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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 41 inches. Is the result close to the actual weight of 243 pounds? Use a significance level of 0.05. Chest size (inches) Weight (pounds) E Click the icon to view the critical values of the Pearson correlation coefficientr. 53 40 227 360 153 206 43 44 58 - 234 414 What is the regression equation? y =+x (Round to one decimal place as needed.)

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 41 inches. Is the result close to the actual weight of 243 pounds? Use a significance level of 0.05. Chest size (inches) Weight (pounds) E Click the icon to view the critical values of the Pearson correlation coefficientr. 53 40 227 360 153 206 43 44 58 - 234 414 What is the regression equation? y =+x (Round to one decimal place as needed.)

MATLAB: An Introduction with Applications
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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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 41 inches. Is the result close to the actual weight of 243 pounds? Use a significance level of 0.05. | Chest size (inches) | 40 | 53 | 38 | 43 | 44 | 58 | |---------------------|----|----|----|----|----|----| | Weight (pounds) | 227 | 360 | 153 | 206 | 234 | 414 | - **Click the icon to view the critical values of the Pearson correlation coefficient r.** **Task:** What is the regression equation? \[ y = \Box + \Box x \] (Round to one decimal place as needed.)
Transcribed Image Text: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 41 inches. Is the result close to the actual weight of 243 pounds? Use a significance level of 0.05. | Chest size (inches) | 40 | 53 | 38 | 43 | 44 | 58 | |---------------------|----|----|----|----|----|----| | Weight (pounds) | 227 | 360 | 153 | 206 | 234 | 414 | - **Click the icon to view the critical values of the Pearson correlation coefficient r.** **Task:** What is the regression equation? \[ y = \Box + \Box x \] (Round to one decimal place as needed.)
# Critical Values of the Pearson Correlation Coefficient \( r \) This table provides critical values of the Pearson correlation coefficient \( r \) for different sample sizes (\( n \)) and significance levels (\( \alpha \)). The significance levels considered are \( \alpha = 0.05 \) and \( \alpha = 0.01 \). | \( n \) | \( \alpha = 0.05 \) | \( \alpha = 0.01 \) | |---------|-------------------|-------------------| | 4 | 0.950 | 0.990 | | 5 | 0.878 | 0.959 | | 6 | 0.811 | 0.917 | | 7 | 0.754 | 0.875 | | 8 | 0.707 | 0.834 | | 9 | 0.666 | 0.798 | | 10 | 0.632 | 0.765 | | 11 | 0.602 | 0.735 | | 12 | 0.576 | 0.708 | | 13 | 0.553 | 0.684 | | 14 | 0.532 | 0.661 | | 15 | 0.514 | 0.641 | | 16 | 0.497 | 0.623 | | 17 | 0.482 | 0.606 | | 18 | 0.468 | 0.590 | | 19 | 0.456 | 0.575 | | 20 | 0.444 | 0.561 | | 25 | 0.396 | 0.505 | | 30 | 0.361 | 0.463 | | 35 | 0.335 | 0.430 | | 40 | 0.312 | 0.402 | | 45 | 0.294 | 0.378 | | 50 | 0.279 | 0.361 |
Transcribed Image Text:# Critical Values of the Pearson Correlation Coefficient \( r \) This table provides critical values of the Pearson correlation coefficient \( r \) for different sample sizes (\( n \)) and significance levels (\( \alpha \)). The significance levels considered are \( \alpha = 0.05 \) and \( \alpha = 0.01 \). | \( n \) | \( \alpha = 0.05 \) | \( \alpha = 0.01 \) | |---------|-------------------|-------------------| | 4 | 0.950 | 0.990 | | 5 | 0.878 | 0.959 | | 6 | 0.811 | 0.917 | | 7 | 0.754 | 0.875 | | 8 | 0.707 | 0.834 | | 9 | 0.666 | 0.798 | | 10 | 0.632 | 0.765 | | 11 | 0.602 | 0.735 | | 12 | 0.576 | 0.708 | | 13 | 0.553 | 0.684 | | 14 | 0.532 | 0.661 | | 15 | 0.514 | 0.641 | | 16 | 0.497 | 0.623 | | 17 | 0.482 | 0.606 | | 18 | 0.468 | 0.590 | | 19 | 0.456 | 0.575 | | 20 | 0.444 | 0.561 | | 25 | 0.396 | 0.505 | | 30 | 0.361 | 0.463 | | 35 | 0.335 | 0.430 | | 40 | 0.312 | 0.402 | | 45 | 0.294 | 0.378 | | 50 | 0.279 | 0.361 |
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