Solve the Problem Use the Data to Find the Least-Squares Regression Line

question 380

Multiple Choice

Solve the problem.
-The data in the table shows the number of violent crimes in a certain city in the even years since 2000. $\begin{array}{c|c}\begin{array}{c}\text { Years Since } \\\mathbf{2 0 0 0}(\boldsymbol{x}) \end{array} & \begin{array}{c}\text { Number of } \\\text { Violent Crimes (y) }\end{array} \\\hline 0 & 19 \\\hline 2 & 33 \\\hline 4 & 43 \\\hline 6 & 46 \\\hline 8 & 57 \\\hline 10 & 63 \\\hline 12 & 78\end{array}$

Use the data to find the least-squares regression line. Round the slope and $y$ -intercept to 1 decimal pl Use the model to approximate the number of violent crimes in the city in $2005 .$

• A) \(y = 4.1 x + 20.9\); approximately \(44.5\)
• B) \(y = 4.4 x + 22.3\); approximately \(44.3\)
• C) \(y = 4.8 x + 22.1\); approximately \(46.1\)
• D) \(y = 4.5 x + 21.5\); approximately \(44.0\) lace.