AnswersMathematics 8Drawing Trend Lines

Drawing Trend Lines — Quiz Answers

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1
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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
4
B
0
C
8
D
2
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
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 14 in increments of 2. The y axis ranges from 0 to 7 in increments of 1. There is a point at (1 comma 1). There is a point at (1 point 5 comma 2). There is a point at (3 point 5 comma 2 point 5). There is a point at (4 comma 3). There is a point at (5 comma 3 point 5). There is a point at (6 point 5 comma 4). There is a point at (7 comma 5). There is a point at (8 comma 5). There is a point at (9 point 5 comma 5 point 5). There is a point at (10 comma 6). A vertical line is 5 point 7 5 units to the right of the y axis.
B
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 14 in increments of 2. The y axis ranges from 0 to 7 in increments of 1. There is a point at (1 comma 1). There is a point at (1 point 5 comma 2). There is a point at (3 point 5 comma 2 point 5). There is a point at (4 comma 3). There is a point at (5 comma 3 point 5). There is a point at (6 point 5 comma 4). There is a point at (7 comma 5). There is a point at (8 comma 5). There is a point at (9 point 5 comma 5 point 5). There is a point at (10 comma 6). A vertical dashed line is 7 point 5 units to the right of the y axis.
C
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 14 in increments of 2. The y axis ranges from 0 to 7 in increments of 1. There is a point at (1 comma 1). There is a point at (1 point 5 comma 2). There is a point at (3 point 5 comma 2 point 5). There is a point at (4 comma 3). There is a point at (5 comma 3 point 5). There is a point at (6 point 5 comma 4). There is a point at (7 comma 5). There is a point at (8 comma 5). There is a point at (9 point 5 comma 5 point 5). There is a point at (10 comma 6). A vertical dashed line is 4 point 5 units to the right of the y axis.
D
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 14 in increments of 2. The y axis ranges from 0 to 7 in increments of 1. There is a point at (1 comma 1). There is a point at (1 point 5 comma 2). There is a point at (3 point 5 comma 2 point 5). There is a point at (4 comma 3). There is a point at (5 comma 3 point 5). There is a point at (6 point 5 comma 4). There is a point at (7 comma 5). There is a point at (8 comma 5). There is a point at (9 point 5 comma 5 point 5). There is a point at (10 comma 6). A vertical dashed line is 6 point 7 5 units to the right of the y axis.
3

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

A
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 7 in increments of 1. The y axis ranges from 0 to 7 in increments of 1. There is a point at (1 point 5 comma 3). There is a point at (3 comma 5). There is a point at (3 point 5 comma 3 point 5). There is a point at (4 comma 5). There is a point at (5 comma 4). There is a point at (5 point 5 comma 6). A line passes through (0 comma 2 point 5), and (4 comma 4 point 5).
B
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 7 in increments of 1. The y axis ranges from 0 to 7 in increments of 1. There is a point at (1 point 5 comma 3). There is a point at (3 comma 5). There is a point at (3 point 5 comma 3 point 5). There is a point at (4 comma 5). There is a point at (5 comma 4). There is a point at (5 point 5 comma 6). A line passes through (2 comma 4) and (5 comma 6).
C
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 7 in increments of 1. The y axis ranges from 0 to 7 in increments of 1. There is a point at (1 point 5 comma 3). There is a point at (3 comma 5). There is a point at (3 point 5 comma 3 point 5). There is a point at (4 comma 5). There is a point at (5 comma 4). There is a point at (5 point 5 comma 6). A line passes close to (2 comma 2) and close to (5 comma 5).
D
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 7 in increments of 1. The y axis ranges from 0 to 7 in increments of 1. There is a point at (1 point 5 comma 3). There is a point at (3 comma 5). There is a point at (3 point 5 comma 3 point 5). There is a point at (4 comma 5). There is a point at (5 comma 4). There is a point at (5 point 5 comma 6). A line passes through (1 comma 2) and (5 comma 4).
4

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 5 is less than or equal to x comma x is less than or equal to 15 ; 25 is less than or equal to y comma y is less than or equal to 75 ?

