It is thought that the number of pounds of steam used per month in a plant is related to the temperatureaverage monthly ambient. Partial year usages and temperatures are in the following file

a - give the number n of observations

b - Give an estimate of , the variance of random error

c - Give the Pearson correlation between monthly steam use and room temperature average monthly.

head (steam) ## Month Temperature Usage ## 1 Jan 21 185.79 ## 2 Feb 24 214.47 ## 3 Mar 32 288.03 ## 4 April 47 424.84 ## 5 May 50 454.68 ## 6 June 59 539.03 sapply(steam[,c(2,3)],mean) ## Temperature ## 46.5000 Usage 421.8617 sapply (steam[,c(2,3)],sd) ## Temperature ## 17.34411 Usage 159.72346 mod