AnswersEF Math 12 1st Nine WeeksScatterplots

Scatterplots Answers

19 verified answers
1
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Choose the correct statement about best-fit lines.

A
A best-fit line is close to most of the data points.
B
A best-fit line describes the exact coordinates of each point in the data set.
C
A best-fit line always has a positive slope.
D
A best-fit line must go through at least two of the data points.
2
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The table below shows the scoring averages for the players on the Supersonics intramural basketball team last season. Age of Player Scoring Average 19 2 14 8 16 6 18 10 15 12 10 15.5 17 6 11 4 14 2 Using the data from the table, choose which set of axes and which set of ordered pairs you would use to plot the data. Graph A Graph B Set A (19, 2), (14, 8), (16, 6), (18, 10), (15, 12), (10, 15.5), (17, 6), (11, 4), (14, 2) Set B (2, 19), (8, 14), (6, 16), (10, 18), (12, 15), (15.5, 10), (6, 17), (4, 11), (2, 14)

Question illustration
A
Graph B, Set A
B
Graph B, Set B
C
Graph A, Set A
D
Graph A, Set B
3

The table below shows the average SAT math scores from 1993-2002. Year SAT math scores 1993 503 1994 504 1995 506 1996 508 1997 511 1998 512 1999 511 2000 514 Using the data from the table, choose which set of axes and which set of ordered pairs you would use to plot the data. Graph A Graph B Set A (1993, 503), (1994, 504), (1995, 506), (1996, 508), (1997, 511), (1998, 512), (1999, 511), (2000, 514) Set B (503, 1993), (504, 1994), (506, 1995), (508, 1996), (511, 1997), (512, 1998), (511, 1999), (514, 2000)

Question illustration
A
Graph B, Set A
B
Graph B, Set B
C
Graph A, Set A
D
Graph A, Set B
4

The following table shows the appraised value of a house over time. Age (years) Value (thousands) 0 140 3 148 6 160 9 162 12 185 15 178 18 194 Using the data from the table, choose which set of axes and which set of ordered pairs you would use to plot the data. Graph A Graph B Set A (140, 0), (148, 3), (160, 6), (162, 9), (185, 12), (178, 15), (194, 18) Set B (0, 140), (3, 148), (6, 160), (9, 162), (12, 185), (15, 178), (18, 194)

Question illustration
A
Graph A, Set A
B
Graph B, Set A
C
Graph A, Set B
D
Graph B, Set B
5

When data is displayed with a scatter plot, it is often useful to attempt to represent that data with the equation of a straight line. What is this line called and what is its purpose?

A
slope, used to determine if a line represents a linear equation
B
correlation, used to determine if a line represents a linear equation
C
line of best fit, used to represent the linear trend in the data
D
quadrant, used to represent the linear trend in the data
6

The table below shows the average SAT math scores from 1993-2002. YearSAT math scores19935031994504199550619965081997511199851219995112000514Using the data from the table determine if there is a linear trend between the year and the average SAT math scores and determine if there is an exact linear fit of the data. Describe the linear trend if there is one.

A
Positive linear trend, an exact linear fit.
B
Positive linear trend, not an exact linear fit.
C
Negative linear trend, not an exact linear fit.
D
Negative linear trend, an exact linear fit.
7

The following is a scatter plot of the heights and weights of the students in Mr. Baldwin’s PE class. Given the line of best fit, estimate the height of a student who weighs 146 pounds.

Question illustration
A
About 67.5 inches
B
About 65 inches
C
About 72 inches
D
About 72.5 inches
8

The table below shows the approximate percent of students who sent applications to two colleges in various years since 1985. Years Since 1985 0 3 6 9 12 15 Percent 20 18 15 15 14 13 The scatter plot below is a representation of the table of data above. How well does the line fit the data?

Question illustration
A
Except for (6, 15), the line fits the data fairly well.
B
The line fits the data fairly well.
C
The line does not fit the data.
D
There is not enough information to tell if the line fits the data well.
9

The following scatter plot shows the billions of dollars spent by travelers in the United States since 1993. Write an equation for the line of best fit and then predict how much money travelers will spend in 2008.

Question illustration
A
; travelers will spend about $410 billion in the year 2008.
B
; travelers will spend about $350 billion in the year 2008.
C
; travelers will spend about $620 billion in the year 2008.
D
; travelers will spend about $680 billion in the year 2008.
10

A line that is used to represent the linear trend in the data is called the line of best fit. When finding the error of the line of best fit, which statement holds true?

A
If the error is less than one, the line of best fit is the linear equation of the data.
B
The smaller the error, the better the fit.
C
If the error is greater than one, there is no correlation to the line of best fit.
D
The larger the error, the better the fit.
11

The scatter plot shows the number of milk cow operations in New Mexico from 1975 to 1995. Write an equation for the line of best fit. Then predict the number of milk cow operations in the year 2005.

Question illustration
A
; about 1885 milk cow operations in the year 2005
B
; about 400 milk cow operations in the year 2005
C
; about 1400 milk cow operations in the year 2005
D
; about 250 milk cow operations in the year 2005 Please select the best answer from the choices provide
12

The following is a scatter plot of the heights and weights of the students in Mr. Baldwin’s PE class. Given the line of best fit, estimate the height of a student who weighs 146 pounds.

Question illustration
A
About 67.5 inches
B
About 65 inches
C
About 72 inches
D
About 72.5 inches
13

Years Since 1985

Question illustration
A
A
B
B
C
C
D
D
14

The table below gives a record of the funds raised by a TV station since its first year of operations. Draw a scatter plot for the data. Year 1 3 5 8 11 14 Contributions ($ thousands) 70,000 150,000 190,000 230,000 270,000 290,000 a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
15

The following scatter plot shows the billions of dollars spent by travelers in the United States since 1993. Write an equation for the line of best fit and then predict how much money travelers will spend in 2008.

Question illustration
A
; travelers will spend about $410 billion in the year 2008.
B
; travelers will spend about $350 billion in the year 2008.
C
; travelers will spend about $620 billion in the year 2008.
D
; travelers will spend about $680 billion in the year 2008.
16

Year

Question illustration
A
A
B
B
C
C
D
D
17

Choose the correct statement about best-fit lines.

A
A best-fit line is close to most of the data points.
B
A best-fit line describes the exact coordinates of each point in the data set.
C
A best-fit line always has a positive slope.
D
A best-fit line must go through at least two of the data points.
18

Year

A
A
B
B
C
C
D
D
19

A line that is used to represent the linear trend in the data is called the line of best fit. When finding the error of the line of best fit, which statement holds true?

A
If the error is less than one, the line of best fit is the linear equation of the data.
B
The smaller the error, the better the fit.
C
If the error is greater than one, there is no correlation to the line of best fit.
D
The larger the error, the better the fit.

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