A
Table with 2 columns and 7 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '6'; Column 2, '27' Row 3: Column 1, '7'; Column 2, '33' Row 4: Column 1, '9'; Column 2, '39' Row 5: Column 1, '11'; Column 2, '49' Row 6: Column 1, '13'; Column 2, '58' Row 7: Column 1, '16'; Column 2, '71'
B
Table with 2 columns and 7 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '27'; Column 2, '6' Row 3: Column 1, '33'; Column 2, '7' Row 4: Column 1, '39'; Column 2, '9' Row 5: Column 1, '49'; Column 2, '11' Row 6: Column 1, '58'; Column 2, '13' Row 7: Column 1, '71'; Column 2, '16'
C
Table with 2 columns and 7 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '27'; Column 2, '6' Row 3: Column 1, '33'; Column 2, '7' Row 4: Column 1, '39'; Column 2, '9' Row 5: Column 1, '49'; Column 2, '11' Row 6: Column 1, '58'; Column 2, '13' Row 7: Column 1, '71'; Column 2, '14'
D
Table with 2 columns and 7 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '6'; Column 2, '27' Row 3: Column 1, '7'; Column 2, '33' Row 4: Column 1, '9'; Column 2, '39' Row 5: Column 1, '11'; Column 2, '49' Row 6: Column 1, '13'; Column 2, '58' Row 7: Column 1, '14'; Column 2, '71'
5

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

A
Image with description A 2 column table of values has labels x sub one and y sub one. There is a table entry 1 and 4 point 5. There is a table entry 1 point 5 and 5 point 5. There is a table entry 2 and 4 point 2 5. There is a table entry 2 point 5 and 5. There is a table entry 3 and 3 point 7 5. There is a table entry 3 point 5 and 3 point 5. There is a table entry 3 point 5 and 4 point 2 5. To the right of the table, a scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 5 in increments of 1. The y axis ranges from 0 to 5 in increments of 1. Each of the table entries are plotted as an ordered pair
B
Image with description A 2 column table of values has labels x sub one and y sub one. There is a table entry 1 and 0 point 5. There is a table entry 1 point 5 and 1 point 5. There is a table entry 2 and 2 point 2 5. There is a table entry 2 point 5 and 2 point 2 5. There is a table entry 2 and 1 point 5. There is a table entry 0 point 5 and 0 point 7 5. There is a table entry 0 point 7 5 and 1. To the right of the table, a scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 5 in increments of 1. The y axis ranges from 0 to 5 in increments of 1. There is a data point corresponding to each table entry.
C
Image with description A 2 column table of values has labels x sub one and y sub one. There is a table entry 1 and 2 point 5. There is a table entry 1 point 5 and 3 point 5. There is a table entry 2 and 1 point 2 5. There is a table entry 2 point 5 and 0 point 2 5. There is a table entry 3 and 3. There is a table entry 3 point 5 and 1 point 5. There is a table entry 3 point 5 and 1 point 7 5. To the right of the table, a scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 5 in increments of 1. The y axis ranges from 0 to 5 in increments of 1. Each of the table entries are plotted as an ordered pair.
D
Image with description A 2 column table of values has labels x sub one and y sub one. There is a table entry 1 and 2 point 5. There is a table entry 1 point 5 and 3 point 5. There is a table entry 2 and 1 point 2 5. There is a table entry 2 point 5 and 1 point 2 5. There is a table entry 2 and 0 point 5. There is a table entry 0 point 5 and 3 point 7 5. There is a table entry 0 point 7 5 and 3 point 5. To the right of the table, a scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 5 in increments of 1. The y axis ranges from 0 to 5 in increments of 1. Each of the table entries are plotted as an ordered pair.
6

