AnswersWHS Pre-Algebra - MA3119 B-CRTopic Test

Using Equations to Represent Trend Lines Answers

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1
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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.
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

Darren is finding the equation in the form for a trend line that passes through the points (2, 18) and (–3, 8). Which value should he use as b in his equation?

Question illustration
A
–34
B
–19
C
2
D
14
4

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
5

Mia’s work to find the slope of a trend line through the points (3, 10) and (35, 91) is shown below.Mia’s WorkStep 1Step 2Step 3What was the first error that Mia made?

Question illustration
A
Mia simplified incorrectly and made the slope positive.
B
Mia subtracted in the wrong order.
C
Mia switched the numerator and the denominator.
D
Mia used subtraction instead of addition.
6

Which pair of points should be used to find the line of best-fit for the scatterplot?.

Question illustration
A
J and L
B
J and M
C
K and L
D
K and M
7

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
8

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
9

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.
10

Jeremy surveyed students in his class about their spending habits in the school cafeteria. He used the data to create a scatterplot.How Students Spend Money in the Cafeteria Which is the equation of his trend line?

Question illustration
A
y = 2.75 x
Option A
B
y = 3.05 x minus 0.6
Option B
C
y = 3.25 x minus 1
Option C
D
y = 9.75 x minus 14
Option D

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