Rain and Snow Is there a correlationbetween the amount of

Chapter 3, Problem 40

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Rain and Snow Is there a correlationbetween the amount of rain and the amount ofsnow that falls in a particular location? The tablebelow shows the average annual rainfall (inches) andthe average annual snowfall (inches) for 10 cities inthe United States.15City Rainfall (inches) Snowfall (inches)Billings, MT 14.77 56.9Casper, WY 13.03 77.8Concord, NH 37.60 64.5Fargo, ND 21.19 40.8Kansas City, MO 37.98 19.9Juneau, AK 58.33 97.0Memphis, TN 54.65 5.1New York, NY 49.69 28.6Portland, OR 37.07 6.5Springfield, IL 35.56 23.2a. Construct a scatterplot for the data.b. Calculate the correlation coefficient r between rainfalland snowfall. Describe the form, direction, andstrength of the relationship between rainfall andsnowfall.c. Are there any outliers in the scatterplot? If so,which city does this outlier represent?d. Remove the outlier that you found in part c fromthe data set and recalculate the correlation coefficientr for the remaining nine cities. Does the correlationbetween rainfall and snowfall change, and,if so, in what way?

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