Scatterplots Answers

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The scatterplot shows the number of athletes on the field hockey and tennis teams at Southern High School during seven different years. Which statement is best supported by the line of best fit?

Question illustration
A
When there are 65 field hockey players, there will be about 40 tennis players.
B
When there are 20 field hockey players, there will be about 20 tennis players.
C
When there are 10 field hockey players, there will be about 35 tennis players.
D
When there are 40 field hockey players, there will be about 25 tennis players.
4

The line of best fit for the scatterplot below passes through which pair of points?

Question illustration
A
P and Q
B
S and T
C
R and Q
D
S and Q
5

Which phrase best describes the scatterplot below?

Question illustration
A
moderate negative correlation
B
strong positive correlation
C
weak negative correlation
D
weak positive correlation
7

A scatterplot is used to display data for a runner where x is the number of miles run, and y is the time, in minutes, that it takes to run that distance. Which interpretation describes a line of best fit of y = 9.5x for the data in the scatterplot?

A
For each 1 minute, the runner ran 9.5 miles.
B
For each 9.5 minutes, the runner ran 1 mile.
C
The minimum distance with a recorded time is 9.5 miles.
D
The maximum distance with a recorded time is 9.5 miles.
9

The graph displays the relationship between the length of time an employee works at a company and the number of the employee’s monthly customers. If the equation for the line of best fit is y = 4.5x + 2, which of the following can be used to interpret the y-intercept in context?

Question illustration
A
Employee training takes 2 months.
B
Employee training takes 4.5 months.
C
Employees are likely to bring 2 customers with them when changing jobs.
D
Employees are likely to bring 4.5 customers with them when changing jobs.
10

Kyle believes that the equation of the line of best fit for the scatterplot below is . Which statement best summarizes why Kyle is incorrect?

Question illustration
A
Kyle’s equation has a negative y-intercept, but the scatterplot shows a point on the y-axis with a positive y-value.
B
Kyle’s equation has a negative y-intercept, but the scatterplot shows a positive correlation.
C
Kyle’s equation has a negative slope, but the scatterplot shows a point on the y-axis with a positive y-value.
D
Kyle’s equation has a negative slope, but the scatterplot shows a positive correlation.
11

Marta believes that the equation of the line of best fit for the scatterplot below is . Which statement best summarizes why Marta is likely incorrect?

Question illustration
A
Marta’s equation has a positive y-intercept, but the scatterplot suggests a negative y-intercept.
B
Marta’s equation has a positive y-intercept, but the scatterplot shows a negative correlation.
C
Marta’s equation has a negative slope, but the scatterplot suggests a negative y-intercept.
D
Marta’s equation has a negative slope, but the scatterplot shows a positive correlation.
12

For which data set is a linear regression most reasonable?

A
a set of nine data pairs with a correlation coefficient r = –0.4
B
a set of five data pairs with a correlation coefficient r = 0.3
C
a set of four data pairs with a correlation coefficient r = –0.8
D
a set of six data pairs with a correlation coefficient r = 0.6
13

Kyle believes that the equation of the line of best fit for the scatterplot below is . Which statement best summarizes why Kyle is incorrect?

Question illustration
A
Kyle’s equation has a negative y-intercept, but the scatterplot shows a point on the y-axis with a positive y-value.
B
Kyle’s equation has a negative y-intercept, but the scatterplot shows a positive correlation.
C
Kyle’s equation has a negative slope, but the scatterplot shows a point on the y-axis with a positive y-value.
D
Kyle’s equation has a negative slope, but the scatterplot shows a positive correlation.
15

A scatterplot is used to display data where x is the amount of time, in minutes, one member can tolerate the heat in a sauna, and y is the temperature, in degrees Fahrenheit, of the sauna. Which interpretation describes a line of best fit of y = –1.5x + 173 for the data?

A
The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.
B
The amount of time the member can tolerate the heat in a sauna is 173 minutes.
C
The time increased 1.5 minutes for every degree Fahrenheit the temperature increased.
D
The time decreased 1.5 minutes for every degree Fahrenheit the temperature decreased.

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