The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 53 inches. Is the result dose to the actual weight of 475 pounds? Use a significance level of 0.05. 57 Chest size (inches) Weight (pounds) 44 59 55 59 44 O 403 645 563 587 548 406 Click the icon to view the critical values of the Pearson correlation coefficient r. What is the regression equation? < X Critical values of the pearson cerrelation coefficient r y=+x (Round to one decimal place as needed) What is the best predicted weight of a bear with a chest size of 53 inches? Critical Values of the Pearson Correlation Coefficient r NOTE To test H, p=0 a-0.01 0.990 0 959 0917 0.875 0.834 a-0.05 The best predicted weight for a bear with a chest size of 53 inches is pounds (Round to one decimal place as needed.) 0.950 0878 0.811 0.754 0.707 0 666 0 632 against H, p+0, reject H, jf the absolute value of ris greater than the critical value in the table 4. Is the result close to the actual weight of 475 pounds? 6. 8. O A. This result is exactly the same as the actual weight of the bear 0.798 0.765 0.735 0.708 0.684 0.661 0641 0623 0 606 0.590 O B. This result is not very close to the actual weight of the bear. 10 0.602 0.576 0 553 0532 11 OC. This result is close to the actual weight of the bear. 12 O D. This result is very close to the actual weight of the bear. 13 14 15 0.514 0.497 16 0.482 0.468 0456 0444 0.396 17 18 19 0575 0561 0 505 0 463 0430 20 25 30 0.361 0.335 0312 0 294 0279 0.254 0236 0.220 0 207 0 196 a-0.05 35 0.402 0378 0361 0330 0 305 0.286 40 45 50 60 70 80 0 269 0256 a-0.01 90 100
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 53 inches. Is the result dose to the actual weight of 475 pounds? Use a significance level of 0.05. 57 Chest size (inches) Weight (pounds) 44 59 55 59 44 O 403 645 563 587 548 406 Click the icon to view the critical values of the Pearson correlation coefficient r. What is the regression equation? < X Critical values of the pearson cerrelation coefficient r y=+x (Round to one decimal place as needed) What is the best predicted weight of a bear with a chest size of 53 inches? Critical Values of the Pearson Correlation Coefficient r NOTE To test H, p=0 a-0.01 0.990 0 959 0917 0.875 0.834 a-0.05 The best predicted weight for a bear with a chest size of 53 inches is pounds (Round to one decimal place as needed.) 0.950 0878 0.811 0.754 0.707 0 666 0 632 against H, p+0, reject H, jf the absolute value of ris greater than the critical value in the table 4. Is the result close to the actual weight of 475 pounds? 6. 8. O A. This result is exactly the same as the actual weight of the bear 0.798 0.765 0.735 0.708 0.684 0.661 0641 0623 0 606 0.590 O B. This result is not very close to the actual weight of the bear. 10 0.602 0.576 0 553 0532 11 OC. This result is close to the actual weight of the bear. 12 O D. This result is very close to the actual weight of the bear. 13 14 15 0.514 0.497 16 0.482 0.468 0456 0444 0.396 17 18 19 0575 0561 0 505 0 463 0430 20 25 30 0.361 0.335 0312 0 294 0279 0.254 0236 0.220 0 207 0 196 a-0.05 35 0.402 0378 0361 0330 0 305 0.286 40 45 50 60 70 80 0 269 0256 a-0.01 90 100
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
14
![### Educational Exercise: Regression Analysis of Bear Data
#### Problem Statement
The data below shows the chest size and weight of several bears.
- **Objective:** Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 53 inches. Determine if the result is close to the actual weight of 475 pounds. Use a significance level of 0.05.
#### Data
- **Chest Size (inches):** 44, 59, 55, 59, 57, 44
- **Weight (pounds):** 403, 645, 563, 587, 548, 406
#### Tasks
1. **What is the regression equation?**
\[
\hat{y} = b_0 + b_1x \quad (\text{Round to one decimal place as needed.})
\]
2. **What is the best predicted weight of a bear with a chest size of 53 inches?**
\[
\text{The best predicted weight is } \underline{\hspace{2cm}} \text{ pounds. (Round to one decimal place as needed.)}
\]
3. **Is the result close to the actual weight of 475 pounds?**
- **A.** This result is exactly the same as the actual weight of the bear.
- **B.** This result is not very close to the actual weight of the bear.
- **C.** This result is close to the actual weight of the bear.
- **D.** This result is very close to the actual weight of the bear.
#### Critical Values of the Pearson Correlation Coefficient \( r \)
The table provides critical values for different sample sizes \( n \) at significance levels \( \alpha = 0.05 \) and \( \alpha = 0.01 \). This is used to test the null hypothesis \( H_0: \rho = 0 \) against \( H_1: \rho \neq 0 \). You reject \( H_0 \) if the absolute value of \( r \) is greater than the critical value from the table.
**Table Columns:**
- **n:** Sample size
- **Critical Values (\( \alpha = 0.05 \)):** 0.950, 0.878](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F287390e7-aefd-4259-9b58-55284e4f73b2%2Fbccd3767-88c7-4bd8-8786-4f495eaf5741%2Fdhtwrte_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Educational Exercise: Regression Analysis of Bear Data
#### Problem Statement
The data below shows the chest size and weight of several bears.
- **Objective:** Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 53 inches. Determine if the result is close to the actual weight of 475 pounds. Use a significance level of 0.05.
#### Data
- **Chest Size (inches):** 44, 59, 55, 59, 57, 44
- **Weight (pounds):** 403, 645, 563, 587, 548, 406
#### Tasks
1. **What is the regression equation?**
\[
\hat{y} = b_0 + b_1x \quad (\text{Round to one decimal place as needed.})
\]
2. **What is the best predicted weight of a bear with a chest size of 53 inches?**
\[
\text{The best predicted weight is } \underline{\hspace{2cm}} \text{ pounds. (Round to one decimal place as needed.)}
\]
3. **Is the result close to the actual weight of 475 pounds?**
- **A.** This result is exactly the same as the actual weight of the bear.
- **B.** This result is not very close to the actual weight of the bear.
- **C.** This result is close to the actual weight of the bear.
- **D.** This result is very close to the actual weight of the bear.
#### Critical Values of the Pearson Correlation Coefficient \( r \)
The table provides critical values for different sample sizes \( n \) at significance levels \( \alpha = 0.05 \) and \( \alpha = 0.01 \). This is used to test the null hypothesis \( H_0: \rho = 0 \) against \( H_1: \rho \neq 0 \). You reject \( H_0 \) if the absolute value of \( r \) is greater than the critical value from the table.
**Table Columns:**
- **n:** Sample size
- **Critical Values (\( \alpha = 0.05 \)):** 0.950, 0.878
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