This is an individual question in which cooperation is not permitted. # Reference all...

This is an individual assignment in which cooperation is not permitted. # Reference all sources. # For the Pearson linear correlation test as shown below, # describe the assumptions and purpose of the test.## Explain the meaning of the following output items:# 1) statistic t,# 2) degrees of freedom f,# 3) p-value,# 4) alternate hypothesis,# 5) 95% confidence interval,# 6) sample estimate.## Can one reject at 0.05 level of significance # null hypothesis of zero correlation of x, y?x <- 1:20true.y=""><- 2*x="" +="" 5amt.noise=""><- 30y=""><- true.y="" +="" amt.noise*rnorm(length(x))cor.test(x,y)#="" pearson's="" product-moment="" correlation# #="" data:="" x="" and="" y#="" t="-0.455," df="18," p-value="0.65#" alternative="" hypothesis:="" true="" correlation="" is="" not="" equal="" to="" 0#="" 95="" percent="" confidence="" interval:#="" -0.52434="" 0.35260#="" sample="" estimates:#="" cor #="">