Male life expectancy. Refer to Problem 92 . Subsequent data indicated that life expectancy grew to 73.2 years for males born during 1995 - 2000 and to 74.3 years for males born during 2000 - 2005 . Add the points 15 , 73.2 and 20 , 74.3 to the data set in Problem 92 . Use a graphing calculator to find a quadratic regression model for all five data points. Graph the data and the model in the same viewing window.
Male life expectancy. Refer to Problem 92 . Subsequent data indicated that life expectancy grew to 73.2 years for males born during 1995 - 2000 and to 74.3 years for males born during 2000 - 2005 . Add the points 15 , 73.2 and 20 , 74.3 to the data set in Problem 92 . Use a graphing calculator to find a quadratic regression model for all five data points. Graph the data and the model in the same viewing window.
Male life expectancy. Refer to Problem
92
. Subsequent data indicated that life expectancy grew to
73.2
years for males born during
1995
-
2000
and to
74.3
years for males born during
2000
-
2005
. Add the points
15
,
73.2
and
20
,
74.3
to the data set in Problem
92
. Use a graphing calculator to find a quadratic regression model for all five data points. Graph the data and the model in the same viewing window.
nd
ave a
ction and
ave an
48. The domain of f
y=f'(x)
x
1
2
(=
x<0
x<0
= f(x)
possible.
Group Activity In Exercises 49 and 50, do the following.
(a) Find the absolute extrema of f and where they occur.
(b) Find any points of inflection.
(c) Sketch a possible graph of f.
49. f is continuous on [0,3] and satisfies the following.
X
0
1
2
3
f
0
2
0
-2
f'
3
0
does not exist
-3
f"
0
-1
does not exist
0
ve
tes where
X
0 < x <1
1< x <2
2
Morningstar tracks the total return for a large number of mutual funds. The following table shows the total return and the number of funds for four categories of mutual funds.
Click on the datafile logo to reference the data.
DATA file
Type of Fund
Domestic Equity
Number of Funds
Total Return (%)
9191
4.65
International Equity
2621
18.15
Hybrid
1419
2900
11.36
6.75
Specialty Stock
a. Using the number of funds as weights, compute the weighted average total return for these mutual funds. (to 2 decimals)
%
b. Is there any difficulty associated with using the "number of funds" as the weights in computing the weighted average total return in part (a)? Discuss. What else might be used for weights?
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
c. Suppose you invested $10,000 in this group of mutual funds and diversified the investment by placing $2000 in Domestic Equity funds, $4000 in International Equity funds, $3000 in Specialty Stock…
The days to maturity for a sample of five money market funds are shown here. The dollar amounts invested in the funds are provided.
Days to
Maturity
20
Dollar Value
($ millions)
20
12
30
7
10
5
6
15
10
Use the weighted mean to determine the mean number of days to maturity for dollars invested in these five money market funds (to 1 decimal).
days
Chapter 4 Solutions
Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
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