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. * 11.5 y 13.8 11.4 2.8 2.3 2.2 0.5 8.3 6.7 9.5 6.8 6.7 5.8 5.6 4.5 3.4 * = 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 9.8 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 10.1 thousand automatic weapons?
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. * 11.5 y 13.8 11.4 2.8 2.3 2.2 0.5 8.3 6.7 9.5 6.8 6.7 5.8 5.6 4.5 3.4 * = 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 9.8 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 10.1 thousand automatic weapons?
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Question
![**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.
\[
\begin{array}{|c|c|c|c|c|c|c|c|}
\hline
x & 11.5 & 8.3 & 6.7 & 3.4 & 2.8 & 2.3 & 2.2 & 0.5 \\
\hline
y & 13.8 & 11.4 & 9.5 & 6.8 & 6.7 & 5.8 & 5.6 & 4.5 \\
\hline
\end{array}
\]
*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 Input Box]
**A) How many murders per 100,000 residents can be expected in a state with 9.8 thousand automatic weapons?**
Answer = [Text Input Box]
_Round to 3 decimal places._
**B) How many murders per 100,000 residents can be expected in a state with 10.1 thousand automatic weapons?**
Answer = [Text Input Box]
_Round to 3 decimal places._
[Check Answer Button]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F134dc53d-3a38-4c7a-93bd-d691ba64141f%2F835339dc-7bbc-43e2-a89f-86f1f5a1c06a%2F9fxumde_processed.png&w=3840&q=75)
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.
\[
\begin{array}{|c|c|c|c|c|c|c|c|}
\hline
x & 11.5 & 8.3 & 6.7 & 3.4 & 2.8 & 2.3 & 2.2 & 0.5 \\
\hline
y & 13.8 & 11.4 & 9.5 & 6.8 & 6.7 & 5.8 & 5.6 & 4.5 \\
\hline
\end{array}
\]
*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 Input Box]
**A) How many murders per 100,000 residents can be expected in a state with 9.8 thousand automatic weapons?**
Answer = [Text Input Box]
_Round to 3 decimal places._
**B) How many murders per 100,000 residents can be expected in a state with 10.1 thousand automatic weapons?**
Answer = [Text Input Box]
_Round to 3 decimal places._
[Check Answer Button]
Expert Solution
Step 1
From given data,
| X | Y | X*Y | X*X |
| 11.5 | 13.8 | 158.7 | 132.25 |
| 8.3 | 11.4 | 94.62 | 68.89 |
| 6.7 | 9.5 | 63.65 | 44.89 |
| 3.4 | 6.8 | 23.12 | 11.56 |
| 2.8 | 6.7 | 18.76 | 7.84 |
| 2.3 | 5.8 | 13.34 | 5.29 |
| 2.2 | 5.6 | 12.32 | 4.84 |
| 0.5 | 4.5 | 2.25 | 0.25 |
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