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PLEASE DO QUESTION #2, IGNORE QUESTION 1

Consider the following information for Questions #1 and #2: Topco, Inc., a manufacturer of self-propelled lawn mowers, wants to learn more about differences between residential lawn mower buyers. The market research department of Topco believes that customers differ in terms of the importance that they attach to the following two lawn mower feotures (1) that the lawn mower allows for bagging (of grass clippings), and (2) that the lawn mower offers rear wheel drive (best for lawns with bumps and slopes). A sample of five representative Topco lawn mower customers reveals the following set of preferences for these two attributes/benefits: ID bagging wheel where (1) the measurement scale is continuous, and ranges from 1-very unimportant to 10-very important (2) the first column indicates a respondents id.number (3) the second column (x-axis) is the importance weight attached to bagging (4) the third column (y-axis) is the importance weight attached to rear wheel drive Note: In this assignment, refer to the second column fi.e., bagging) as thex-axis, and the third column (i.e., wheel) as the y-axis. For example, Customer ID #3s importance weights are given by the coordinate values (7.00, 4.00) For Question #1 below, parts (a) through (j), perform a k-means cluster analysis of the Topco data. For purposes of this question, set k-2, and use the coordinate point (2,4) as initial centroid #1 and the coordinate point (3,2) as initial centroid #2. Perform and report all numeric calculations to 3 decimal places of precision (e., 8.352)

PLEASE DO QUESTION #2, IGNORE QUESTION 1

Question #2: (a) Enter the Topco data into SPSS, and create and paste below a simple SPSS-produced scatterplot, using bagging as the x-axis, and wheel as the y-axis PASTE SPss-produced scatterplot output here) (b) Use SPSS to perform a k-means cluster analysis, setting k-2. Let SPSS determine the initial cluster centroids. Paste below the SPSS output showing the inialcler centers chosen by the program. PASTE SPsS-produced initial cluster centers output here) (c) How many productive iterations did SPSS require to achieve convergence? (Recall that a productive iteration is one with a non-zero change in cluster centers see notes for example) Number of productive iterations to achieve convergence: __- PASTE SPsS-produced iteration history output here) (d) Paste below the SPSS output showing the final cluster centers. PASTE SPss-produced final cluster center output here)

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