EXERCISES
(A) Draw a scatterplot of the bivariate data set.
(B) Construct a mathematical model for the situation.
(C) Assess the fit of your model geometrically and analytically (if possible).
(D) Make a prediction of your choosing with your model.
1. x = year
y = number (in millions) of women in the US workforce
Source: US Bureau of Labor Statistics
|
x |
1940 |
1950 |
1960 |
1970 |
1980 |
1990 |
2000 |
|
y |
12.8 |
18.4 |
23.3 |
31.6 |
45.6 |
56.6 |
63.1 |
2. x = number of days elapsed
y = number of Paramecia in a colony
Source: Calculus by James Stewart
|
x |
0 |
2 |
4 |
6 |
8 |
10 |
12 |
14 |
16 |
|
y |
2 |
22 |
39 |
54 |
50 |
69 |
57 |
53 |
57 |
3. x = age (in years)
y = median household income (in $)
Source: Calculus & Its Applications by Marvin Bittinger
|
19.5 |
29.5 |
39.5 |
49.5 |
59.5 |
65 |
|
21438 |
35888 |
44420 |
50472 |
39815 |
19448 |
4. x = number of years driving experience
y = monthly auto insurance premium (in $)
Source: Introductory Statistics by Prem Mann
|
5 |
2 |
12 |
9 |
15 |
6 |
25 |
16 |
|
64 |
87 |
50 |
71 |
44 |
56 |
42 |
60 |
5. x = year
y = average US price(in cents) for 5 pounds of sugar
Source: Historical Statistics of the US (Colonial Times to 1970)
|
1890 |
1900 |
1910 |
1920 |
1930 |
1940 |
1950 |
1960 |
1970 |
|
34.5 |
30.5 |
30.0 |
57.0 |
30.5 |
26.0 |
48.7 |
58.2 |
64.8 |
6. x = month
y = temperature (
) in Savannah, GA
Source: The Washington Post
|
JAN 1 |
FEB 2 |
MAR 3 |
APR 4 |
MAY 5 |
JUN 6 |
JUL 7 |
AUG 8 |
SEP 9 |
OCT 10 |
NOV 11 |
DEC 12 |
|
48.9 |
51.8 |
59.2 |
66.0 |
73.5 |
79.1 |
81.8 |
81.0 |
76.6 |
67.3 |
59.1 |
51.7 |
7. x = time (in hours)
y = yeast biomass (in grams)
Source: A First Course in Mathematical Modeling by Giordano, Weir, and Fox
|
x |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
y |
9.6 |
18.3 |
29.0 |
47.2 |
71.1 |
119.1 |
174.6 |
257.3 |
350.7 |
441.0 |
|
x |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
|
|
y |
513.3 |
559.7 |
594.8 |
629.4 |
640.8 |
651.1 |
655.9 |
659.6 |
661.8 |
|