The Sasakawa Sports Foundation conducted a national survey to assess the physical activity patterns of Japanese adults. The next table lists the frequency (average number of days in the past year) and the amount of time (average number of minutes per single activity) Japanese adults spent participating in a sample of 11 sports activities. The data are saved in the JAPANSPORTS file.

a. Write the equation of a straight-line model relating duration (y) to frequency (x).
b. Find the least squares prediction equation.
c. Is there evidence of a linear relationship between y and x? Test, using α = .05.
d. Use the least squares line to predict the amount of time Japanese adults participate in a sport that they play 25 times a year. Form a 95% confidence interval around the prediction and interpret the result.

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Frequency x (days/years) Amount of Time y (minutes) Activity Jogging Cycling Aerobics Swimming Volleyball Tennis Softball Baseball Skating Skiing 135 43 61 60 80 100 91 127 115 249 262 39 21 16 19 10