Question

kevin went fishing and is using a scatterplot to analyze the relationship between the weight of each of the fish he caught in pounds and in kilograms. he uses the weight in pounds as the independent variable and the weight in kilograms as the dependent variable. which statement is correct? the points on the scatterplot will go down from left to right because as the weight in pounds increases, the weight in kilograms increases. the points on the scatterplot will go up from left to right because as the weight in pounds increases, the weight in kilograms increases. the points on the scatterplot will go up from left to right because as the weight in pounds increases, the weight in kilograms decreases. the points on the scatterplot will go down from left to right because as the weight in pounds increases, the weight in kilograms decreases.

Explanation:

Step1: Recall the relationship between pounds and kilograms

The conversion formula is \(y = 0.4536x\) (where \(y\) is weight in kilograms and \(x\) is weight in pounds).

Step2: Analyze the slope of the relationship

Since the coefficient \(0.4536>0\), as \(x\) (pounds) increases, \(y\) (kilograms) increases. In a scatter - plot, when the dependent variable (\(y\)) increases as the independent variable (\(x\)) increases, the points go up from left to right.

Answer:

The points on the scatterplot will go up from left to right because as the weight in pounds increases, the weight in kilograms increases.