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Today at 10:13 AM
Mathematics

Answered

Magan 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 40 pounds?

Answer :

Today at 10:18 AM

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:

[tex]y=\frac{1}{2} x+18[/tex]

Substituting the value of x, we have:

[tex]y=(\frac{1}{2} \times 40 )+18\\\\y=20+18[/tex]

y = 38 inches.

Read more on scatterplot here: https://brainly.com/question/6592115

${teks-lihat-gambar} Lanuel

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