All Greens is a franchise store that sells house plants and lawn and garden supplies. Although All Greens is a franchise, each store is owned and managed by private Sh individuals. Some friends have asked you to go into business with them to open a new All Greens store in the suburbs of San Diego. The national franchise headquarters sent 8. you the following information at your request. These data are about 27 All Greens stores in California. Each of the 27 stores has been doing very well, and you would like to use the information to help set up your own new store. The variables for which we have data are detailed below. X1 = annual net sales, in thousands of dollars = number of square feet of floor display in store, in thousands of square feet X2 = value of store inventory, in thousands of dollars Sh 1.1 Хз X4 = amount spent on local advertising, in thousands of dollars X5 = size of sales district, in thousands of families X6 = number of competing or similar stores in sales district A sales district was defined to be the region within a 5 mile radius of an All Greens store. X2 Xз 294 X4 X5 8.2 231 3 8.2 11 156 2.2 232 6.9 4.1 12 10 0.5 149 3 4.3 15 519 5.5 600 12 16.1 Sh 7.5 437 4.4 567 10.6 14.1 487 4.8 571 11.8 12.7 4 299 3.1 512 8.1 10.1 10 195 2.5 347 7.7 8.4 12 20 1.2 212 3.3 2.1 15 68 0.6 102 4.9 4.7 570 5.4 788 17.4 12.3 1 Sh 3.5 428 4.2 577 10.5 14.0 464 4.7 535 11.3 15.0 3 15 0.6 163 2.5 2.5 14 65 1.2 168 4.7 3.3 11 98 1.6 151 4.6 2.7 10 398 4.3 342 5.5 16.0 4 161 2.6 196 7.2 6.3 13 Sh 9.3 397 3.8 453 10.4 13.9 497 5.3 518 11.5 16.3 528 12.3 615 278 16.0 6.5 5.6 99 0.8 2.8 14 0.5 1.1 142 3.1 1.6 12 347 3.6 461 9.6 11.3 341 3.5 382 9.8 11.5 5 Бh 6.0 507 5.1 590 12.0 15.7 400 8.6 517 7.0 12.0 8.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 11CYU
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Question

(a) Generate summary statistics, including the mean and standard deviation of each variable. Compute the coefficient of variation for each variable. (Use 2 decimal places.)

  x s CV
x1     %
x2     %
x3     %
x4     %
x5     %
x6     %

(b) For each pair of variables, generate the correlation coefficient r. For all pairs involving x1, compute the corresponding coefficient of determination r2. (Use 3 decimal places.)

  r r2
x1, x2    
x1, x3    
x1, x4    
x1, x5    
x1, x6    
x2, x3  
x2, x4  
x2, x5  
x2, x6  
x3, x4  
x3, x5  
x3, x6  
x4, x5  
x4, x6  
x5, x6  
All Greens is a franchise store that sells house plants and lawn and garden supplies. Although All Greens is a franchise, each store is owned and managed by private
Sh
individuals. Some friends have asked you to go into business with them to open a new All Greens store in the suburbs of San Diego. The national franchise headquarters sent
8.
you the following information at your request. These data are about 27 All Greens stores in California. Each of the 27 stores has been doing very well, and you would like to
use the information to help set up your own new store. The variables for which we have data are detailed below.
X1
= annual net sales, in thousands of dollars
= number of square feet of floor display in store, in thousands of square feet
X2
= value of store inventory, in thousands of dollars
Sh
1.1
Хз
X4 = amount spent on local advertising, in thousands of dollars
X5
= size of sales district, in thousands of families
X6 = number of competing or similar stores in sales district
A sales district was defined to be the region within a 5 mile radius of an All Greens store.
X2
Xз
294
X4
X5
8.2
231
3
8.2
11
156
2.2
232
6.9
4.1
12
10
0.5
149
3
4.3
15
519
5.5
600
12
16.1
Sh
7.5
437
4.4
567
10.6
14.1
487
4.8
571
11.8
12.7
4
299
3.1
512
8.1
10.1
10
195
2.5
347
7.7
8.4
12
20
1.2
212
3.3
2.1
15
68
0.6
102
4.9
4.7
570
5.4
788
17.4
12.3
1
Sh
3.5
428
4.2
577
10.5
14.0
464
4.7
535
11.3
15.0
3
15
0.6
163
2.5
2.5
14
65
1.2
168
4.7
3.3
11
98
1.6
151
4.6
2.7
10
398
4.3
342
5.5
16.0
4
161
2.6
196
7.2
6.3
13
Sh
9.3
397
3.8
453
10.4
13.9
497
5.3
518
11.5
16.3
528
12.3
615
278
16.0
6.5
5.6
99
0.8
2.8
14
0.5
1.1
142
3.1
1.6
12
347
3.6
461
9.6
11.3
341
3.5
382
9.8
11.5
5
Бh
6.0
507
5.1
590
12.0
15.7
400
8.6
517
7.0
12.0
8.
Transcribed Image Text:All Greens is a franchise store that sells house plants and lawn and garden supplies. Although All Greens is a franchise, each store is owned and managed by private Sh individuals. Some friends have asked you to go into business with them to open a new All Greens store in the suburbs of San Diego. The national franchise headquarters sent 8. you the following information at your request. These data are about 27 All Greens stores in California. Each of the 27 stores has been doing very well, and you would like to use the information to help set up your own new store. The variables for which we have data are detailed below. X1 = annual net sales, in thousands of dollars = number of square feet of floor display in store, in thousands of square feet X2 = value of store inventory, in thousands of dollars Sh 1.1 Хз X4 = amount spent on local advertising, in thousands of dollars X5 = size of sales district, in thousands of families X6 = number of competing or similar stores in sales district A sales district was defined to be the region within a 5 mile radius of an All Greens store. X2 Xз 294 X4 X5 8.2 231 3 8.2 11 156 2.2 232 6.9 4.1 12 10 0.5 149 3 4.3 15 519 5.5 600 12 16.1 Sh 7.5 437 4.4 567 10.6 14.1 487 4.8 571 11.8 12.7 4 299 3.1 512 8.1 10.1 10 195 2.5 347 7.7 8.4 12 20 1.2 212 3.3 2.1 15 68 0.6 102 4.9 4.7 570 5.4 788 17.4 12.3 1 Sh 3.5 428 4.2 577 10.5 14.0 464 4.7 535 11.3 15.0 3 15 0.6 163 2.5 2.5 14 65 1.2 168 4.7 3.3 11 98 1.6 151 4.6 2.7 10 398 4.3 342 5.5 16.0 4 161 2.6 196 7.2 6.3 13 Sh 9.3 397 3.8 453 10.4 13.9 497 5.3 518 11.5 16.3 528 12.3 615 278 16.0 6.5 5.6 99 0.8 2.8 14 0.5 1.1 142 3.1 1.6 12 347 3.6 461 9.6 11.3 341 3.5 382 9.8 11.5 5 Бh 6.0 507 5.1 590 12.0 15.7 400 8.6 517 7.0 12.0 8.
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