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5.09 Fitted functions

Adaptive
Worksheet

Interactive practice questions

Consider the data shown in the table.

$x$x $7$7 $12$12 $17$17 $22$22 $27$27 $32$32 $37$37
$y$y $29$29 $28$28 $27$27 $31$31 $15$15 $14$14 $3$3
a

Create a scatter plot for the data set.

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b

Some different linear functions are plotted alongside the data points.

Which of the following functions best fits that data?

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A

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B

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C

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D
c

Using the line of best fit found in the previous part, which of the following $y$y-values is most reasonable to expect when $x=23$x=23?

$y=25$y=25

A

$y=15$y=15

B

$y=10$y=10

C

$y=20$y=20

D
Easy
1min

Consider the data shown in the table.

Easy
1min

The average monthly temperature and the average wind speed in a particular location was plotted over several months. The graph shows the points for each month’s data and their line of  best fit.

Easy
< 1min

The scatter diagram shows the number of restaurants in a city over time.

Easy
< 1min
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Outcomes

M1.N.Q.A.1

Use units as a way to understand real-world problems.*

M1.N.Q.A.1.A

Choose and interpret the scale and the origin in graphs and data displays.*

M1.N.Q.A.1.C

Define and justify appropriate quantities within a context for the purpose of modeling.*

M1.S.ID.A.1

Represent data from two quantitative variables on a scatter plot, and describe how the variables are related. Fit a function to the data; use functions fitted to data to solve problems in the context of the data.*

M1.S.ID.B.2

Interpret the rate of change and the constant term of a linear model in the context of data.*

M1.S.ID.B.3

Use technology to compute the correlation coefficient of a linear model; interpret the correlation coefficient in the context of the data.*

M1.MP2

Reason abstractly and quantitatively.

M1.MP3

Construct viable arguments and critique the reasoning of others.

M1.MP4

Model with mathematics.

M1.MP5

Use appropriate tools strategically.

M1.MP6

Attend to precision.

M1.MP7

Look for and make use of structure.

M1.MP8

Look for and express regularity in repeated reasoning.

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