The following data are the rates of oxygen consumption of birds,

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The following data are the rates of oxygen consumption of birds, measured at different environmental temperatures:

T (°C)                                -18   -15   -10   -5     0      5     10    19

O2 consumption (ml/g/hr) 5.2    4.7   4.5   3.6   3.4   3.1   2.7   1.8

a) Calculate the intercept, a, and slope, b, for the regression of oxygen consumption rate on temperature. b) Test the null hypothesis H0: β = 0, by analysis of variance. c) Test the null hypothesis H0: β = 0, by t-test. d) Calculate the standard error of the estimated slope, as well as 95% confidence interval. e) Calculate the coefficient of determination of the regression.