9.07 Analyzing lines of fit using residuals
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.
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.
When it was $45$45$^\circ$°F the runner ran $75$75 yards.
When it was $45$45$^\circ$°F it took the runner $75$75 hours to complete a quarter-mile.
When it was $45$45$^\circ$°F it took the runner $75$75 seconds to complete a quarter-mile.
What is the correct interpretation of the data point at $45$45$^\circ$°F on the residual plot below?
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.
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.
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.
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.
A scatter plot and regression line have been created for a data set, as shown below.