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 30 or more minutes at least three times per week. The following data show the percentages of adults who reported that they exercise for 30 or more minutes at least three times per week during each of the 15 years of this study. YearPercentage of Adults Who Exercise 30 or more minutes at least three times per week141.8245.4347.2445.7546.8644.8747.8850.5948.31049.31149.51252.51350.714551552.3 Choose the correct time series plot.(i) (ii) (iii) (iv) Does a linear trend appear to be present? 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 your final answers to four decimal places. For subtractive or negative numbers use a minus sign. (Example: -300)y-intercept, b0 = fill in the blank 3Slope, b1 = fill in the blank 4MSE = fill in the blank 5Use 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 round your final answers to four decimal places. For subtractive or negative numbers use a minus sign. (Example: -300)fill in the blank 6 %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 30 or more minutes at least three times per week. Do not round your interim computations and round your final answers to four decimal places. For subtractive or negative numbers use a minus sign. (Example: -300)fill in the blank 7 % correct time series plot12148Year (t)(iv)1214 16Percent of Adults who ExercisePercent of Adults who ExercisePercent of Adults who ExercisePercent of Adults who Exercise12 Does a linear trend appear to be present?b. 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 your final answers to four decimalplaces. For subtractive or negative numbers use a minus sign. (Example: -300)y-intercept, bo =Slope, b, =MSEc. 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 perweek. Do not round your interim computations and round your final answers to four decimal places. For subtractive or negative numbers use a minus sign. (Example: -300)%d. 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 30 or more minutes at least threetimes per week. Do not round your interim computations and round your final answers to four decimal places. For subtractive or negative numbers use a minus sign. (Example: -300)

Name: Problem 6-23 (Algorithmic)The medical community unanimously agrees on
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Description: 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 t

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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 30 or more minutes at least three times per week. The following data show the percentages of adults who reported that they exercise for 30 or more minutes at least three times per week during each of the 15 years of this study. Year Percentage of Adults Who Exercise 30 or more minutes at least three times per week 1 41.8 2 45.4 3 47.2 4 45.7 5 46.8 6 44.8 7 47.8 8 50.5 9 48.3 10 49.3 11 49.5 12 52.5 13 50.7 14 55 15 52.3 Choose the correct time series plot. (i) (ii) (iii) (iv) Does a linear trend appear to be present? 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 your final answers to four decimal places. For subtractive or negative numbers use a minus sign. (Example: -300) y-intercept, b0 = fill in the blank 3 Slope, b1 = fill in the blank 4 MSE = fill in the blank 5 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 round your final answers to four decimal places. For subtractive or negative numbers use a minus sign. (Example: -300) fill in the blank 6 %

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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 30 or more minutes at least three times per week. The following data show the percentages of adults who reported that they exercise for 30 or more minutes at least three times per week during each of the 15 years of this study.

Year	Percentage of Adults Who Exercise 30 or more minutes at least three times per week
1	41.8
2	45.4
3	47.2
4	45.7
5	46.8
6	44.8
7	47.8
8	50.5
9	48.3
10	49.3
11	49.5
12	52.5
13	50.7
14	55
15	52.3

Choose the correct time series plot.

(i) (ii)

(iii) (iv)

Does a linear trend appear to be present?
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 your final answers to four decimal places. For subtractive or negative numbers use a minus sign. (Example: -300)

y-intercept, b₀ = fill in the blank 3

Slope, b₁ = fill in the blank 4

MSE = fill in the blank 5
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 round your final answers to four decimal places. For subtractive or negative numbers use a minus sign. (Example: -300)

fill in the blank 6 %
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 30 or more minutes at least three times per week. Do not round your interim computations and round your final answers to four decimal places. For subtractive or negative numbers use a minus sign. (Example: -300)

fill in the blank 7 %

correct time series plot
12
14
8
Year (t)
(iv)
12
14 16
Percent of Adults who Exercise
Percent of Adults who Exercise
Percent of Adults who Exercise
Percent of Adults who Exercise
12

Does a linear trend appear to be present?
b. 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 your final answers to four decimal
places. For subtractive or negative numbers use a minus sign. (Example: -300)
y-intercept, bo =
Slope, b, =
MSE
c. 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 round your final answers to four decimal places. For subtractive or negative numbers use a minus sign. (Example: -300)
%
d. 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 30 or more minutes at least three
times per week. Do not round your interim computations and round your final answers to four decimal places. For subtractive or negative numbers use a minus sign. (Example: -300)

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