Answer Happy

Climate change and snow depth (xi) may affect permafrost and soil composition, especially in Canada. Researchers conducted a study to examine how snow.cover affects soil temperature across northern latitudes. A random sample of locations was obtained, and the snow depth (in centimeters) and the difference between the soil temperatures and the air temperatures called surface offset, yi) (in Celcius) was measured for each. Using excel to complete this problem, what is the sample coefficient of correlation or for this data? (hint: we covered this in the bedroom regression lectures and in the bonus football video lecture) the data is below

Depth X; Surface offset Y, X;Y x2 6.7 7 46.9 44.89 41.1 22.8 937.08 1689.21 20.9 8.5 177.65 436.81 58.9 20.9 1231.01 3469.21 18.2. 15.1 274.82 331.24 44.6 14.7 655.62 1989.16 53.8 21.8 1172.84 2894.44 23.1 11.5 265.65 533.61 147.2 17.8 840.16 2227.84 48.2 21.3 1026.66 2323.24

a. a) Depth Xi Surface offset Yi Depth Xi 1 0.854413598 Surface offset Yi 0.854413598 1 b. b) Depth Xi Surface offset Yi Depth xi 0.854413598 1 Surface offset Yi 1 0.854413598 O C. c) Depth Xi Surface offset Yi Depth xi 1 -0.854413598 Surface offset Yi -0.8544136 1

d. d) Depth Xi Surface offset Yi Depth Xi 1 0.584413598 1 Surface offset Yi 0.584413598