Finding measures of variation


Assignment:

Finding Measures of Variation. In Exercisee shown below, 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 below 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 below in the Chapter Problem are listed below.

CPI

30.2

48.3

112.3

162.2

191.9

197.8

Subway Fare

0.15

0.35

1

1.35

1.5

2

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

13.9

14.1

14

14.3

14.1

14.5

14.5

14.4

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