Listed below are the overhead widths (cm) of seals measured from photographs and weights (kg) of the seals. Find the regression equation, letting the overhead width be the predictor (x) variable. Find the best predicted weight of a seal if the overhead width measured from a photograph is 1.8 cm, using the regression equation. Can the prediction be correct? If not, what is wrong? Use a significance level of 0.05. Overhead Width (cm) 7.3 Weight (kg) 7.4 187 9.8 286 9.5 247 8.8 237 8.5 O 231 152 The regression equation is y =D. Ox. (Round the y-intercept to the nearest integer as needed. Round the slope to one decimal place as needed.)
Listed below are the overhead widths (cm) of seals measured from photographs and weights (kg) of the seals. Find the regression equation, letting the overhead width be the predictor (x) variable. Find the best predicted weight of a seal if the overhead width measured from a photograph is 1.8 cm, using the regression equation. Can the prediction be correct? If not, what is wrong? Use a significance level of 0.05. Overhead Width (cm) 7.3 Weight (kg) 7.4 187 9.8 286 9.5 247 8.8 237 8.5 O 231 152 The regression equation is y =D. Ox. (Round the y-intercept to the nearest integer as needed. Round the slope to one decimal place as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
![**Seal Overhead Width and Weight Analysis**
Listed below are the overhead widths (cm) of seals measured from photographs and weights (kg) of the seals. The task is to find the regression equation by letting the overhead width be the predictor (x) variable.
| Overhead Width (cm) | 7.3 | 7.4 | 9.8 | 9.5 | 8.8 | 8.5 |
|---------------------|-----|-----|-----|-----|-----|-----|
| Weight (kg) | 152 | 187 | 266 | 247 | 237 | 231 |
**Objective:**
1. **Determine the Regression Equation:** Use the given data to find the linear regression equation that models the relationship between overhead width (x) and weight (y).
2. **Predict Weight:** Using the regression equation, predict the weight of a seal when the overhead width measured from a photograph is 1.8 cm.
3. **Evaluate Prediction:** Determine if the prediction can be correct and identify any issues with the prediction using a significance level of 0.05.
**The Regression Equation:**
The regression equation is \( \hat{y} = \square + \square \cdot x \)
*(Round the y-intercept to the nearest integer as needed. Round the slope to one decimal place as needed.)*
**Guidance:**
- **Regression Analysis:** Regression analysis assists in understanding relationships between variables. In this scenario, we examine how the overhead width of seals can predict their weight.
- **Coefficients Interpretation:** The slope and y-intercept of the regression line are critical for predictions. Understanding these helps clarify how changes in width affect expected weight.
**Note:**
Ensure data is accurately calculated and verify predictions against typical biological expectations to assess validity and precision accurately.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2d7eb0e-29ea-4a84-830a-dda0e7b4c374%2Fd51c782f-b134-4a45-8187-64da15857f92%2Fixnu42_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Seal Overhead Width and Weight Analysis**
Listed below are the overhead widths (cm) of seals measured from photographs and weights (kg) of the seals. The task is to find the regression equation by letting the overhead width be the predictor (x) variable.
| Overhead Width (cm) | 7.3 | 7.4 | 9.8 | 9.5 | 8.8 | 8.5 |
|---------------------|-----|-----|-----|-----|-----|-----|
| Weight (kg) | 152 | 187 | 266 | 247 | 237 | 231 |
**Objective:**
1. **Determine the Regression Equation:** Use the given data to find the linear regression equation that models the relationship between overhead width (x) and weight (y).
2. **Predict Weight:** Using the regression equation, predict the weight of a seal when the overhead width measured from a photograph is 1.8 cm.
3. **Evaluate Prediction:** Determine if the prediction can be correct and identify any issues with the prediction using a significance level of 0.05.
**The Regression Equation:**
The regression equation is \( \hat{y} = \square + \square \cdot x \)
*(Round the y-intercept to the nearest integer as needed. Round the slope to one decimal place as needed.)*
**Guidance:**
- **Regression Analysis:** Regression analysis assists in understanding relationships between variables. In this scenario, we examine how the overhead width of seals can predict their weight.
- **Coefficients Interpretation:** The slope and y-intercept of the regression line are critical for predictions. Understanding these helps clarify how changes in width affect expected weight.
**Note:**
Ensure data is accurately calculated and verify predictions against typical biological expectations to assess validity and precision accurately.
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