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What are the inputs for R Software for the correlation and least square? data sets: https://www.worldscientific.com/sda/1174/SKINCANCER.txt 236 Expect the Unexpected: A First Course in Biostatistics

What are the inputs for R Software for the correlation and least square?

data sets: https://www.worldscientific.com/sda/1174/SKINCANCER.txt

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236 Expect the Unexpected: A First Course in Biostatistics Compute the correlation between the melanoma mortality rate and the lat- itude. Based on the above scatter plot and the value of the correlation, describe the association between the melanoma mortality rate and the lat- itude. (b) Using the statistics from part (a), compute the least square line to de- scribe the melanoma mortality rates for the male population as a function of the latitude of the province or state. Give an interpretation to the slope of this line. (c) Consider the female population. Using statistical software, compute the least squares line to describe the melanoma mortality rates as a function of the latitude of the province or state. Give an interpretation to the slope of this line. Furthermore, construct a scatter plot of the melanoma mortality rates against the latitude. (d) Consider the scatter plot from part (c). There is a state/ province with a much lower than expected mortality rate. Identify this state or province.Problem 13.2. Melanoma is a type of skin cancer which forms from melanocytes (pigment-producing cells). Melanoma is considered as the most dangerous form of skin cancer. It is not the most common of the skin cancers in North America, but it does cause the most deaths. Melanoma is caused mainly by exposure to ultraviolet radiation (either from the sun or tanning beds). The authors of article [23] studied the association between melanoma mortality rates and the geographical latitude. The data is in the file SkinCancer.txt. The latitude (x) of the largest city in each state or province was used as an estimate of geographical center of population. The mortality rate (y) for the male population is the number of deaths per year per 100,000 individuals. (The mortality rates are age-standardized to ac- count for populations of different ages.) Here is a scatter plot of melanoma mortality rates for the male population against the latitude of the state or province. 0.5 1.0 1.5 20 Mortality Rates 45 50 25 30 35 Lasdude (a) Here are a few summary statistics: = 40.3762; y = 1.3506; s2 = 5.6851; sy = 0.4036 and = -1.8003. COVEY= n - 1

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