AnswersFL-1205070-MJ Grade 8 Pre-Algebra Q2 Teacher-Led RemediationDrawing Trend Lines

Drawing Trend Lines Answers

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James needs to draw the trend line for both scatterplot A and scatterplot B. Scatterplot AScatterplot BWhich of these statements is correct?

Question illustration
A
The trend line for scatterplot A will have a positive slope, and the trend line for scatterplot B will have a positive slope.
B
The trend line for scatterplot A will have a positive slope, and the trend line for scatterplot B will have a negative slope.
C
The trend line for scatterplot A will have a negative slope, and the trend line for scatterplot B will have a positive slope.
D
The trend line for scatterplot A will have a negative slope, and the trend line for scatterplot B will have a negative slope.
2
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Tanica drew a line of best fit on a scatterplot, as shown below. The equation of the line is . Using the line, she predicted that when the value of x is 0.5, the value of y will be approximately 7.6. What was her mistake?

Question illustration
A
She drew the line of best fit incorrectly.
B
She used the line of best fit to predict y for an incorrect value of x.
C
She forgot the minus sign before the first term on the right side of the equation when she predicted y.
D
She plugged 0.5 into the equation for y instead of x and actually predicted x instead of y.
3

Which trend line properly describes the data relationship in the scatterplot?

A
mc007-1.jpg
Option A
B
mc007-2.jpg
Option B
C
mc007-3.jpg
Option C
D
mc007-4.jpg
Option D
4

Which of the following scatterplots would have a trend line with a positive slope?

A
mc013-1.jpg
Option A
B
mc013-2.jpg
Option B
C
mc013-3.jpg
Option C
D
mc013-4.jpg
Option D
5

For which of these sets of data would all the points be displayed on a scatterplot if the window size on a regression calculator were set to ?

Question illustration
A
A 2-column table with 6 rows. Column 1 is labeled x with entries 6, 7, 9, 11, 13, 14. Column 2 is labeled y with entries 27, 33, 39, 49, 58, 71.
Option A
B
A 2-column table with 6 rows. Column 1 is labeled x with entries 6, 7, 9, 11, 13, 16. Column 2 is labeled y with entries 27, 33, 39, 49, 58, 71.
Option B
C
A 2-column table with 6 rows. Column 1 is labeled x with entries 27, 33, 39, 49, 58, 71. Column 2 is labeled y with entries 6, 7, 9, 11, 13, 14.
Option C
D
A 2-column table with 6 rows. Column 1 is labeled x with entries 27, 33, 39, 49, 58, 71. Column 2 is labeled y with entries 6, 7, 9, 11, 13, 16.
Option D
6

Which two points should the line of best fit go through to best represent the data in the scatterplot?

Question illustration
A
(1, 3) and (2, 7)
B
(1, 3) and (6, 13)
C
(3, 8) and (5, 12)
D
(5, 12) and (6, 13)
7

Which step comes last when using the divide-center method to find the trend line on a scatterplot?

A
Approximate the center of the cluster located on the left side of the line, and repeat for the right side of the line.
B
Connect the two centers to produce the trend line.
C
Disregard all outliers.
D
Draw a vertical line so that each side has the same number of data points.
8

Which two points should the line of best fit go through to best represent the data in the scatterplot?

Question illustration
A
(1, 16) and (2, 15)
B
(1, 16) and (6, 1)
C
(2, 15) and (4, 9)
D
(5, 8) and (6, 1)
9

In which scatterplot is the vertical line placed correctly when using the divide-center method to find the regression line?

A
On a graph, points are grouped together and increase. A vertical dotted line goes through the points. There are 7 points to the left of the line, and 3 points to the right.
Option A
B
On a graph, points are grouped together and increase. A vertical dotted line goes through the points. There are 4 points to the left of the line, and 6 points to the right.
Option B
C
On a graph, points are grouped together and increase. A vertical dotted line goes through the points. There are 6 points to the left of the line, and 4 points to the right.
Option C
D
On a graph, points are grouped together and increase. A vertical dotted line goes through the points. There are 5 points to the left of the line, and 5 points to the right.
Option D
10

The table and scatterplot show the additional plant growth measured each day for particular days. Which two points should the trend line go through to best represent the data given in this scatterplot?Time (days)Growth(inches)2131.542.75526283101.75

Question illustration
A
(2, 1) and (3, 1.5)
B
(2, 1) and (5, 2)
C
(6, 2) and (8, 2)
D
(6, 2) and (10,1.75)

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