Question Help ▼ 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 43 inches, Is the result close to the actual weight of 277 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 coefficient r. 50 54 44 54 40 36 O Critical Values of the Pearson Correlation Coefficient r 279 339 219 292 201 116 What is the regression equation? NOTE: To test Ho p=0 against H,: p#0, reject H, if the absolute value of r is greater than the critical value in the table. a = 0.05 0.950 a = 0.01 0.990 y=+x (Round to one decimal place as needed.) 4 5 0.878 0.959 What is the best predicted weight of a bear with a chest size of 43 inches? 0.811 0.917 0.754 0.875 The best predicted weight for a bear with a chest size of 43 inches is pounds. (Round to one decimal place as needed.) 0.707 0.666 .834 0.798 8. 9 10 0.632 0.765 Is the result close to the actual weight of 277 pounds? 11 0.602 0.735 12 0.576 O A. This result is not very close to the actual weight of the bear. 0.708 0.684 13 0.553 14 0.532 0.661 O B. This result is very close to the actual weight of the bear. 15 0.514 0.641 O C. This result is close to the actual weight of the bear. 0.497 0.482 0.468 0.623 0.606 0.590 16 17 O D. This result is exactly the same as the actual weight of the bear. 18 19 0.456 0.575 0.661 20 0.444
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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