given data, a with the regression line included. value of y for each given x-value, to predict the value of y, explain gnificant linear correlation. and the number of stories of ds Buildings) 450 430 410 33 31 40 650 feet 725 feet imals as done in classll

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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---

### Calculation and Rounding Practice

For the following measurements, provide the rounded answer in the space provided.

1. **Measurement:**
   - \( x = 500 \text{ feet} \)
   - **Rounded Answer:**  ____________

2. **Measurement:**
   - \( x = 650 \text{ feet} \)
   - **Rounded Answer:**  ____________

3. **Measurement:**
   - \( x = 310 \text{ feet} \)
   - **Rounded Answer:**  ____________

4. **Measurement:**
   - \( x = 725 \text{ feet} \)
   - **Rounded Answer:**  ____________

---

Students should round each measurement to the nearest appropriate unit, such as tens, hundreds, or as specified in your lesson plan.
Transcribed Image Text:Certainly! Here is a transcription suitable for an educational website: --- ### Calculation and Rounding Practice For the following measurements, provide the rounded answer in the space provided. 1. **Measurement:** - \( x = 500 \text{ feet} \) - **Rounded Answer:** ____________ 2. **Measurement:** - \( x = 650 \text{ feet} \) - **Rounded Answer:** ____________ 3. **Measurement:** - \( x = 310 \text{ feet} \) - **Rounded Answer:** ____________ 4. **Measurement:** - \( x = 725 \text{ feet} \) - **Rounded Answer:** ____________ --- Students should round each measurement to the nearest appropriate unit, such as tens, hundreds, or as specified in your lesson plan.
**Task 6**

(a) Find the equation of the regression line for the given data.  
(b) Construct a scatterplot of the data.  
(c) Then use the regression equation to predict the value of \( y \) for each given \( x \)-value.

Determine if it is meaningful to predict the value of \( y \); explain why not. *Note: The pair of variables has a significant linear correlation.*

**Data: Miami Building Heights**  
The table below shows the heights (in feet) and the number of stories of nine notable buildings in Miami.

| Height - \( x \) (feet) | Stories - \( y \) |
|-------------------------|-------------------|
| 764                     | 55                |
| 625                     | 47                |
| 520                     | 51                |
| 510                     | 28                |
| 492                     | 34                |
| 484                     | 34                |
| 450                     | 33                |
| 430                     | 31                |
| 410                     | 40                |

**Predictions:**  
(a) \( x = 500 \) feet  
(b) \( x = 650 \) feet  
(c) \( x = 310 \) feet  
(d) \( x = 725 \) feet

**Regression Equation:**

*Note: Round coefficients to three decimals as done in class.*
Transcribed Image Text:**Task 6** (a) Find the equation of the regression line for the given data. (b) Construct a scatterplot of the data. (c) Then use the regression equation to predict the value of \( y \) for each given \( x \)-value. Determine if it is meaningful to predict the value of \( y \); explain why not. *Note: The pair of variables has a significant linear correlation.* **Data: Miami Building Heights** The table below shows the heights (in feet) and the number of stories of nine notable buildings in Miami. | Height - \( x \) (feet) | Stories - \( y \) | |-------------------------|-------------------| | 764 | 55 | | 625 | 47 | | 520 | 51 | | 510 | 28 | | 492 | 34 | | 484 | 34 | | 450 | 33 | | 430 | 31 | | 410 | 40 | **Predictions:** (a) \( x = 500 \) feet (b) \( x = 650 \) feet (c) \( x = 310 \) feet (d) \( x = 725 \) feet **Regression Equation:** *Note: Round coefficients to three decimals as done in class.*
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