AnswersFL-1200340-Algebra 2 HonorsScatterplots

Scatterplots Answers

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A scatterplot is used to display data where x is the amount of time, in minutes, one member can tolerate the heat in a sauna, and y is the temperature, in degrees Fahrenheit, of the sauna. Which interpretation describes a line of best fit of y = –1.5x + 173 for the data?

A
The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.
B
The amount of time the member can tolerate the heat in a sauna is 173 minutes.
C
The time increased 1.5 minutes for every degree Fahrenheit the temperature increased.
D
The time decreased 1.5 minutes for every degree Fahrenheit the temperature decreased.
2
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The scatterplot shows the number of athletes on the field hockey and tennis teams at Southern High School during seven different years. Which statement is best supported by the line of best fit?

Question illustration
A
When there are 65 field hockey players, there will be about 40 tennis players.
B
When there are 20 field hockey players, there will be about 20 tennis players.
C
When there are 10 field hockey players, there will be about 35 tennis players.
D
When there are 40 field hockey players, there will be about 25 tennis players.
3

The line of best fit for the scatterplot below passes through which pair of points?

Question illustration
A
P and Q
B
S and T
C
R and Q
D
S and Q
4

The table below shows the lengths and weights of six dolphins at an aquarium. Use the data from Pax and Snowflake to create a linear model that predicts the weight (y) of a dolphin given its length (x). Which dolphin’s weight differs most from the value predicted by this model?NameLength (ft)Weight (lb)Snowflake8.2549Shadow7.4501Corky8.4557Pax7.6519JoJo5.8460Blaze6.8488

A
Blaze
B
JoJo
C
Corky
D
Shadow
5

Kyle believes that the equation of the line of best fit for the scatterplot below is . Which statement best summarizes why Kyle is incorrect?

Question illustration
A
Kyle’s equation has a negative y-intercept, but the scatterplot shows a point on the y-axis with a positive y-value.
B
Kyle’s equation has a negative y-intercept, but the scatterplot shows a positive correlation.
C
Kyle’s equation has a negative slope, but the scatterplot shows a point on the y-axis with a positive y-value.
D
Kyle’s equation has a negative slope, but the scatterplot shows a positive correlation.
6

Marta believes that the equation of the line of best fit for the scatterplot below is . Which statement best summarizes why Marta is likely incorrect?

Question illustration
A
Marta’s equation has a positive y-intercept, but the scatterplot suggests a negative y-intercept.
B
Marta’s equation has a positive y-intercept, but the scatterplot shows a negative correlation.
C
Marta’s equation has a negative slope, but the scatterplot suggests a negative y-intercept.
D
Marta’s equation has a negative slope, but the scatterplot shows a positive correlation.
7

For several years, Graham has gathered data on students who own a computer and on their performance on a typing-speed test. He creates the linear model y = 3.8x + 17.4 where y represents the typing speed, in words per minute, of a student and x represents the number of years the student has owned a computer. According to Graham’s model, what is the approximate speed of a student who has owned a computer for three years?

A
21 words/min
B
29 words/min
C
56 words/min
D
64 words/min
8

Which scatterplot has a correlation coefficient closest to r = 1?

A
mc022-1.jpg
Option A
B
mc022-2.jpg
Option B
C
mc022-3.jpg
Option C
D
mc022-4.jpg
Option D
9

The scatterplot shows the number of guests who visited a hotel pool and the temperature on those days. Estimate the location of the line of best fit. About how many guests will visit the pool when the temperature is 85°F?

Question illustration
A
26 guests
B
33 guests
C
41 guests
D
44 guests
10

Irina plotted the number of participants in a summer camp program on a coordinate plane to create the following scatterplot. Which graph shows the line of best fit for this scatterplot?

Question illustration
A
mc015-2.jpg
Option A
B
mc015-3.jpg
Option B
C
mc015-4.jpg
Option C
D
mc015-5.jpg
Option D

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