Statistics Canada produces consumer price indexes for several different categories. Shown here are the percentage changes in consumer price indexes over a period of 22 years for durable goods, semidurable goods, and nondurable goods. Also displayed are the percentage changes in the total goods price index. Use these data and multiple regression to develop a model that attempts to predict the total goods index by the other three variables. Comment on the result of this analysis.

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Year 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Total Goods 85.7 86.4 87.8 86.8 88.4 89.9 91.2 91.4 93.1 96.0 98.4 100.0 101.9 103.4 105.8 107.1 108.0 109.4 107.6 109.2 112.9 114.0 Durable Goods 89.4 90.4 92.5 96.0 99.0 100.8 101.6 101.5 101.5 100.8 100.1 100.0 99.2 97.5 96.9 96.2 94.6 89.7 86.9 87.0 86.0 85.5 Semidurable Goods 91.9 92.5 93.4 94.2 94.9 95.4 97.0 97.7 99.2 99.6 100.2 100.0 98.6 98.2 97.7 96.2 96.0 94.5 94.5 93.3 93.5 93.4 Nondurable Goods 83.2 83.8 85.2 81.6 82.8 84.4 86.0 86.1 88.4 93.3 97.4 100.0 104.3 107.9 112.6 115.9 118.4 124.4 122.6 126.0 133.7 136.1