The monthly absolute estimate of global (land and ocean combined) temperature indexes (degrees C) in 2000 and 2001 (www.ncdc.noaa.gov/oa/climate/) are:

(a) Graph the data and fit a regression line to predict 2001 temperatures from those in 2000. Is there a significant regression at α = 0.05? What is the P-value?

(b) Estimate the correlation coefficient.

(c) Test the hypothesis that ρ= . 0 9 against the alternative ρ ‰  0.9 with α = 0.05. What is the P-value?

TABLE 11-10 Data for Correlation Exercise

(d) Compute a 95% confidence interval for the correlation coefficient.

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2000: 12.28, 12.63, 13.22, 14.21, 15.13, 15.82, 16.05, 16.02, 15.29, 14.29, 13.16, 12.47 |2001: 12.44, 12.55, 13.35, 14.22, 15.28, 15.99, 16.23, 16.17, 15.44, 14.52, 13.52, 12.61 -4 -3 -2.65 1 3.87 -3 2.65 1 -3.87 -2 -3.46 2 3.46 -2 3.46 2 -3.46 -1 -3.87 3 2.65 -1 3.87 3 -2.65 4