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 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. Year Total Goods Durable Goods Semidurable Goods Nondurable Goods 1 85.7 89.4 91.9 83.2 2 86.4 90.4 92.5 83.8 3 87.8 92.5 93.4 85.2 4 86.8 96.0 94.2 81.6 5 88.4 99.0 94.9 82.9 6 89.9 100.8 95.4 84.4 7 91.2 101.6 97.0 86.0 8 91.4 101.5 97.7 86.1 9 93.1 101.5 99.2 88.4 10 96.0 100.8 99.6 93.3 11 98.4 100.1 100.3 97.4 12 100 100 100 100 13 101.9 99.2 98.6 104.3 14 103.4 97.5 98.2 107.9 15 105.8 96.9 97.7 112.6 16 107.1 96.2 96.2 115.9 17 108.0 94.7 96.0 118.4 18 109.4 89.7 94.5 124.5 19 107.6 86.9 94.5 122.6 20 109.2 87.0 93.3 126.0 21 112.9 86.0 93.5 133.7 22 114..0 85.5 93.4 136.1

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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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 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.

Year	Total Goods	Durable Goods	Semidurable Goods	Nondurable Goods
1	85.7	89.4	91.9	83.2
2	86.4	90.4	92.5	83.8
3	87.8	92.5	93.4	85.2
4	86.8	96.0	94.2	81.6
5	88.4	99.0	94.9	82.9
6	89.9	100.8	95.4	84.4
7	91.2	101.6	97.0	86.0
8	91.4	101.5	97.7	86.1
9	93.1	101.5	99.2	88.4
10	96.0	100.8	99.6	93.3
11	98.4	100.1	100.3	97.4
12	100	100	100	100
13	101.9	99.2	98.6	104.3
14	103.4	97.5	98.2	107.9
15	105.8	96.9	97.7	112.6
16	107.1	96.2	96.2	115.9
17	108.0	94.7	96.0	118.4
18	109.4	89.7	94.5	124.5
19	107.6	86.9	94.5	122.6
20	109.2	87.0	93.3	126.0
21	112.9	86.0	93.5	133.7
22	114..0	85.5	93.4	136.1

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