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

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