The cost of a home depends on the number of bedrooms in the house. suppose the following data is recorded for homes in a given town price (in thousands) 300 250 400 550 317 389 425 289 389 559 no. bedrooms 3 3 4 5 4 3 6 3 4 5 a) make a scatterplot b) fit the data with a least squares regression line. c) give a 95% confidence interval for the slope. d) if one house has one more number of rooms than another house, how much additional cost would we expect for the price? e) test the hypothesis that an extra bedroom costs $60,000 against the alternative that it costs more.