Scatterplots

Question 1

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)

Revolt · Accepted Answer

Graph A, Set A

Question 2

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.

Revolt · Accepted Answer

About 67.5 inches

Question 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. How well does the line fit the data?

Revolt · Accepted Answer

Except for (6, 15), the line fits the data fairly well.

Question 4

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.

Revolt · Accepted Answer

Positive linear trend, not an exact linear fit.

Question 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?

Revolt · Accepted Answer

line of best fit, used to represent the linear trend in the data

Question 6

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.

Revolt · Accepted Answer

424,550,000

Question 7

Choose the correct statement about best-fit lines.

Revolt · Accepted Answer

A best-fit line is close to most of the data points.

Question 8

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.

Revolt · Accepted Answer

; about 400 milk cow operations in the year 2005

Question 9

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?

Revolt · Accepted Answer

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%.

Question 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?

Revolt · Accepted Answer

The smaller the error, the better the fit.

Scatterplots Answers

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