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7.02 Fitting functions to data

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

A computer program compares and orders the marks of all students who sit an exam. The time taken ($T$T, in milliseconds) for the program to completely order all students ($n$n) is plotted for different numbers of students.

Easy
< 1min

The scatter plot below shows the altitude and average annual temperature of ten randomly selected locations on Earth.

Easy
5min
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Outcomes

S.ID.B.6.A

Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models.

S.ID.C.7

Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.

S.ID.C.8

Compute (using technology) and interpret the correlation coefficient of a linear fit.

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