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

A
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 12 in increments of 1. The y axis ranges from 0 to 6 in increments of 1. There is a point at (2 comma 4). There is a point at (4 comma 4 point 2). There is a point at (6 comma 5 point 2). There is a point at (8 comma 3 point 2). There is a point at (10 comma 2 point 1). There is a point at (12 comma 2). A vertical line segment starts at (7 comma 1) and ends at (7 comma 6).
B
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 12 in increments of 1. The y axis ranges from 0 to 6 in increments of 1. There is a point at (2 comma 4). There is a point at (4 comma 4 point 2). There is a point at (6 comma 5 point 2). There is a point at (8 comma 3 point 2). There is a point at (10 comma 2 point 1). There is a point at (12 comma 2). A vertical line segment starts at (5 comma 1) and ends at (5 comma 6).
C
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 12 in increments of 1. The y axis ranges from 0 to 6 in increments of 1. There is a point at (2 comma 4). There is a point at (4 comma 4 point 2). There is a point at (6 comma 5 point 2). There is a point at (8 comma 3 point 2). There is a point at (10 comma 2 point 1). There is a point at (12 comma 2). A vertical line segment starts at (3 comma 1) and ends at (3 comma 6).
D
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 12 in increments of 1. The y axis ranges from 0 to 6 in increments of 1. There is a point at (2 comma 4). There is a point at (4 comma 4 point 2). There is a point at (6 comma 5 point 2). There is a point at (8 comma 3 point 2). There is a point at (10 comma 2 point 1). There is a point at (12 comma 2). A vertical line segment starts at (1 comma 1) and ends at (1 comma 6).
7

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
Draw a vertical line so that each side has the same number of data points.
C
Disregard all outliers.
D
Connect the two centers to produce the trend line.
8

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

A
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 10 in increments of 1. The y axis ranges from 0 to 10 in increments of 1. There is a point at (2 comma 3 point 5). There is a point at (3 comma 3 point 9). There is a point at (3 comma 5). There is a point at (5 comma 4 point 2). There is a point at (6 comma 6). There is a point at (8 comma 5). There is a point at (10 comma 6 point 5). A line passes through (0 comma 5 point 8) and (10 comma 5 point 8).
B
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 10 in increments of 1. The y axis ranges from 0 to 10 in increments of 1. There is a point at (2 comma 3 point 5). There is a point at (3 comma 3 point 9). There is a point at (4 comma 5). There is a point at (5 comma 4 point 2). There is a point at (6 comma 6). There is a point at (8 comma 5). There is a point at (10 comma 6 point 5). A line passes through (3 comma 3 point 9) and (10 comma 6 point 5).
C
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 10 in increments of 1. The y axis ranges from 0 to 10 in increments of 1. There is a point at (2 comma 3 point 5). There is a point at (3 comma 3 point 9). There is a point at (3 comma 5). There is a point at (5 comma 4 point 2). There is a point at (6 comma 6). There is a point at (8 comma 5). There is a point at (10 comma 6 point 5). A line passes through (4 comma 6) and (10 comma 3).
D
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 10 in increments of 1. The y axis ranges from 0 to 10 in increments of 1. There is a point at (2 comma 3 point 5). There is a point at (3 comma 3 point 9). There is a point at (3 comma 5). There is a point at (5 comma 4 point 2). There is a point at (6 comma 6). There is a point at (8 comma 5). There is a point at (10 comma 6 point 5). A line passes through (0 comma 5 point 8) and (10 comma 5 point 8).
9

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 even number of points in which the correct regression line passes directly through 2 of the points
D
a scatterplot with an odd number of points in which the correct regression line passes directly through 1 of the points
10

Which two points should the trend line go through to best represent the data given in this scatterplot?

A
open paren 2 comma 1 close paren and open paren 5 comma 2 close paren
B
open paren 6 comma 2 close paren and open paren 8 comma 2 close paren
C
open paren 6 comma 2 close paren and open paren 10 comma 1 point 7 5 close paren
D
open paren 2 comma 1 close paren and open paren 3 comma 1 point 5 close paren

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