Wildlife researchers believe they can accurately predict an alligator's weight (lbs.) based on the animal's length (in.) as measured from a distance. The following linear equation represents the LS regression line: Weight = - 393 +7.9(Length) Which of the following is the most accurate description of the slope of the regression line? O a. For each additional pound of weight, the alligator would be 7.9 inches longer O b. For each additional inch in length, the alligator would weigh 393 pounds less O C. For each Sdditional pound of weight, the alligator would be 3.93 inches longer
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.
![Question 5
Wildlife researchers believe they can accurately predict an alligator’s weight (lbs.) based on the animal’s length (in.) as measured from a distance. The following linear equation represents the LS regression line:
\[ \text{Weight} = -393 + 7.9(\text{Length}) \]
Which of the following is the most accurate description of the slope of the regression line?
a. For each additional pound of weight, the alligator would be 7.9 inches longer
b. For each additional inch in length, the alligator would weigh 393 pounds less
c. For each additional pound of weight, the alligator would be 3.93 inches longer
d. For each additional inch in length, the alligator would weigh 7.9 pounds more
*Note: The regression line illustrates the relationship between the length and weight of an alligator. The slope of 7.9 indicates that for every additional inch in length, the alligator's weight increases by 7.9 pounds. Therefore, option d is the most accurate description of the slope.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45d60eb5-8aa1-4acc-96ed-71ca1eb9669a%2F13557d3a-875f-4f27-be5c-a13e3c38ca82%2F2wtygt_processed.jpeg&w=3840&q=75)
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