishes to see if there is a relationship between the amount of state
debt per capita and the amount of tax per capita at the state level.
Per capita debt (x) 1924 907 1445 1608 661
Per capita tax (y) 1685 1838 1734 1842 1317
(a) Based on the data, can they conclude that per capita state debt and per capita
state taxes are related? Both amounts are in dollars and represent five randomly
selected states.
(b) Find y' when x = $1500 in per capita debt
(c) Find the 90% prediction interval when x = $1500 in per capita debt
Transcribed Image Text:1. 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. No. of releases (x) 361 270 306 22 35 10 8 12 21 Gross receipts (y) (million $)| 3844 1962 1371 1064 334 241 188 154 125 (a) Based on these data, can it be concluded that there is a linear relationship between the number of releases and the gross receipts? (b) Find y' when x = 200 new releases (c) Find the 95% prediction interval when x = 200 new releases 2. An economics student wishes to see if there is a relationship between the amount of state debt per capita and the amount of tax per capita at the state level. Per capita debt (x) 1924 907 1445 1608 661 Per capita tax (y) 1685 1838 1734 1842 1317 (a) Based on the data, can they conclude that per capita state debt and per capita state taxes are related? Both amounts are in dollars and represent five randomly selected states. (b) Find y' when x = $1500 in per capita debt (c) Find the 90% prediction interval when x = $1500 in per capita debt
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