AnswersCV Q4 MJ Math Gr 8 PreAlg 1205070Using Equations to Represent Trend Lines

Using Equations to Represent Trend Lines Answers

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A basketball coach plotted data about her shooting guard’s playing time and point scoring in a scatterplot. Shooting Guard Minutes Played and Points Scored Which is the equation of the line of best-fit?

Question illustration
A
y = StartFraction 15 Over 22 EndFraction x + StartFraction 6 Over 11 EndFraction
Option A
B
y = StartFraction 15 Over 22 EndFraction x + StartFraction 43 Over 11 EndFraction
Option B
C
y = StartFraction 22 Over 15 EndFraction x minus StartFraction 86 Over 15 EndFraction
Option C
D
y = StartFraction 22 Over 15 EndFraction x minus four-fifths
Option D
2
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Miguel is calculating the slope of a line of best-fit in the scatterplot below. Which pair of points would be best for Miguel to use?

Question illustration
A
P and W
B
Q and V
C
R and U
D
S and T
3

The enrollment at East Valley High School over a six-year period is displayed in the scatterplot.Student Enrollment at East Valley High SchoolWhich is the equation of the line of best-fit for this scatterplot?

Question illustration
A
y = negative StartFraction 81 Over 2 EndFraction x + StartFraction 165,389 Over 2 EndFraction
Option A
B
y = negative StartFraction 2 Over 81 EndFraction x + StartFraction 111,748 Over 81 EndFraction
Option B
C
y = StartFraction 2 Over 81 EndFraction x + StartFraction 103,712 Over 81 EndFraction
Option C
D
y = StartFraction 81 Over 2 EndFraction x minus StartFraction 160,069 Over 2 EndFraction
Option D
4

Which is the equation of a trend line that passes through the points (7, 450) and (14, 401)?

A
y = negative 7 x + 499
Option A
B
y = negative StartFraction 1 Over 7 EndFraction x + 451
Option B
C
y = StartFraction 1 Over 7 EndFraction x + 449
Option C
D
y = 7 x + 401
Option D
5

Andrea’s work to find the equation of a trend line through the points (48, 61) and (72, 195) is shown below.Andrea’s Work Step 1Step 2Step 3Step 4What was the first error that Andrea made?

Question illustration
A
Andrea used the reciprocal of the slope.
B
Andrea made a computational error when she simplified m.
C
Andrea substituted incorrectly when she solved for b.
D
Andrea made a sign error when she solved for b.
6

Which is the equation of a trend line that passes through the points (3, 95) and (11, 12)? Round values to the nearest ten-thousandths.

A
y = negative 10.375 x + 126.125
Option A
B
y = negative 0.096 x + 13.056
Option B
C
y = 0.096 x + 10.944
Option C
D
y = 10.375 x 63.875
Option D
7

Which expression can be simplified to find the slope of the trend line in the scatterplot?

Question illustration
A
StartFraction 21 minus 35 Over 8 minus 4 EndFraction
Option A
B
StartFraction 8 minus 4 Over 21 minus 35 EndFraction
Option B
C
StartFraction 35 minus 21 Over 8 minus 4 EndFraction
Option C
D
StartFraction 8 minus 4 Over 35 minus 21 EndFraction
Option D
8

Which equation of a line of best-fit reflects a negative correlation?

A
y = StartFraction 1 Over 70 EndFraction x + 312
Option A
B
y = StartFraction negative 83 Over negative 27 EndFraction x + 15
Option B
C
y = 8 x minus 2
Option C
D
y = negative 6 x + 13
Option D
9

What is the slope of a trend line that passes through the points (1, 3) and (10, 25)?

A
Negative StartFraction 15 Over 2 EndFraction
Option A
B
Negative one-half
Option B
C
StartFraction 22 Over 9 EndFraction
Option C
D
StartFraction 24 Over 7 EndFraction
Option D
10

Jordan is calculating the slope of the trend line in the scatterplot below. How can Jordan use the plot to check the reasonableness of his answer?

Question illustration
A
His slope should be positive because the coordinates of all the plotted points are positive.
B
His slope should be positive because the trend line is slanted up to the right.
C
His slope should be negative because there are plotted points not on the line.
D
His slope should be negative because the x-coordinate of each plotted point is less than the y-coordinate.
11

What is the slope of the line of best-fit in the scatterplot below?

Question illustration
A
StartFraction 9 Over 27 EndFraction
Option A
B
StartFraction 3 Over 7 EndFraction
Option B
C
StartFraction 7 Over 3 EndFraction
Option C
D
StartFraction 27 Over 9 EndFraction
Option D
12

Melanie and Tracy are each finding the equation of the trend line that fits the data in the table below. Participation in the School BandYearNumber of students201048201152201255201359Melanie uses the ordered pairs (2010, 48) and (2013, 59) to find her equation. Tracy defines x as the number of years since 2010 and uses the ordered pairs (0, 48) and (3, 59) to find her equation. How will the two girls’ equations compare?

A
They will have the same slopes and the same y-intercepts.
B
They will have the same slopes but different y-intercepts.
C
They will have different slopes but the same y-intercepts.
D
They will have different slopes and different y-intercepts.
13

What is the slope of a trend line that passes through the points (5, 80) and (7, 65)?

A
Negative StartFraction 15 Over 2 EndFraction
Option A
B
Negative StartFraction 2 Over 15 EndFraction
Option B
C
StartFraction 2 Over 15 EndFraction
Option C
D
StartFraction 15 Over 2 EndFraction
Option D

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