AnswersStatistical ReasoningThe Relationship between Two Quantitative Variables

The Relationship between Two Quantitative Variables — Quiz Answers

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1
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Which scatterplot demonstrates the strongest relationship between two quantitative variables?

A
Image with description A scatter plot has x on the x-axis, and y on the y-axis. Points are scattered throughout the graph.
B
Image with description A scatter plot has x on the x-axis, and y on the y-axis. Points are scattered throughout the graph.
C
Image with description A scatter plot has x on the x-axis, and y on the y-axis. Points increase loosely together.
D
Image with description A scatter plot has x on the x-axis, and y on the y-axis. Points increase tightly together.
3

At a dome-style football stadium, sports analysts noticed that as the distance of a field-goal attempt increased, the success rate of a field-goal attempt decreased. What are the explanatory variable and response variable for this relationship?

A
Explanatory variable: success rate of field-goal attempt Response variable: distance of field-goal attempt
B
Explanatory variable: style of stadium Response variable: distance of field-goal attempt
C
Explanatory variable: distance of field-goal attempt Response variable: success rate of field-goal attempt
D
Explanatory variable: style of stadium Response variable: success rate of field-goal attempt
4

Which scatterplot demonstrates the strongest relationship between two quantitative variables?

A
Image with description A scatter plot has x on the x-axis, and y on the y-axis. Points curve up and then down in a line.
B
Image with description A scatter plot has x on the x-axis, and y on the y-axis. Points increase loosely together.
C
Image with description A scatter plot has x on the x-axis, and y on the y-axis. Points decrease loosely together.
D
Image with description A scatter plot has x on the x-axis, and y on the y-axis. Points are scattered throughout the graph.
5

Football coaches running their summer practices noticed that the players who weighed more typically had slower times for their 40-yard dash. What are the explanatory variable and response variable for this relationship?

A
Explanatory variable: season Response variable: player 40-yard-dash time
B
Explanatory variable: player 40-yard-dash time Response variable: player weight
C
Explanatory variable: season Response variable: player weight
D
Explanatory variable: player weight Response variable: player 40-yard-dash time
7

Real estate agents in a county with a large, urban residential area noticed that families with larger incomes tend to live in homes that sell for higher prices. What are the explanatory variable and response variable for this relationship?

A
Explanatory variable: type of residential area Response variable: price of the home
B
Explanatory variable: family income Response variable: price of the home
C
Explanatory variable: price of the home Response variable: type of residential area
D
Explanatory variable: price of the home Response variable: family income
8

Exercise science researchers collecting data within their state noticed that teens who spend more time streaming videos spend less time exercising. What are the explanatory variable and response variable for this relationship?

A
Explanatory variable: time spent streaming videos Response variable: time spent exercising
B
Explanatory variable: time spent exercising Response variable: time spent streaming videos
C
Explanatory variable: time spent exercising Response variable: state of teen’s residence
D
Explanatory variable: state of teen’s residence Response variable: time spent streaming videos
9

Auto technicians working at a shop in a rural residential area noticed that the depth of tire treads was smaller among cars that have more miles on the odometer. What are the explanatory variable and response variable for this relationship?

A
Explanatory variable: type of residential area Response variable: miles on the car odometer
B
Explanatory variable: miles on the car odometer Response variable: depth of tire tread
C
Explanatory variable: depth of tire tread Response variable: miles on the car odometer
D
Explanatory variable: type of residential area Response variable: depth of tire tread
10

Which scatterplot represents the player data?

A
Image with description A scatter plot titled Weight and 40-Yard Dash Times. The horizontal axis ranges from 170 to 210 in increments of 5 and has no label. The vertical axis ranges from 4 point 30 to 4 point 6 5 in increments of 0 point 0 5 and has no label. Some significant points on the graph are (170, 4 point 3 2), (180, 4 point 3 2), (180, 4 point 3 9), (180, 4 point 4 9), (180, 4 point 5 0), (185, 4 point 3 6), (187, 4 point 5 1), (190, 4 point 3 2), (190, 4 point 5 0), (190, 4 point 5 2), (190, 4 point 5 4), (191, 4 point 5 6), (192, 4 point 6 1), (200, 4 point 4 4), (200, 4 point 5 4), (209, 4 point 4 6), and (209, 4 point 5 2).
B
Image with description A scatter plot titled Weight and 40-Yard Dash Times. The horizontal axis ranges from 4 point 30 to 4 point 6 5 in increments of 0 point 0 5 and is labeled 40-yard time in seconds. The vertical axis ranges from 170 to 210 in increments of 5 and is labeled weight in pounds. Some significant points are (4 point 32, 175), (4 point 3 2, 180), (4 point 3 2, 192), (4 point 3 6, 185), (4 point 40, 180), (4 point 4 3, 200), (4 point 4 6, 208), (4 point 4 7, 180), (4 point 5 0, 180), (4 point 5 0, 190), (4 point 5 1, 187), (4 point 5 3, 190), (4 point 5 3, 208), (4 point 5 4, 192), (4 point 5 5, 190), (4 point 5 6, 192), and (4 point 6 3, 193).
C
Image with description A scatter plot titled Weight and 40-Yard Dash Times. The horizontal axis is labeled Weight in pounds and has no scale. The vertical axis is labeled 40-yard time in seocnds and has no scale. Some points are on the graph and are scattered.
D
Image with description A scatter plot titled Weight and 40-Yard Dash Times. The horizontal axis ranges from 170 to 210 in increments of 5 and is titled weight in pounds. The vertical axis ranges from 4 point 30 to 4 point 6 5 in increments of 0 point 0 5 and is titled 40-yard time in seconds. Some significant points on the graph are (175, 4 point 3 2), (180, 4 point 3 2), (180, 4 point 3 9), (180, 4 point 5), (185, 4 point 3 6), (188, 4 point 5 1), (190, 4 point 5), (190, 4 point 5 2), (190, 4 point 5 4), (191, 4 point 5 3), (200, 4 point 4 3), (200, 4 point 5 4), (209, 4 point 4 6), and (209, 4 point 5 2).

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