The following data gave X = the water content of snow on April 1 and Y= the yiel

Question

The following data gave X = the water content of snow on April 1 and Y= the yield from April to July (in inches) on the Snake River watershed in Wyoming for 1919 to 1935. (The data were taken from an article in Research Notes,Vol. 61, 1950, Pacific Northwest Forest Range Experiment Station, Oregon) x 23.1 32.8 31.8 32.030.4 24.039.5 242 52.5 37.9 30.55.1 1.4 35.1 31.5 21.1 27 | 23.1 | 32.8 | 31.8 | 32.0 | 30.4 | 24.0 | 39.5 | 24.2 | 52.5 | 37.9 | 30.5 | 25.1 | 12.4 | 35.1 | 31.5 | 21.1 27.6 10.5 16.7 18.217.0 16.3 10.5 23,.1 12.4 24.9 22.8 14.1 12.9 8.8 17414.9 10.5 16.1 y10.5 16.7 18.2 17.0 16.310.5 23.1 12.4 24.922.814.1 12.9 8.817.414.9 10.5 16.1 (a) Estimate the correlation between Y and X. Round your answer to 3 decimal places. (b) Test the hypothesis that H 0:=0 against H 1:+0 with =0.05 Reject the null hypothesis.

Explanation / Answer

a) The statistical software output for this problem is:

Correlation between X and Y is:
0.93320294

Hence,

r = 0.933

b) Reject the null hypothesis.

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