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Question
mason 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?
The slope of a line in a linear - regression context (line of best fit) represents the rate of change. Here, the x - variable is the length of the catfish in inches and the y - variable is the weight of the catfish in pounds. So, the slope represents the change in weight (in pounds) per unit change in length (in inches).
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The change in the weight of the catfish (in pounds) per one - inch increase in length.