Question

ajay decides to research the relationship between the length in inches and the weight of a certain species of catfish. he measures the length and weight of a number of specimens he catches then throws back into the water. after plotting all his data, he draws a line of best fit. what does the slope of the line represent? answer the rate of change in the expected length of the catfish over its weight. the expected change in weight of a catfish for each additional inch in length. the expected weight of a catfish that is 1 inch long. the expected length of a catfish that weighs 1 pound.

Explanation:

In a linear regression model \(y = mx + b\) (where \(y\) is the dependent variable, \(x\) is the independent variable, \(m\) is the slope, and \(b\) is the y - intercept), when \(x\) represents catfish length (inches) and \(y\) represents catfish weight (pounds), the slope \(m=\frac{\Delta y}{\Delta x}\). The slope measures the change in \(y\) (weight) for a unit change in \(x\) (length).

Answer:

The expected change in weight of a catfish for each additional inch in length.