The accompanying data on x diesel oil consumption ratemeasured by the drainweigh method

Chapter 12, Problem 71

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The accompanying data on x diesel oil consumption ratemeasured by the drainweigh method and y rate measuredby the CI-trace method, both in g/hr, was read from a graph inthe article A New Measurement Method of Diesel Engine OilConsumption Rate (J. of Soc. of Auto Engr., 1985: 2833).x 4 5 8 11 12 16 17 20 22 28 30 31 39y 5 7 10 10 14 15 13 25 20 24 31 28 39SAS output for Exercise 72Dependent Variable: NITRLVLAnalysis of VarianceSource DF Sum of Squares Mean Square F Value Prob . FModel 1 64.49622 64.49622 63.309 0.0002Error 6 6.11253 1.01875C Total 7 70.60875Root MSE 1.00933 R-square 0.9134Dep Mean 26.91250 Adj R-sq 0.8990C.V. 3.75043Parameter EstimatesParameter Standard T for HO:Variable DF Estimate Error Parameter 0 Prob > |T|INTERCEP 1 326.976038 37.71380243 8.670 0.0001SALINITY 1 28.403964 1.05621381 27.957 0.0002a. Assuming that x and y are related by the simple linearregression model, carry out a test to decide whether it isplausible that on average the change in the rate measuredby the CI-trace method is identical to the change in therate measured by the drainweigh method.b. Calculate and interpret the value of the sample correlationcoefficient.