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. I y 11.8 8.5 6.6 3.6 2.4 2.7 2.3 0.4 14 11.1 9.8 7.2 5.9 6.6 6.1 4.5 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. Answer= A) 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. B) How many murders per 100,000 residents can be expected in a state with 8.1 thousand automatic weapons? Round to 3 decimal places.
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. I y 11.8 8.5 6.6 3.6 2.4 2.7 2.3 0.4 14 11.1 9.8 7.2 5.9 6.6 6.1 4.5 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. Answer= A) 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. B) How many murders per 100,000 residents can be expected in a state with 8.1 thousand automatic weapons? Round to 3 decimal places.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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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.
| \( x \) | 11.8 | 8.5 | 6.6 | 3.6 | 2.4 | 2.7 | 2.3 | 0.4 |
|---------|------|-----|-----|-----|-----|-----|-----|-----|
| \( y \) | 14 | 11.1| 9.8 | 7.2 | 5.9 | 6.6 | 6.1 | 4.5 |
- \( x \) = 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.**
\[ \text{Regression Equation:} \]
**Answer**: [Your Answer Here]
---
### A) How many murders per 100,000 residents can be expected in a state with 9.7 thousand automatic weapons?
**Answer**: [Your Answer Here] (Round to 3 decimal places.)
---
### B) How many murders per 100,000 residents can be expected in a state with 8.1 thousand automatic weapons?
**Answer**: [Your Answer Here] (Round to 3 decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbed7ab37-3726-4b83-a741-6ed60a3ee8a9%2Fce13c51d-b3f2-45c9-bec5-948c8e8734fc%2F3sevhde_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.
| \( x \) | 11.8 | 8.5 | 6.6 | 3.6 | 2.4 | 2.7 | 2.3 | 0.4 |
|---------|------|-----|-----|-----|-----|-----|-----|-----|
| \( y \) | 14 | 11.1| 9.8 | 7.2 | 5.9 | 6.6 | 6.1 | 4.5 |
- \( x \) = 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.**
\[ \text{Regression Equation:} \]
**Answer**: [Your Answer Here]
---
### A) How many murders per 100,000 residents can be expected in a state with 9.7 thousand automatic weapons?
**Answer**: [Your Answer Here] (Round to 3 decimal places.)
---
### B) How many murders per 100,000 residents can be expected in a state with 8.1 thousand automatic weapons?
**Answer**: [Your Answer Here] (Round to 3 decimal places.)
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Transcribed Image Text:Determine the regression equation in y = ax + b form and write it below.
0.83x + 4.18
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