Scatterplots Answers

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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.
3

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.
5

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

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.
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
10

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

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