2. This model describes the demand for coffee per week for individuals in a sample Y-10 -2*P+ 0.095*PI t 3 -2.5 2 r-square= .95, n=17 Y = demand for coffee measured in cups by individual i PI - personal income of individual i P=price of coffee in Sicup Please answer the following questions: (30 points, 6 points each) a. Explain the estimated parameters of the explanatory variables (discuss their signs and magnitudes) b. What do the t values mean? Use t-table for answers. Assume 5% critical, 2-tailed. Hint: split the one-tailed critical into the size c. Derive the standard errors of the parameters. Show your work. d. Is the PI estimated parameter statistically different than 0.1? Set up a test. Include degrees of freedom e. Set up an F test to determine if the explanatory variables are statistically significant (Hint: use the R- square and calculate degrees of freedom) 2. This model describes the demand for coffee per week for individuals in a sample Y-10 -2*P+ 0.095*PI t 3 -2.5 2 r-square= .95, n=17 Y = demand for coffee measured in cups by individual i PI - personal income of individual i P=price of coffee in Sicup Please answer the following questions: (30 points, 6 points each) a. Explain the estimated parameters of the explanatory variables (discuss their signs and magnitudes) b. What do the t values mean? Use t-table for answers. Assume 5% critical, 2-tailed. Hint: split the one-tailed critical into the size c. Derive the standard errors of the parameters. Show your work. d. Is the PI estimated parameter statistically different than 0.1? Set up a test. Include degrees of freedom e. Set up an F test to determine if the explanatory variables are statistically significant (Hint: use the R- square and calculate degrees of freedom)