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. Below is the sample regression function to be estimated: Surface offset; = bo + b (snow depth) Using your excel output from this regression, what is the correct decision using the p value method for the slope test (assume an alpha level of .05) HO: B1 = 0 (not a linear relationship) HI: B1+0 (is a linear relationship) (hint: we covered this in the slope test video lectures and in the bonus football video lecture) (hint: you will need to look at the p value in the excel output and compare it to the alpha level above) Surface Depth X XY x2 offset Y 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 47.2 17.8 840.16 2227.84 48.2 21.3 1026.66 2323.24
a) a. fail to reject the null hypothesis, there is insufficient evidence of a linear relationship O b) b. fail to reject the null hypothesis, there is sufficient evidence of a linear relationship O c) c. reject the alternative hypothesis, there is sufficient evidence of a linear relationship O d) d. reject the null hypothesis, there is insufficient evidence of a linear relationship e) e. none of the above are correct