Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The table below shows the heights (in feet) and the number of stories of six notable buildings in a city. 772 Height, x Stories, y 628 48 518 45 508 (a) x= 502 feet (c) x= 321 feet 496 483 (b) x= 647 feet (d) x= 732 feet 51 43 38 36 Find the regression equation. (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The table below shows the heights (in feet) and the number of stories of six notable buildings in a city. 772 Height, x Stories, y 628 48 518 45 508 (a) x= 502 feet (c) x= 321 feet 496 483 (b) x= 647 feet (d) x= 732 feet 51 43 38 36 Find the regression equation. (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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Transcribed Image Text:**Regression Analysis on Building Heights**
This lesson involves analyzing a dataset to find the regression equation that predicts the number of stories in buildings given their heights. The data provided is as follows:
| Height (x) | Stories (y) |
|------------|-------------|
| 772 | 51 |
| 628 | 48 |
| 518 | 45 |
| 508 | 43 |
| 496 | 38 |
| 483 | 36 |
**Task Instructions**
1. **Find the Regression Equation:**
- Use the given dataset to calculate the regression line.
- Calculate the slope and y-intercept.
- Round the slope to three decimal places and y-intercept to two decimal places.
2. **Scatter Plot & Regression Line:**
- Construct a scatter plot with the given data points.
- Draw the regression line on the scatter plot.
3. **Predict Values:**
- Use the regression equation to predict 'y' (the number of stories) for the given x-values:
- (a) x = 502 feet
- (b) x = 647 feet
- (c) x = 321 feet
- (d) x = 732 feet
**Note:** This analysis assumes a significant correlation between the heights of buildings and the number of stories.
**Further Steps:**
- Use tools to help solve and visualize the data.
- Check your answers for further understanding.
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