A pharmaceutical manufacturer wants to determine the concentration of a key component of cough medicine that may be used without the drug's causing adverse side effects. As part of the analysis, a random sample of 45 patients is administered doses of varying concentration (X ), and the severity of side effects (Y ) is measured. The results include x‾= 88.9, y‾ = 165.3, SSX = 2,133.9, SSXY = 4,502.53, SSY = 12,500. Find the least-squares estimates of the regression parameters.
X: 27 39 73 66 33 43 47 55 60 68 70 75 82
Y: 2 3 10 9 4 6 5 8 7 9 10 13 12
Estimate the simple linear regression relationship between market share and product quality rating.