The medical community unanimously agrees on the health benefits of regular exercise, but are adults listening? During...

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  1. The medical communityunanimously agrees on the health benefits of regular exercise, butare adults listening? During each of the past 15 years, a pollingorganization has surveyed americans about their exercise habits. Inthe most recent of these polls, slightly over half of all Americanadults reported that they exercise for 30 or more minutes at leastthree times per week. The following data show the percentages ofadults who reported that they exercise for 30 or more minutes atleast three times per week during each of the 15 years of thisstudy.

    YearPercentage of Adults Who Exercise 30 or more minutes atleast three times per week
    141.8
    245.4
    347.4
    445.7
    546.6
    644.6
    747.8
    851.3
    949.4
    1049.2
    1149.5
    1252.5
    1350.5
    1455
    1552.5


    1. use simple linear regression to find the parameters for theline that minimizes MSE for this time series. Do not round yourinterim computations and round your final answers to four decimalplaces. For subtractive or negative numbers use a minus sign.(Example: -300)

      y-intercept, b0 =

      Slope, b1 =

      MSE =
    2. Use the trend equation from part (b) to forecast the percentageof adults next year (year 16 of the study) who will report thatthey exercise for 30 or more minutes at least three times per week.Do not round your interim computations and round your final answersto four decimal places. For subtractive or negative numbers use aminus sign. (Example: -300)

      %
    3. Use the trend equation from part (b) to forecast the percentageof adults three years from now (year 18 of the study) who willreport that they exercise for 30 or more minutes at least threetimes per week. Do not round your interim computations and roundyour final answers to four decimal places. For subtractive ornegative numbers use a minus sign. (Example: -300)

      %

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