Scatterplots Answers

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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.
4

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.
6

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
8

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
9

Which scatterplot has a correlation coefficient closest to r = 1?

A
mc022-1.jpg
Option A
B
mc022-2.jpg
Option B
C
mc022-3.jpg
Option C
D
mc022-4.jpg
Option D
11

Poloma believes that the equation of the line of best fit for the following scatterplot is . Which statement best summarizes why she must be wrong?

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

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.
13

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
14

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.
15

Irina plotted the number of participants in a summer camp program on a coordinate plane to create the following scatterplot. Which graph shows the line of best fit for this scatterplot?

Question illustration
A
mc015-2.jpg
Option A
B
mc015-3.jpg
Option B
C
mc015-4.jpg
Option C
D
mc015-5.jpg
Option D

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