potential relationship between the paired data provided in Table 2. The data is arranged in two columns to fit on the page. X is the explanatory variate (from a Non-Destructive Evaluation) and Y is the response variate (Corresponding Strength). X Yl X 3980 19.7 4226 34.5 36.0 4340 4264 34.9 4306 29 4302 32.4 4253 29.1 4418 3 4224 28.9 4370 35.6 4327 4385 32 4187 24.9 4440 4416 37.6 4428 36.1 427 4303 31 4267 45964 30.5 4383 4327 31.6 4107 23.8 199 4381 35.3 4304 31. 4205 23.9 4160 29 257 4145 2 4268 29.2 4273 31 4360 36.1 4396 36.4 4226 34.5 1424 4340 33.8 4139 29.0 a) Create an appropriately formatted and labeled scatter diagram of these data. Discuss what you observe about the pattern of the data and discuss what one should look for to decide whether a simple linear regression model is appropriate. b) Assuming that a simple linear regression model is appropriate, fit a least squares regression model. Show the detailed equations and partial sums in the equations for the regression coefficients