Explain variation


Assignment:

Finding Predicted Value and Prediction Interval Refer to the data given in Exercise.

a. Find the predicted weight (in kg) of a seal given that the width from an overhead photograph is 9.0 cm.

b. Find a 95% prediction interval estimate of the weight (in kilograms) of a seal given that the width from an overhead photograph is 9.0 cm.

Exercise

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.

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

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Basic Statistics: Explain variation
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