The Chamber of Commerce in a Canadian city has conducted an evaluation of 300 restaurants in its metropolitan area. Each restaurant received a rating on a 3-point scale on typical meal price (1 least expensive to 3 most expensive) and quality (1 lowest to 3 greatest quality). A cross tabulation of the rating data is shown. Forty-two of the restaurants received a rating of 1 on quality and 1 on meal price, 39 of the restaurants received a rating of 1 on quality and 2 on meal price, and so on. Forty-eight of the restaurants received the highest rating of 3 on both quality and meal price.  Show Steps in Excel                                                                          Meal price (y)                                        1                           2                              3                        Total Quality (x) 1                  42                          39                          3                            84                  2                   33                         63                         54                          150                  3                     3                         15                         48                            66 Total                              78                        117                       105                          30 The Var(x + y) =1.6691. Compute the

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The Chamber of Commerce in a Canadian city has conducted an evaluation of 300 restaurants in its metropolitan area. Each restaurant received a rating on a 3-point scale on typical meal price (1 least expensive to 3 most expensive) and quality (1 lowest to 3 greatest quality). A cross tabulation of the rating data is shown. Forty-two of the restaurants received a rating of 1 on quality and 1 on meal price, 39 of the restaurants received a rating of 1 on quality and 2 on meal price, and so on. Forty-eight of the restaurants received the highest rating of 3 on both quality and meal price.  Show Steps in Excel
                                                                         Meal price (y)
                                       1                           2                              3                        Total

Quality (x) 1                  42                          39                          3                            84

                 2                   33                         63                         54                          150

                 3                     3                         15                         48                            66

Total                              78                        117                       105                          30


  1. The Var(x + y) =1.6691. Compute the covariance of x and y. What can you say about the relationship between quality and meal price? Is this what you would expect?

  2. Compute the correlation coefficient between quality and meal price? What is the strength of the relationship? Do you suppose it is likely to find a low-cost restaurant in this city that is also high quality? Why or why not?
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