In: Math
The medical community unanimously agrees on the health benefits
of regular exercise, but are adults listening?...
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
|
41.5
|
2
|
45.2
|
3
|
47.1
|
4
|
45.6
|
5
|
46.7
|
6
|
44.7
|
7
|
47.9
|
8
|
50
|
9
|
48.2
|
10
|
49.4
|
11
|
50
|
12
|
52.4
|
13
|
51.1
|
14
|
54.9
|
15
|
52.5
|
- 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 =
Slope, b1 =
MSE =
- 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)
%
- 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)