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Drawing Trend Lines Answers

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
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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)
3

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
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

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

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
7

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
8

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.
9

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

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

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