jin decides to research the relationship between the length in inches and the weight of a certain species of…
jin 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?
Answer
Answer:
28 pounds
Explanation:
Step1: Identify points on line
We have points (30,24) and (31,26) on the line of best - fit.
Step2: Find slope
The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{26 - 24}{31 - 30}=2$.
Step3: Use point - slope form
Using the point - slope form $y - y_1=m(x - x_1)$ with the point (30,24) and $m = 2$. The equation of the line is $y-24=2(x - 30)$.
Step4: Substitute $x = 33$
When $x = 33$, we have $y-24=2(33 - 30)$. $y-24=2\times3$. $y-24 = 6$. $y=24 + 6=28$. So the predicted weight is 28 pounds.