The accompanying data on x = current and y = rate of sand deposition appeared in

Question

The accompanying data on x = current and y = rate of sand deposition appeared in a recent study. These are some quantities calculated from the author's data: n = 4, sigma x_i = 200, sigma y_i = 5.37, sigma x_i^2= 12000, sigma y_i^2 = 9.3501, sigma x_i y_i = 333, S_xx = 2000, S_yy = 2.140875, S_xy = 64.5 Use this information to complete questions 24 & 25. Calculate the simple linear regression equation y = 0.412x - 1.29 y = 11.25x-7.25 y = 1.47x - 6.12 y = 0.032x - 0.258 Calculate r. (Answer to four decimal places)

Explanation / Answer

a) Slope, Beta = Sxy/Sxx = 64.5/2000 = 0.032.

Therefore the slope is 0.032 in only the 4th Option. Therefore, d)

b) r = Sxy/sqrt(Sxx*Syy) = 64.5/sqrt(2000*2.14) = 0.9659

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