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                                                Chapter 5: When Two Variables Are Better than One: Multiple Regression
                                                                     Advertising Dollars and Sales of Plasma TVs
                                                      Location
                                                                                          20
                                                      1
                                                                           0
                                                               9.73
                                                               11.19
                                                      2
                                                                           0
                                                                                          20
                                                                           5
                                                      3
                                                                                          5
                                                               8.75
                                                                           5
                                                                                          5
                                                      4
                                                               6.25
                                                               9.10
                                                      5
                                                                           10
                                                                                          10
                                                                           10
                                                               9.71
                                                      6
                                                                                          10
                                                      7
                                                                                          15
                                                               9.31
                                                                           15
                                                                                          15
                                                               11.77
                                                      8
                                                                           15
                                                      9 Table 5-1  Sales ($ mil)  TV Ads ($1,000)  Newspaper Ads ($1,000)  91
                                                                                          5
                                                                           20
                                                               8.82
                                                      10       9.82        20             5
                                                      11       16.28       25             25
                                                      12       15.77       25             25
                                                      13       10.44       30             0
                                                      14       9.14        30             0
                                                      15       13.29       35             5
                                                      16       13.30       35             5
                                                      17       14.05       40             10
                                                      18       14.36       40             10
                                                      19       15.21       45             15
                                                      20       17.41       45             15
                                                      21       18.66       50             20
                                                      22       17.17       50             20
                                                    The question is, can the amount of money spent on these two forms of adver-
                                                    tising do a good job of estimating sales (in other words, are the ads worth the
                                                    money)? And if so, do you need to include spending for both types of ads to
                                                    estimate sales, or is one of them enough? Looking at the numbers in Table 5-1,
                                                    you can see that higher sales may be related at least to higher amounts spent
                                                    on TV advertising; the situation with newspaper advertising may not be so
                                                    clear. So will the final multiple regression model contain both x variables or
                                                    only one? In the following sections, you can find out.
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