Use the below data to answer the questions. Find the regression coefficients (the intercept and slope coefficients).
First, we find xmean and ymean, which are 823.00 and 26.75 respectively. Taking the sum of the products of the difference of each record with its respective mean, we find
sigma{i=1 to n} (xi-xmean)(yi-ymean) = (867 - 823)(12 - 26.75) + … = 22606
while the sum of the squares differences between the x values and xmean is
sigma{i=1 to n} (xi - xmean)2 = (867 - 823)2 … = 480280
Thus
b = 22606 / 280280 = 0.047
a = ymean - b * xmean = 26.750 - 0.047 * 823.000 = -11.931
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