Scatterplots Answers

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1
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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?

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.
2
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A sociologist recorded the estimated life expectancies of women born in Center City. Use the data from women born in 1970 and 2000 to create a linear model that predicts the life expectancy, in years, (y) of a female born in a given year (x). YearBornLife Expectancy(years)196066.1197067.6198070.1199071.9200074.0201075.9Which equation represents this linear model?

A
y = 0.213x – 352.7
B
y = 0.213x – 358.4
C
y = 4.695x – 9181.6
D
y = 4.695x – 9322.4
3

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
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

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

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

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
6

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.

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