The following data give the area (in square feet) and the sale prices (approximated to the nearest $1000) of homes that were sold in a particular city in a six-week period of 2003.

(a) Obtain a dotplot and describe the home price data.
(b) Identify any outliers and test for normality with and without outliers for home price data. If the data are not normal, does any simple transformation make the data normal?
(c) Obtain a 95% confidence interval for home price.
(d) Do parametric or nonparametric methods seem more appropriate for the data?
(e) Obtain a scatterplot between the square-foot area of a home and its price.
(f) Fit a least-squares regression line and run a residual model diagnostics using Minitab.

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Area: 1123 1028 1490 2172 2300 1992 3200 3063 3720 7228 720 943 904 912 103 152 1482 1426 1491 1184 1650 1392 755 2062 2495 3253 5152 1270 723 1161 220 837 1446 2442 2300 2518 102 149 152 154 327 425 625 Price: 75 75 86 775 775 57 95 95 67 67 110 65 74 95 156 183 207 104 105 135 159 169 253 725