Jeriel 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. Based on the line of best fit, how much would you predict a catfish with a length of 33 inches would weigh?

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raphealnwobi raphealnwobi · Answer 1 · 2022-03-07T10:26:36+01:00

A catfish with a length of 33 inches would weigh 30 pounds.

A linear equation is in the form of:

y = mx + b

where y,x are variables, m is the rate of change and b is the y intercept.

Let y represent the catfish weight with x inches length

From the line of best, it passes through (20, 4) and (23, 10), hence:

y - 4 = [(10 - 4)/(23 - 20)](x - 20)

y = 2x - 36

For a length of 33 inches:

y = 2(33) - 36 = 30 pounds

A catfish with a length of 33 inches would weigh 30 pounds.

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