The scatterplots below show four sets of real data:

(a) repeats the manatee plot in Figures

(b) shows the number of named tropical storms and the number predicted before the start of hurricane season each year between $1984$and $2007$by William Gray of Colorado State University;

(c) plots the healing rate in micrometers (millionths of a meter) per hour for the two front limbs of several newts in an experiment; and

(d) shows stock market performance in consecutive years over a $56$-year period.

The scatterplot in (b) contains an outlier: the disastrous $2005$season, which had $27$named storms, including Hurricane Katrina. What effect would remove this point have on the correlation? Explain.

(a)

(b)

(c)

(d)

Step by step solution

01

Given Information

The scatter plot is:

02

Explanation

the value $27$is an outlier, Because it differs from the rest of the data points. This point implies that there is a positive linear relationship between the variables, and that if it is eliminated, the correlation between two variables will decrease.

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