A study of developmental measures of infants at various ages is done by measurin boys on a motor skill scale at age 6 and 15 months. Assume that x score at 6 months and y = score at 15 months. The following data is collected: x (at 6 months): 2 4 1 334 2 y (at 15 months): 4 5 2 34 61 If the study is done by using the probabilistic model: E(y) = a +b x, then the fitted model is: -0.23 - 1.23 x To evaluate the the fitted model obtained above, one wants to test the followi hypotheses: Ho: b-0 H b#0 What is your conclusion for this test? (use alpha= 0.10) Reject Ho since the value of the observed test statistics is t 2.72 > 1.476 coefficient of correlation r = - 0.7970 95% confidence interval for the mean value of y at x = 2.5 is: (2.18, 4.44) coefficient of determination is 0.6352