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

Question 237

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.  Years Since 2000(x)  Number of  Violent Crimes (y)  01923344364685710631278\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 yy -intercept to 1 decimal pl Use the model to approximate the number of violent crimes in the city in 2005.2005 .


A) y=4.1x+20.9y = 4.1 x + 20.9 ; approximately 44.544.5
B) y=4.4x+22.3y = 4.4 x + 22.3 ; approximately 44.344.3
C) y=4.8x+22.1y = 4.8 x + 22.1 ; approximately 46.146.1
D) y=4.5x+21.5y = 4.5 x + 21.5 ; approximately 44.044.0 lace.

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