Scatterplots Answers

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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 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.
3

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. A regression equation for this line is What do the slope and y-intercept indicate?

Question illustration
A
The slope indicates that the percent in 1985 should have been about 19%. The y-intercept indicates that the percent is falling at about 0.4% each year.
B
The slope indicates that the percent is falling at about 0.4% each year. The y-intercept indicates the percent in 1985 should have been about 19%.
C
The slope indicates tha the percent has remained the same for each year. The y-intercept indicates the percent in 1985 should have been 22%.
D
There is not enough information to determine what the slope and y-intercept indicate.
4

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.
6

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
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 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.
12

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
13

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
14

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
15

The table below shows the amount of money spent on skin diving and scuba equipment in some recent years. Skin Diving and Scuba Equipment Year Sales ($millions) 1993 315 1994 322 1995 328 1996 340 1998 345 1999 363 Let x represent the year and y represent the amount of sales, in millions of dollars, in the regression equation. , Use the regression equation to predict the sales of skin diving and scuba equipment in the year 2008.

Question illustration
A
44,000,000
B
440,000,000
C
42,455,000
D
424,550,000
18

The following table shows the appraised value of a house over time.Age (years)Value (thousands)0140314861609162121851517818194Using the data from the table determine if there is a linear trend between the age of a house and its value and determine if there is an exact linear fit of the data. Describe the linear trend if there is one.

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

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Scatterplots Answers — EF Math 12 1st Nine Weeks