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. Height, Stories, y (a) x= 501 feet (c) x= 802 feet 768 52 491 38 478 37 (b) x = 649 feet (d) x= 734 feet 628 518 511 48 46 42 Find the regression equation x+ (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. OA. OB. Oc. OD. 60 604 60 60 80 Height feet) Height (feet) Height (feet) Height (feet (a) Predict the value of y for x 501. Choose the correct answer below. O A. 47 ОВ. 41 ос. 51 OD. not meaningful (b) Predict the value of y for x 649. Choose the correct answer below. O A. 54 ОВ. 41 OC. 47 OD. not meaningful (c) Predict the value of y for x= 802. Choose the correct answer below. O A. 54 О В. 51 OC. 47 OD. not meaningful (d) Predict the value of y for x 734. Choose the correct answer below. OA. 51 ОВ. 41 OC. 54 OD. not meaningful
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. Height, Stories, y (a) x= 501 feet (c) x= 802 feet 768 52 491 38 478 37 (b) x = 649 feet (d) x= 734 feet 628 518 511 48 46 42 Find the regression equation x+ (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. OA. OB. Oc. OD. 60 604 60 60 80 Height feet) Height (feet) Height (feet) Height (feet (a) Predict the value of y for x 501. Choose the correct answer below. O A. 47 ОВ. 41 ос. 51 OD. not meaningful (b) Predict the value of y for x 649. Choose the correct answer below. O A. 54 ОВ. 41 OC. 47 OD. not meaningful (c) Predict the value of y for x= 802. Choose the correct answer below. O A. 54 О В. 51 OC. 47 OD. not meaningful (d) Predict the value of y for x 734. Choose the correct answer below. OA. 51 ОВ. 41 OC. 54 OD. not meaningful
MATLAB: An Introduction with Applications
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Question
![### Educational Website Text Transcription
#### Problem 7: Regression Analysis
**Task**: Find the equation of the regression line for the given data. Construct a scatter plot of the data and draw the regression line. Use the regression equation to predict the value of \( y \) for each given \( x \)-value, if meaningful. The table below shows the heights (in feet) and the number of stories of six notable buildings in a city.
| Height, \( x \) (feet) | Stories, \( y \) |
|------------------------|----------------------|
| 582 | 52 |
| 548 | 48 |
| 476 | 42 |
| 511 | 38 |
| 491 | 37 |
| 478 | 36 |
**Instructions**:
1. Find the regression equation:
\[
\hat{y} = \quad x + \quad
\]
*(Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)*
2. Choose the correct graph below:
- Graph A
- Graph B
- Graph C
- Graph D
**Graph Explanation**:
The images present four types of scatter plots with regression lines showing the relationship between building height (x-axis, in feet) and the number of stories (y-axis).
**Predictions**:
- (a) Predict the value of \( y \) for \( x = 501 \). Choose the correct answer below:
- A. 47
- B. 41
- C. 51
- D. not meaningful
- (b) Predict the value of \( y \) for \( x = 649 \). Choose the correct answer below:
- A. 54
- B. 41
- C. 47
- D. not meaningful
- (c) Predict the value of \( y \) for \( x = 802 \). Choose the correct answer below:
- A. 54
- B. 51
- C. 47
- D. not meaningful
- (d) Predict the value of \( y \) for \( x = 734 \). Choose the correct answer below:
- A. 51
- B. 41](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcbd6a68d-f6ca-4106-a572-576a83876ff9%2Fc69a334f-77de-4b9a-8ffc-8ce1a54b40b4%2F6sfidth_processed.png&w=3840&q=75)
Transcribed Image Text:### Educational Website Text Transcription
#### Problem 7: Regression Analysis
**Task**: Find the equation of the regression line for the given data. Construct a scatter plot of the data and draw the regression line. Use the regression equation to predict the value of \( y \) for each given \( x \)-value, if meaningful. The table below shows the heights (in feet) and the number of stories of six notable buildings in a city.
| Height, \( x \) (feet) | Stories, \( y \) |
|------------------------|----------------------|
| 582 | 52 |
| 548 | 48 |
| 476 | 42 |
| 511 | 38 |
| 491 | 37 |
| 478 | 36 |
**Instructions**:
1. Find the regression equation:
\[
\hat{y} = \quad x + \quad
\]
*(Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)*
2. Choose the correct graph below:
- Graph A
- Graph B
- Graph C
- Graph D
**Graph Explanation**:
The images present four types of scatter plots with regression lines showing the relationship between building height (x-axis, in feet) and the number of stories (y-axis).
**Predictions**:
- (a) Predict the value of \( y \) for \( x = 501 \). Choose the correct answer below:
- A. 47
- B. 41
- C. 51
- D. not meaningful
- (b) Predict the value of \( y \) for \( x = 649 \). Choose the correct answer below:
- A. 54
- B. 41
- C. 47
- D. not meaningful
- (c) Predict the value of \( y \) for \( x = 802 \). Choose the correct answer below:
- A. 54
- B. 51
- C. 47
- D. not meaningful
- (d) Predict the value of \( y \) for \( x = 734 \). Choose the correct answer below:
- A. 51
- B. 41
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