The correlation coefficient, R, for the scatterplot above is 0.619. a) If the ga

Question

The correlation coefficient, R, for the scatterplot above is 0.619. a) If the gardener decides to multiply each height by 2.4 to convert the heights to centimeters, will R be bigger, smaller, or the same? b) If the gardener decides that she wants to predict the circumference of a sunflow based on its height (in other words she is going to make height the explanatory instead of circumference) will R be bigger, smaller, or the same? c) There is one sunflower with a circumference of 15 cm. What is its height? If this point were removed from the data set, would R be bigger, smaller, or the same d) There is one sunflower with a circumference of 14 cm. What is its height? If this point were removed from the data set, would R be bigger, smaller, or the same

Explanation / Answer

a. The scatterplot is not provided, only the value of correlation, R=0.619 is given. It is said that gardener want sto multiply each height with 2.4 to convert the height into centimeters. Since, the linear correlation coefficine is a unitless measure of association, therefore, units of measurement of x and y plays no role in the interpretation of r. Thus, R will be same.

b. The linear correlation coefficient is a measure of the strength and direction of the linear relation between two quantitative variables. It doesnot identify the difference between response and independent variable. Thus, again R will be same.

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