In a certain type of metal test specimen, the normal stress on a specimen is known to be functionally related to the shear resistance. The following is a set of coded experimental data on the two variables:

i. Calculate the correlation coefficient between X and Y. Also comment on the result.

ii. Estimate the regression line of shear resistance on normal stress.

iii. Estimate the shear resistance for a normal stress of 24.5.

normal stress (X) 26.8 25.4 28.9 23.6 27.7 23.9 24.7 28.1 26.9 shear resistance (Y) 26.5 27.3 24.2 27.1 23.6 25.9 26.3 22.5 21.7 normal stress (X) 26.8 25.4 28.9 23.6 27.7 23.9 24.7 28.1 26.9 shear resistance (Y) 26.5 27.3 24.2 27.1 23.6 25.9 26.3 22.5 21.7