Statistics - SPSS Projects

A shoe retailer conducted a study to determine whether there is a difference in the number of pairs of

A shoe retailer conducted a study to determine whether there is a difference in the number of pairs of shoes sold per day by stores according to the number of competitors within a 1-mile radius and the location of the store. The company researchers selected three types of stores for consideration in the study: stand-alone suburban stores, mall stores, and downtown stores. These stores vary in the numbers of competing stores within a 1-mile radius, which have been reduced to four categories: 0 competitors, 1 competitor, 2 competitors, and 3 or more competitors. Suppose the following data represent the number of pairs of shoes sold per day for each of these types of stores with the given number of competitors. Use α = 0.05 and analyze the data.

		Number of Competitors
		0	1	2	3 or more
	Stand-Alone	41	38	59	47
		30	31	48	40
		45	39	51	39
Store	Mall	25	29	44	43
Location		31	35	48	42
		22	30	50	53
	Downtown	18	22	29	24
		29	17	28	27
		33	25	26	32

Are some unskilled office jobs viewed as having more status than others? Suppose a study is conducted in which eight unskilled, unemployed people are interviewed. The people are asked to rate each of the five positions on a scale from 1 to 10 to indicate the status of the position, with 10 denoting most status and 1 denoting least status. The resulting data are given here. Use α = 0.05 and analyze the data.

	Job
Respondent	Mail Clerk	Typist	Receptionist	Secretary	Telephone Operator
1	4	5	3	7	6
2	2	4	4	5	4
3	3	3	2	6	7
4	4	4	4	5	4
5	3	5	1	3	5
6	3	4	2	7	7
7	2	2	2	4	4
8	3	4	3	6	6

A company sets different prices for a pool table 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	Price
420	5.5
380	6.0
350	6.5
400	6.0
440	5.0
380	6.5
450	4.5
420	5.0

Plot these data, and estimate the linear regression to express sales in terms of price.
What effect would you expect a $150 increase in price to have on sales? Please provide a number as your answer.

BZ Mining, Inc., has five large pumps that pump water from the mines it operates. Management has been concerned lately about the amount of money required to repair malfunctioning pumps. These costs are sums over and above the amounts spent for routine maintenance. To get a better idea of the relationship between these costs and other factors connected with the pumps, the operations superintendent wants to run a regression analysis relating the variables shown in the accompanying table. Find the predicted mean monthly repair cost for a pump of this type that averaged 20 hours of operation per week and was 10 months old at the first of the year.

Mean Monthly Repair Costs over Past Year ($)	Mean Weekly Hours of Operation over Past Year	Age of Pump at First of Year (months)
643	28	80
613	26	48
494	15	27
250	15	2
400	16	13

The chief executive officer for Floor Covering Mills, Inc., wants to develop a regression model to predict the monthly profit of the company (in thousands of dollars) from the units of the product that the firm produces (in thousands of units). Data were collected for 15 months when the production level was varied and are presented in the accompanying table. Apparently, if the production level is too high, the amount of inventory increases and the profits decrease.

Profit	Production
3.5	0.0
24.4	0.5
36.1	1.0
26.5	1.5
30.6	2.0
39.3	2.5
55.6	3.0
56.6	3.5
64.8	4.0
63.4	4.5
57.8	5.0
55.2	5.5
54.9	6.0
59.6	6.5
62.7	7.0

Find the estimated regression equation. Which type of regression model did you use?
Predict the profit level for a production level of 5000 (5.0 in our units).
Plot the estimated profit equation, and from the plot, determine the production level that maximizes profit.

Price: $22.78

Solution: The downloadable solution consists of 11 pages, 1178 words and 8 charts.
Deliverable: Word Document