Linear Regression Application, Interpolation and Extrapolation Use the data and story to answer the following questions The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 1 11.5 y 13.9 10.9 9.9 | 6.6 6.1 | 6.2 | 6.3 4.8 8.3 6.6 3.4 2.5 2.7 2.6 0.5 z = thousands of automatic weapons y = murders per 100,000 residents Use your calculator to determine the equation of the regression line. (Round to 2 decimal places) Determine the regression equation in y = ax + b form and write it below. A) How many murders per 100,000 residents can be expected in a state with 2.6 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 9.7 thousand automatic weapons? Round to 3 decimal places. Answer =

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Linear Regression Application, Interpolation and Extrapolation

Use the data and story to answer the following questions

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.

\[
\begin{array}{|c|c|c|c|c|c|c|c|}
\hline
x & 11.5 & 8.3 & 6.6 & 3.4 & 2.5 & 2.7 & 2.6 & 0.5 \\
\hline
y & 13.9 & 10.9 & 9.9 & 6.6 & 6.1 & 6.1 & 6.3 & 4.8 \\
\hline
\end{array}
\]

\( x = \) thousands of automatic weapons

\( y = \) murders per 100,000 residents

Use your calculator to determine the equation of the regression line. (Round to 2 decimal places)

Determine the regression equation in \( y = ax + b \) form and write it below.

\[ 
\text{Equation:} 
\]

A) How many murders per 100,000 residents can be expected in a state with 2.6 thousand automatic weapons?

Answer = ________ Round to 3 decimal places.

B) How many murders per 100,000 residents can be expected in a state with 9.7 thousand automatic weapons?

Answer = ________ Round to 3 decimal places.
Transcribed Image Text:Linear Regression Application, Interpolation and Extrapolation Use the data and story to answer the following questions The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. \[ \begin{array}{|c|c|c|c|c|c|c|c|} \hline x & 11.5 & 8.3 & 6.6 & 3.4 & 2.5 & 2.7 & 2.6 & 0.5 \\ \hline y & 13.9 & 10.9 & 9.9 & 6.6 & 6.1 & 6.1 & 6.3 & 4.8 \\ \hline \end{array} \] \( x = \) thousands of automatic weapons \( y = \) murders per 100,000 residents Use your calculator to determine the equation of the regression line. (Round to 2 decimal places) Determine the regression equation in \( y = ax + b \) form and write it below. \[ \text{Equation:} \] A) How many murders per 100,000 residents can be expected in a state with 2.6 thousand automatic weapons? Answer = ________ Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 9.7 thousand automatic weapons? Answer = ________ Round to 3 decimal places.
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