Answers FL-1200330-Algebra 2Linear Functions

Scatterplots Answers

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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?

Employee training takes 2 months.

Employee training takes 4.5 months.

Employees are likely to bring 2 customers with them when changing jobs.

Employees are likely to bring 4.5 customers with them when changing jobs.

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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?

When there are 65 field hockey players, there will be about 40 tennis players.

When there are 20 field hockey players, there will be about 20 tennis players.

When there are 10 field hockey players, there will be about 35 tennis players.

When there are 40 field hockey players, there will be about 25 tennis players.

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?

Poloma’s equation has a positive y-intercept, but the scatterplot has a negative correlation.

Poloma’s equation has a positive slope, but the scatterplot has a negative correlation.

Poloma’s equation has a negative y-intercept, but the scatterplot has a positive correlation.

Poloma’s equation has a negative slope, but the scatterplot has a positive correlation.

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?

Option

For which data set is a linear regression most reasonable?

a set of nine data pairs with a correlation coefficient r = –0.4

a set of five data pairs with a correlation coefficient r = 0.3

a set of four data pairs with a correlation coefficient r = –0.8

a set of six data pairs with a correlation coefficient r = 0.6

The scatterplot shows the number of home runs Mario hits during his first four seasons on the company softball team. If his output continues to follow the linear model, approximately how many home runs will Mario hit during his ninth season?

30 home runs

35 home runs

45 home runs

50 home runs

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?

For each 1 minute, the runner ran 9.5 miles.

For each 9.5 minutes, the runner ran 1 mile.

The minimum distance with a recorded time is 9.5 miles.

The maximum distance with a recorded time is 9.5 miles.

Which phrase best describes the scatterplot below?

moderate negative correlation

strong positive correlation

weak negative correlation

weak positive correlation

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

P and Q

P and T

R and Q

S and Q

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

Kyle’s equation has a negative y-intercept, but the scatterplot shows a point on the y-axis with a positive y-value.

Kyle’s equation has a negative y-intercept, but the scatterplot shows a positive correlation.

Kyle’s equation has a negative slope, but the scatterplot shows a point on the y-axis with a positive y-value.

Kyle’s equation has a negative slope, but the scatterplot shows a positive correlation.

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