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.