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7.03 Analyzing fitted functions

Adaptive
Worksheet

Interactive practice questions

The scatter plot below shows the time, in seconds, taken to sprint a quarter-mile by a runner who ran in different temperatures as part of a study. 

Loading Graph...

a

What is the correct interpretation of the data point with a temperature of $45$45$^\circ$°F?

When it was $45$45$^\circ$°F it took the runner $74$74 seconds to complete a quarter-mile.

A

When it was $45$45$^\circ$°F  the runner ran $75$75 yards.

B

When it was $45$45$^\circ$°F it took the runner $75$75 hours to complete a quarter-mile.

C

When it was $45$45$^\circ$°F it took the runner $75$75 seconds to complete a quarter-mile.

D
b

What is the correct interpretation of the data point at $45$45$^\circ$°F on the residual plot below?

Loading Graph...

The actual time to run a quarter-mile when it was $45$45$^\circ$°F was $2.625$2.625 seconds higher than the line of fit predicts.

A

The actual time to run a quarter-mile when it was $45$45$^\circ$°F was $2.625$2.625 seconds lower than the line of fit predicts.

B
Medium
1min

The first two rows of the following table show a set of data points $\left(x,y\right)$(x,y). The third row shows the corresponding $y$y-values predicted by the regression line at those $x$x-coordinates.

Easy
< 1min

The first two rows of the following table show a set of data points $\left(x,y\right)$(x,y). The third row shows the corresponding $y$y-values predicted by the regression line at those $x$x-coordinates.

Easy
< 1min

A scatter plot and regression line have been created for a data set, as shown below.

Medium
< 1min
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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.B.6.B

Informally assess the fit of a function by plotting and analyzing residuals.

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.

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