People in real estate are interested in predicting the price of a house by the square footage, and predictions will varv based on geographic area. We look at predicting prices [in 510003} of houses in New York state based on the size {in thousands of square feet]. A random sample of 30 houses for sale in New York state with several variables is attached to this assignment. {2"d ed W Use technology:I and this attached dataset to answer the following questions: a. Generate a scatterplot with regression line predicting Price from SIZE. Attach a screenshot of this plot with your homework submission. ls square footage an effective predictor of price for houses in New York? Explain. b. What is the regression equation predicting Price from Size? c. Use the regression equation to nd a point estimate for the price of a ZODDsquarefoot New York home. Show your calculations. Be careful about units, as both variables are measured in thousands. d. Use the prediction output provided for the following. Variable mung M Size 2 571.91 74.45 (419.40. 724.42) {-277.16,1420.98) [Q Interpret the 95% condence interval given. {ii} Interpret the 95% prediction interval given