A study was conducted attempting to relate home ownership to family income. Twenty households were selected and family income was estimated along with information concerning home ownership (y = 1 indicates yes and y=0 indicates no). The data are shown in the table below. Household Income Home Ownership Status 1 0 2 1 3 0 4 5 0 6 0 1 7 8 0 9 1 1 10 11 12 38,000 51,200 39,600 43,400 47,700 53,000 41,500 40,800 45,400 52,400 38,700 40,100 49,500 38,000 42,000 54,000 51,700 39,400 40,900 52,800 1 0 1 13 14 0 15 1 1 16 17 1 18 0 0 19 20 1 a. Fit a logistic regression model to the response variable y. Use a simple linear regression model as the structure for the linear predictor. Give your coefficients with 3 significant digits. 1