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.

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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.

| \( x \)  | 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.)
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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Determine the regression equation in y = ax + b form and write it below.
0.83x + 4.18
x syntax error: this is not an equation.
Transcribed Image Text:Determine the regression equation in y = ax + b form and write it below. 0.83x + 4.18 x syntax error: this is not an equation.
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