Cooper 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?
Question
Cooper 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?
Solution
The slope of the line in Cooper's research represents the rate of change between the length and weight of the catfish. In other words, it shows how much the weight of the catfish (the dependent variable) changes for each inch of length (the independent variable). If the slope is positive, it means that as the length of the catfish increases, so does its weight. If the slope is negative, it would mean that as the length increases, the weight decreases. However, in this context, we would expect the slope to be positive, indicating a positive correlation between length and weight in catfish.
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