1. The data in the table below are the results of a random sample of recent home

1. The data in the table below are the results of a random sample of recent home sales in your neighborhood that your boss has asked you to use to estimate the relationship between the selling price of the house and the number of square feet in it. Observation Number Sale Price (in thousands) Square Feet (in hundreds)1 280 20.32 328 30.03 281 21.54 293 25.45 263 14.56 291 22.37 320 31.08 256 37.29 311 27.110 352 30.211 288 21.212 356 37.213 293 23.014 272 26.715 308 26.5a. First plot the data with number of square feet on the X axis and the price of the house on the Y axis. Explain why housing price is the dependent variable and square feet is the independent variable.b. What is the estimated regression line? What does the coefficient of square feet represent?c. Is the sample size large enough for the estimated coefficient of square feet to be statistically significant at the 5% level?d. What is the coefficient of determination (R2)?e. Perform an F-test again at the 5% level.