Stereo

A company sets different prices for a particular stereo system in eight different regions of the country. The accompanying table shows the numbers of units sold and the corresponding prices (in hundreds of dollars).

SALES	420	380	350	400	440	380	450	420
PRICE	5.5	6.0	6.5	6.0	5.0	6.5	4.5	5.0

Shelf Space:

The marketing manager of a large supermarket chain would like to determine the effect of shelf space on the sales of pet food. A random sample of 12 equal-sized stores are selected with the following results:

STORE	SHELF SPACE, X (FEET)	WEEKLY SALES, Y (HUNDREDS OF DOLLARS)	STORE	SHELF SPACE, X (FEET)	WEEKLY SALES, Y(HUNDREDS OF DOLLARS)
1	5	1.6	7	15	2.3
2	5	2.2	8	15	2.7
3	5	1.4	9	15	2.8
4	10	1.9	10	20	2.6
5	10	2.4	11	20	2.9
6	10	2.6	12	20	3.1

Home Video

A company that has the distribution rights to home video sales of previously released movies would like to be able to estimate the number of units that it can be expected to sell. Data are available for 30 movies that indicate the box office gross (in millions of dollars) and the number of units sold (in thousands) of home videos. The results are as follows:

MOVIE	BOX OFFICE GROSS ($ MILLIONS)	HOME VIDEO UNITS SOLD	MOVIE	BOX OFFICE GROSS ($ MILLIONS)	HOME VIDEO UNITS SOLD
1	1.10	57.18	16	9.36	190.80
2	1.13	26.17	17	9.89	121.57
3	1.18	92.79	18	12.66	183.30
4	1.25	61.60	19	15.35	204.72
5	1.44	46.50	20	17.55	112.47
6	1.53	85.06	21	17.91	162.95
7	1.53	103.52	22	18.25	109.20
8	1.69	30.88	23	23.13	280.79
9	1.74	49.29	24	27.62	229.51
10	1.77	24.14	25	37.09	277.68
11	2.42	115.31	26	40.73	226.73
12	5.34	87.04	27	45.55	365.14
13	5.70	128.45	28	46.62	218.64
14	6.43	126.64	29	54.70	286.31
15	8.59	107.28	30	58.51	254.58

QUESTION 1:

Home Video: Run a regression. What is the incremental increase in video units sold that we expect to see in response to every $1 million in box office gross?

a.4.33

b.76.53

c.7,000

d.1856

QUESTION 2:

Which of the following is corrrect?

a.For every additional foot of shelf space, we expect to see an increase in sales of $7.40 (in other words, 0.0740 * $100).

b.For every additional foot of shelf space, we expect to see a decrease in sales of $7.40 (in other words, -0.0740 * $100).

c.For every additional foot of shelf space, we expect to see a decrease in sales of $68.40 (in other words, -0.684 * $100).

d.For every additional foot of shelf space, we expect to see an increase in sales of $68.40 (in other words, 0.684 * $100).

QUESTION 3:

Stereo: Using the SPSS file assigned to this quiz, run a regression. What is the p value for the overall regression?

a..001

b..051

c..000

d.1.00

DATA SET SPSS:

SALES	PRICE	Shelf_Space	Weekly_Sales_Hundreds_of_Dollars	Box_Office_Gross	Home_Video_Units_Sold
420.00	5.50	5.00	1.60	1.10	57.18
380.00	6.00	5.00	2.20	1.13	26.17
350.00	6.50	5.00	1.40	1.18	92.79
400.00	6.00	10.00	1.90	1.25	61.60
440.00	5.00	10.00	2.40	1.44	46.50
380.00	6.50	10.00	2.60	1.53	85.06
450.00	4.50	15.00	2.30	1.53	103.52
420.00	5.00	15.00	2.70	1.69	30.88
#NULL!	#NULL!	15.00	2.80	1.74	49.29
#NULL!	#NULL!	20.00	2.60	1.77	24.14
#NULL!	#NULL!	20.00	2.90	2.42	115.31
#NULL!	#NULL!	20.00	3.10	5.34	87.04
#NULL!	#NULL!	#NULL!	#NULL!	5.70	128.45
#NULL!	#NULL!	#NULL!	#NULL!	6.43	126.64
#NULL!	#NULL!	#NULL!	#NULL!	8.59	107.28
#NULL!	#NULL!	#NULL!	#NULL!	9.36	190.80
#NULL!	#NULL!	#NULL!	#NULL!	9.89	121.57
#NULL!	#NULL!	#NULL!	#NULL!	12.66	183.30
#NULL!	#NULL!	#NULL!	#NULL!	15.35	204.72
#NULL!	#NULL!	#NULL!	#NULL!	17.55	112.47
#NULL!	#NULL!	#NULL!	#NULL!	17.91	162.95
#NULL!	#NULL!	#NULL!	#NULL!	18.25	109.20
#NULL!	#NULL!	#NULL!	#NULL!	23.13	280.79
#NULL!	#NULL!	#NULL!	#NULL!	27.62	229.51
#NULL!	#NULL!	#NULL!	#NULL!	37.09	277.68
#NULL!	#NULL!	#NULL!	#NULL!	40.73	226.73
#NULL!	#NULL!	#NULL!	#NULL!	45.55	365.14
#NULL!	#NULL!	#NULL!	#NULL!	46.62	218.64
#NULL!	#NULL!	#NULL!	#NULL!	54.70	286.31
#NULL!	#NULL!	#NULL!	#NULL!	58.51	254.58