44.8k views
1 vote
Question

Lavaughn 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, what would you predict to be the length of a catfish that weighed 32
pounds?
sh Weight (pounds)
PLS HELP!!

Question Lavaughn decides to research the relationship between the length in inches-example-1

1 Answer

5 votes

The predicted length of a catfish that weighs 32 pounds is 44 inches.

To predict the length of a catfish that weighs 32 pounds based on the line of best fit, we need to use the equation of the line.

Let's assume that the equation of the line is y = mx + b, where y represents the weight and x represents the length.

From the given data, we can find the slope (m) and the y-intercept (b) of the line by using two points.

Once we have the equation, we can substitute the weight value of 32 pounds into the equation to solve for the length.

For example, if the equation of the line is y = 0.5x + 10, we would substitute y = 32 into the equation and solve for x:

32 = 0.5x + 10

Subtracting 10 from both sides:

22 = 0.5x

Dividing both sides by 0.5:

x = 44

Therefore, the predicted length of a catfish that weighs 32 pounds is 44 inches.

User Iamgirdhar
by
8.7k points