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

Drawing Trend Lines Answers

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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
11

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
12

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

A
On a graph, a trend line has a positive slope. There are 4 points above the line, and 2 points below.
Option A
B
On a graph, a trend line has a positive slope. There is 1 point above the line, and 5 points below.
Option B
C
On a graph, a trend line has a positive slope. There are 3 points above the line, and 3 points below.
Option C
D
On a graph, a trend line has a positive slope. There are 5 points above the line, and 1 point below.
Option D
13

The table shows the weight of a dog in pounds at various ages in months.Age vs. Weight of a DogAge in monthsWeight in pounds3245678109111215What values should be entered for x and y into a regression calculator to find the equation of the trend line?

A
x: 3, 4, 6, 8, 9, 12y: 2, 5, 7, 10, 11, 15
B
x: 3, 4, 6, 8, 9, 15y: 2, 5, 7, 10, 11, 12
C
x: 2, 5, 7, 10, 11, 15y: 3, 4, 6, 8, 9, 12
D
x: 2, 5, 7, 10, 11, 12y: 3, 4, 6, 8, 9, 15
14

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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