Problem 6-23 (Algorithmic) The medical community unanimously agrees on the health benefits of regular exercise, but are adults listening? During each of the past 15 years, a polling organization has surveyed americans about their exercise habits. In the most recent of these polls, slightly over half of all American adults reported that they exercise for 3D or more minutes at least three times per week. The followmg data show the percentages of adults who repOIted that they exerCIse for 30 or more minutes at least three times per week during each of the 15 years of this study. Percentage of Adults Who Exercise 30 or Year more minutes at least three times per week 41.4 45.3 47.5 45.5 46.6 44.8 48 50.2 memmawwil 48.1 10 49.3 11 49.9 12 52.3 13 51 14 54.8 15 53.4 a. Choose the correct time series plot. (ii) 60 (i) 60 50 50 40 40 Percent of Adults who Exercise 30 Percent of Adults who Exercise 30 20 20 10 10 6 10 12 14 16 12 14 16 2 6 10 Year (t) Year (t) (iv) 60 (iii) 60 50 50 40 40 Percent of Adults who Exercise 30 Percent of Adults who Exercise 30 20 20 10 10 O 10 12 14 16 N 6 O 10 14 16 0 2 6 12 Year (t) Year (t)1 car \\I} a an \ , Plot ii! ' X Does a linear trend appear to be present? Possible Positive Linear Trend V \\I . use simple linear regression to find the parameters for the line that minimizes MSE for this time series Do not round your interim computations and round ynur nal answers to four decimal places. For subtractive or negative numbers use a minus sign. (Example: 7300] y-intercept, be : . Use the trend equation from part (b) to forecast the percentage of adults next year {year 16 of the study) who will report that they exercise for 30 or more minutes at least three times per week. Do not round your interim computations and ruund your final answers to four decimal places For subtractive or negative numbers use a minus sign. (Example: ,300) \"A: . Use the trend equation from part (b) to forecast the percentage of adults three years from now (year 18 of the study) who will report that they exercise for 3D or more minutes at least three times per week. Do not round your interim computations and round your nal answers to four decimal places. For subtractive or negative numbers use a minus sign (Example: GOD) \"fa