Answers2025-2026 TPS CR Algebra 1 BConstructing Scatterplots

Using Equations to Represent 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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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)
3

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
4

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)
5

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.
6

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
7

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
8

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
9

A bookstore tracked the data of the weight of their deliveries and the number of books in each box. They created a scatterplot and trend line based on the data. Which statement would be a reasonable prediction based on the scatterplot and trend line?

Question illustration
A
A box with 10 books should weigh about 2 pounds.
B
A box with 10 books should weigh about 4 pounds.
C
A box with 10 books should weigh about 6 pounds.
D
A box with 10 books should weigh about 12 pounds.
10

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

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