Question

The coefficient of absorption (COA) for a clay brick is the ratio of the amount of cold water to the amount of boiling water that the brick will absorb. The following table shows the measurements of pore volume (cm3/g) and COA for four bricks. Pore volume COA 1.75 0.8 1.63 0.78 1.60 0.77 1.62 0.75 Find the least square linear regression line for predicting COA from pore volume. Approximate to 5dp. a) ?? = 0.24638 ?? + 0.36847 b) ?? = 0.46941 ?? + 0.00047 c) ?? = 0.26941 ?? + 0.00047 d) ?? = 0.46941 ?? + 0.36847

The coefficient of absorption (COA) for a clay brick is the ratio of the amount of cold water to the amount of boiling water that the brick will absorb. The following table shows the measurements of pore volume (cm3/g) and COA for four bricks. Pore volume COA . 1.75 1.63 0.8 0.78 1.600.77 0.75 1.62 Find the least square linear regression line for predicting COA from pore volume Approximate to 5dp. a) y 0.24638 x 0.36847 b) y 0.46941 x 0.00047 c) y 0.26941 x +0.00047 d) y 0.46941 x +0.36847 e) None of the above.

Answer 1

By the analysis on MS Excel we got the following result. Thus the least square regression line for predicting COA from pore volume is y=0.24638x+0.36847 (approximation to 5dp). Thus option is (a)