The Centers for Disease Control and Prevention Office on Smoking and Health (OSH) is the lead federal agency responsible for comprehensive tobacco prevention and control. OSH was established in 1965 to reduce the death and disease caused by tobacco use and exposure to secondhand smoke. One of the many responsibilities of the OSH is to collect data on tobacco use. The following data show the percentage of U.S. adults who were users of tobacco for a recent 11-year period (http://www.cdc.gov/tobacco/data_statistics/tables/trends/cig_smoking/index.htm). Year Percentage of Adults Who Smoke 1 22.8 2 22 3 21.5 4 21 5 21 6 20.3 7 19.4 8 20.5 9 20.5 10 19.7 11 18.8 Choose the correct time series plot. (i) (ii) (iii) (iv) What type of pattern exists in the data? Use simple linear regression analysis 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 three 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 One of OSH’s goals is to cut the percentage of U.S. adults who were users of tobacco to 12% or less within nine years of the last year of these data. Does your regression model from part (b) suggest that OSH is on target to meet this goal? Use your model from part (b) to estimate the number of years that must pass after these data have been collected before OSH will achieve this goal. Round your answer to the nearest whole number. fill in the blank 7 years

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Problem 6-21 (Algorithmic)

The Centers for Disease Control and Prevention Office on Smoking and Health (OSH) is the lead federal agency responsible for comprehensive tobacco prevention and control. OSH was established in 1965 to reduce the death and disease caused by tobacco use and exposure to secondhand smoke. One of the many responsibilities of the OSH is to collect data on tobacco use. The following data show the percentage of U.S. adults who were users of tobacco for a recent 11-year period (http://www.cdc.gov/tobacco/data_statistics/tables/trends/cig_smoking/index.htm).

Year Percentage of Adults Who Smoke

1 22.8

2 22

3 21.5

4 21

5 21

6 20.3

7 19.4

8 20.5

9 20.5

10 19.7

11 18.8

Choose the correct time series plot.

(i) (ii)

(iii) (iv)

What type of pattern exists in the data?

Use simple linear regression analysis 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 three 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

One of OSH’s goals is to cut the percentage of U.S. adults who were users of tobacco to 12% or less within nine years of the last year of these data. Does your regression model from part (b) suggest that OSH is on target to meet this goal?

Use your model from part (b) to estimate the number of years that must pass after these data have been collected before OSH will achieve this goal. Round your answer to the nearest whole number.

fill in the blank 7 years

a. Choose the correct time series plot.
(i)
25
(ii)
25
20
20
15
10
5
4
6
10
12
6
8
10
12
Year (t)
Year (f)
(iii)
25
(iv)
25
20
15
10
10
5
2
10
12
2
10
12
Year (t)
Year (t)
Percent of Adults Who Smoke
Percent of Adults Who Smoke
Percent of Adults Who Smoke
Percent of Adults Who Smoke

What type of pattern exists in the data?
b. Use simple linear regression analysis 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 three
decimal places. For subtractive or negative numbers use a minus sign. (Example: -300)
y-intercept, bo =
Slope, bị =
MSE =
c. One of OSH's goals is to cut the percentage of U.S. adults who were users of tobacco to 12% or less within nine years of the last year of these data. Does your regression model from part (b)
suggest that OSH is on target to meet this goal?
Use your model from part (b) to estimate the number of years that must pass after these data have been collected before OSH will achieve this goal. Round your answer to the nearest whole
number.
years

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