Question

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Part 1
The following table gives the average hours of traditional​ (network and​ cable) television watched per week in five age categories. For the age​ categories, use the data points​ 6, 15,​ 21, 40, 65. Complete parts​ (a) through​ (c).
Age
Weekly TV hours

2 dash 11
21.5
12 dash 17
15.7
18 dash 24
16.5
25 dash 54
32
greater than 54
50
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Part 1
a. Make a scatterplot for the data.
A.
TV Watching Time by Age
0
20
40
60
0
20
40
60
Age
Hours per week



A scatterplot has a horizontal axis labeled Age from 0 to 70 in increments of 20 and a vertical axis labeled Hours per week from 0 to 60 in increments of 20 and contains 5 points. The coordinates of the points are as follows: (6, 32); (15, 15.7); (21, 16.5); (40, 21.5); (65, 50). All coordinates are approximate.
B.
TV Watching Time by Age
0
20
40
60
0
20
40
60
Age
Hours per week



A scatterplot has a horizontal axis labeled Age from 0 to 70 in increments of 20 and a vertical axis labeled Hours per week from 0 to 60 in increments of 20 and contains 5 points. The coordinates of the points are as follows: (6, 21.5); (15, 15.7); (21, 16.5); (40, 32); (65, 50). All coordinates are approximate.
Your answer is correct.C.
TV Watching Time by Age
0
20
40
60
0
20
40
60
Age
Hours per week



A scatterplot has a horizontal axis labeled Age from 0 to 70 in increments of 20 and a vertical axis labeled Hours per week from 0 to 60 in increments of 20 and contains 5 points. The coordinates of the points are as follows: (6, 21.5); (15, 32); (21, 16.5); (40, 15.7); (65, 50). All coordinates are approximate.
D.
TV Watching Time by Age
0
20
40
60
0
20
40
60
Age
Hours per week



A scatterplot has a horizontal axis labeled Age from 0 to 70 in increments of 20 and a vertical axis labeled Hours per week from 0 to 60 in increments of 20 and contains 5 points. The coordinates of the points are as follows: (6, 21.5); (15, 15.7); (21, 50); (40, 32); (65, 16.5). All coordinates are approximate.
Part 2
b. State whether the two variables appear to be​ correlated, and if​ so, state whether the correlation is​ positive, negative,​ strong, or weak.
A.
The two variables appear to have strong positive correlation.
Your answer is correct.B.
The two variables appear to have strong negative correlation.
C.
The two variables appear to have weak positive correlation.
D.
The two variables appear to have weak negative correlation.
E.
The two variables do not appear to be correlated.
Part 3
c. Suggest a reason for the correlation or lack of correlation.
A.
People who are younger want to watch their favorite shows so they watch more TV.
B.
People who are older get bored watching TV so they watch less.
C.
As people get​ older, they have more free time and can watch more TV.
D.
Age and average weekly television watched is not correlated.

Answer 1

Part (a): B — the scatterplot with points (6, 21.5), (15, 15.7), (21, 16.5), (40, 32), (65, 50).

Part (b): A — the variables show a strong positive correlation (hours generally increase with age).

Part (c): C — as people get older they often have more free time and can watch more TV.