Question

Megan 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 1

Based on the line of best fit, the length of this catfish can be predicted to be 38 inches.

Given the following data:

• Weight of catfish, x = 40 pounds.

What is a line of best fit?

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any correlation between a data.

From the graph of the data, we have the following linear equation:

`y=(1)/(2)x+18`

Substituting the value of x, we have:

`y=((1)/(2)*40)+18`

`y=20+18`

`\bold{y = 38 \ inches.}`