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Read the following description of a data set. $\newline$ A software developer is looking for ways to predict how many bugs will appear in future projects. He used a bug-tracking database to analyze several recent projects.From the database, he recorded the number of lines of code for each project, $x$ . He also looked up the number of bugs that had been found in each project's code, $y$ .The least squares regression line of this data set is: $y = 0.048x - 460.924$ $\newline$ Complete the following sentence: $\newline$ For each additional line of code, the least squares regression line predicts ___ more bugs would be found in that project.

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Interpret regression lines

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Q. Read the following description of a data set.

\newline

A software developer is looking for ways to predict how many bugs will appear in future projects. He used a bug-tracking database to analyze several recent projects.From the database, he recorded the number of lines of code for each project,

x

. He also looked up the number of bugs that had been found in each project's code,

y

.The least squares regression line of this data set is:

y = 0.048x - 460.924

\newline

Complete the following sentence:

\newline

For each additional line of code, the least squares regression line predicts ___ more bugs would be found in that project.

Identify the slope: Identify the slope of the least squares regression line. $\newline$ The equation given is $y = 0.048x - 460.924$ . The slope of the least squares regression line is the coefficient of $x$ , which is $0.048$ . This slope represents the change in the number of bugs ( $y$ ) for each additional line of code ( $x$ ).
Interpret the slope: Interpret the slope. $\newline$ Since the slope is $0.048$ , this means that for each additional line of code, the least squares regression line predicts that $0.048$ more bugs would be found in that project.

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