23.-174 points BBUnderStat12 9.4.006. My Notes Ask Your Teacher All Greens is a
ID: 3351365 • Letter: 2
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23.-174 points BBUnderStat12 9.4.006. My Notes Ask Your Teacher 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 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 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 x2number of square feet of floor display in store, in thousands of square feet x3 = value of store inventory, in thousands of dollars amount spent on local advertising, in thousands of dollars X5 = size of sales district, in thousands of families x6number 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 231 156 10 519 437 487 299 195 20 68 570 428 464 15 65 98 398 161 397 497 528 294 232 149 600 567 571 512 347 212 102 788 577 535 163 168 151 342 196 453 518 615 278 8.2 6.9 12 15 12 10.6 11.8 16.1 14.1 12.7 10.1 4 7.7 3.3 4.9 17.4 10.5 11.3 2.5 4.7 4.6 12 15 8 0.6 12.3 14.0 15.0 4.7 0.6 14 10 4 13 16.0 7.2 10.4 11.5 12.3 2.8 13.9 16.3 16.0 6.5 5.6 0Explanation / Answer
a] By using MINITAB ,
Descriptive Statistics: x1, x2, x3, x4, x5, x6
Variable N Mean(Xbar) StDev(s) CoefVar(CV)
x1 27 286.6 192.1 67.02
x2 27 3.326 2.011 60.47
x3 27 387.5 191.2 49.34
x4 27 8.100 3.775 46.60
x5 27 9.693 5.140 53.03
x6 27 7.741 4.896 63.25
b] Correlation coefficient (r) and r^2
Correlation: x1, x2, x3, x4, x5, x6
x1 x2 x3 x4 x5
x2 0.894
x3 0.946 0.844
x4 0.914 0.749 0.906
x5 0.954 0.838 0.864 0.795
x6 -0.912 -0.766 -0.807 -0.841 -0.870
pair r r^2
(x1,x2) 0.894 0.799
(x1,x3) 0.946 0.895
(x1,x4) 0.914 0.835
(x1,x5) 0.954 0.910
(x1,x6) -0.912 -0.832
(x2,x3) 0.844 0.712
(x2,x4) 0.749 0.561
(x2,x5) 0.838 0.702
(x2,x6) -0.766 -0.587
(x3,x4) 0.906 0.821
(x3,x5) 0.864 0.746
(x3,x6) -0.807 -0.651
(x4,x5) 0.795 0.632
(x4,x6) -0.841 -0.707
(x5,x6) -0.870 -0.757
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