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

Drawing Trend Lines Answers

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1
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Serena says that if a regression line is drawn correctly in a scatterplot, there will always be the same number of points above the line as there are below the line. Which of these must be a counterexample to her claim?

A
a scatterplot with an odd number of points in which the correct regression line passes directly through 0 of the points
B
a scatterplot with an even number of points in which the correct regression line passes directly through 0 of the points
C
a scatterplot with an odd number of points in which the correct regression line passes directly through 1 of the points
D
a scatterplot with an even number of points in which the correct regression line passes directly through 2 of the points
2
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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
3

Which of the following scatterplots do not show a clear relationship and would not have a trend line?

A
mc003-1.jpg
Option A
B
mc003-2.jpg
Option B
C
mc003-3.jpg
Option C
D
mc003-4.jpg
Option D
4

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.
5

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.
6

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)
7

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

A
mc002-1.jpg
Option A
B
mc002-2.jpg
Option B
C
mc002-3.jpg
Option C
D
mc002-4.jpg
Option D
8

When a trend line is drawn on a scatterplot, there are 4 points above the trend line. About how many points should be below the trend line?

A
0
B
2
C
4
D
8
9

Which statement is true about a trend line?

A
A regression line and a trend line are opposite terms.
B
A regression line and trend line are equivalent terms.
C
A trend line represents only the smallest data points.
D
A trend line represents only the largest data points.
10

Which scatterplot shows the correct division for using the Divide-Center of Data method to draw the trend line?

A
mc004-1.jpg
Option A
B
mc004-2.jpg
Option B
C
mc004-3.jpg
Option C
D
mc004-4.jpg
Option D

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