QUESTION 1 In a fictitious experiment replicating a classic work of Grunberg, Meycock, and Authery (1985), A. Nonymous & U. Naymit (2009) wanted to know if there is an age related change in altruism in children (i.e., the older children are the more generous they are). In order to do so, they measured the number of pennies children donated to to a charity. The children were given an opportunity to donate any or all of 10 pennies given to them by the experimenter. In their paper, the authors report that: A total of 6 children participated in the experiment. The mean age was equal to 4 years (with an estimated standard deviation = 1.4). The mean number of pennies given was equal to 3 (with an estimated standard deviation = 2.0). The Pearson coefficient of correlation between age and number of pennies given was equal to 0.84. (i) The authors were interested in creating a model to predict the number of pennies donated based on the age of the children. What is the most appropriate method that they could use: (ii) Compute the values of the slope b = and intercept a = (iii) Compute the predicted number of pennies that will be donated by a child who is 4 years old: (iv) Compute the value of the coefficient of determination: (v) Compute the value of the appropriate test statistic (i.e., Z, t, chi-square, F, etc.) to examine the relationship between age and altruism: (vi) What is the critical value of the appropriate test statistic against which the authors need to compare their computed value at the 0.05 level: (vii) What is the statistical conclusion the authors can make at the 0.05 level