Data for two variables,xandy, follow.

X1	22	24	25	28	41
Y1	12	23	31	36	69

a.Develop the estimated regression equation for these data (to 2 decimals). Enter negative value as negative number.

y = .......... + ............. z

b.Compute the standardized residuals for these data (to 2 decimals). Do not round your intermediate calculations. Enter negative value as negative number.

X1	Y1	Standardized Residual
22	12
24	23
25	31
28	36
41	69

The owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross revenue (y) as a function of television advertising (X1) and newspaper advertising (X2). Values of y, x1, and x2 are expressed in thousands of dollars.

Weekly Gross	Television	Newspaper
Revenue	Advertising	Advertising
($1000s)	( $1,000s)	( $1,000s)
96	5.0	1.5
90	2.0	2.0
95	4.0	1.5
92	2.5	2.5
95	3.0	3.3
94	3.5	2.3
94	2.5	4.2
94	3.0	2.5

The estimated regression equation was y= 83.23 + 2.29x1 + 1.30x2

a. What is the gross revenue expected for a week where $3,500 is spent on television (X1 = 3.5) and $1,800 is spent on newspaper advertising (to 3 decimals)?

$ thousand

b. Provide a 95% prediction interval for next week's revenue, assuming that the advertising expenditures will be allocated as in part (a) (to 2 decimals).

( $............. thousand, $.................. thousand)