AnswersWHS Pre-Algebra - MA3119 B-CRTopic Test

Drawing Trend Lines Answers

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1
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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.
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

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
4

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
5

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.
6

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
7

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
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 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)
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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