A retailer of handheld digital organizers conducted a study to relate ownership of the devices with annual income of heads of households. Data were collected for a random sample of 20 households with y = {1 if owns a digital organizer, 0 if not} and 2;: annual income (in $1000). a) Use the logistic regression to model the relationship of ownership of the devices with annual income of heads of households. 13) Interpret the model. 3) Find the predicted probability of ownership of devices. Test the income ef ect at 5% level. e) Find and interpret the residuals of the model. i) Test for lack of fit at 5% level.