Question

please provide the correct answer

1. As the speed (in miles per hour) of an automobile increases, the gas mileage (in miles per gallon) first increases and then decreases. Suppose that this relationship is very regular, shown by the following data table and scatterplot. as Speed 30 40 50 60 70 Mileage 20 24 26 24 20 mileage 26 25 24 23 22 21 201 30 40 50 60 70 speed Why would we not want to compute a correlation coefficient () with this data set? A. The variables are on the wrong axes; speed should be on should be on the x-axis. the y-axis and mileage B. The relationship is not linear. C. We don't know if one variable causes the other. D. The sample size is too small. E. We have the wrong kind of data; we need one quantitative variable and one categorical variable to compute a correlation coefficient. C

Answer 1

Answer:

B. The relationship is not linear.

Explanation:

From the given scatter diagram, it is observed that there is no any linear relationship exists between the given two variables speed and mileage. We know that if there is no linear relationship between two variables, then we do not compute the correlation coefficient and also we do not use linear regression model for the prediction of dependent variable. In these types of cases, we can use another type of regression model based on the fitness of particular regression model.