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 below. Home Home Ownership Ownership Household Income Status Household Income Status 1 38,000 0 11 38,700 1 2 51,200 1 12 40,100 0 3 39,600 0 13 49,500 1 4 43,400 1 14 38,000 0 5 47,700 0 15 42,000 1 6 53,000 0 16 54,000 1 7 41,500 1 17 51,700 1 8 40,800 0 18 39,400 0 9 45,400 1 19 40,900 0 10 52,400 1 20 52,800 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. [1. Does the model deviance indicate that the logistic regression model from part a is adequate? c. Provide an interpretation of the parameter B1 in this model. (1. Expand the linear predictor to include a quadratic term in income. Is there any evidence that this quadratic term is required in the model