Finding Measures of Variation. In Exercises 1–4, find the (a) explained variation, (b) unexplained variation, (c) total variation, (d) coefficient of determination, and (e) standard error of estimate se. In each case, there is sufficient evidence to support a claim of a linear correlation so that it is reasonable to use the regression equation when making predictions.
1.CPI and Pizza The Consumer Price Index (CPI) and the cost of a slice of pizza from Table 10-1 in the Chapter Problem are listed below.
CPI
30.2
48.3
112.3
162.2
191.9
197.8
Cost of Pizza
0.15
0.35
1
1.25
1.758
2
2. CPI and Subway Fare The Consumer Price Index (CPI) and the cost of subway fare from Table 10-1 in the Chapter Problem are listed below.
Subway Fare
1.35
1.5
3. Measuring Seals from Photos Listed below are the overhead widths (in cm) of seals measured from photographs and the weights of the seals (in kg). (The data are based on “Mass Estimation of Weddell Seals Using Techniques of Photogrammetry,” by R. Garrott of Montana State University.)
Overhead Width
7.2
7.4
9.8
9.4
8.8
8.4
Weight
116
154
245
202
200
191
4. Global Warming Listed below are concentrations (in parts per million) of CO2 and temperatures (in °C) for different years (based on data from the Earth Policy Institute).
CO2
314
317
320
326
331
339
346
354
361
369
Temperature
13.9
14
14.1
14.3
14.5
14.4
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