Question
Value Price Square_Footage Number_Bedrooms 1.193700000e+002 1.218700000e+002 2.050000000e+001 4.000000000e+000 1.489300000e+002 1.502500000e+002 2.200000000e+001 4.000000000e+000 1.303900000e+002 1.227800000e+002 1.590000000e+001 3.000000000e+000 1.357000000e+002 1.443500000e+002 1.860000000e+001 3.000000000e+000 1.263000000e+002 1.162000000e+002 1.210000000e+001 2.000000000e+000 1.370800000e+002
Value Price Square_Footage Number_Bedrooms 1.193700000e+002 1.218700000e+002 2.050000000e+001 4.000000000e+000 1.489300000e+002 1.502500000e+002 2.200000000e+001 4.000000000e+000 1.303900000e+002 1.227800000e+002 1.590000000e+001 3.000000000e+000 1.357000000e+002 1.443500000e+002 1.860000000e+001 3.000000000e+000 1.263000000e+002 1.162000000e+002 1.210000000e+001 2.000000000e+000 1.370800000e+002 1.394900000e+002 1.710000000e+001 3.000000000e+000 1.234900000e+002 1.157300000e+002 1.670000000e+001 3.000000000e+000 1.508300000e+002 1.405900000e+002 1.780000000e+001 3.000000000e+000 1.234800000e+002 1.202900000e+002 1.520000000e+001 4.000000000e+000 1.320500000e+002 1.472500000e+002 1.830000000e+001 2.000000000e+000 1.482100000e+002 1.522600000e+002 1.700000000e+001 3.000000000e+000 1.395300000e+002 1.448000000e+002 1.720000000e+001 3.000000000e+000 1.143400000e+002 1.070600000e+002 1.670000000e+001 3.000000000e+000 1.400400000e+002 1.474700000e+002 1.650000000e+001 3.000000000e+000 1.360100000e+002 1.351200000e+002 1.610000000e+001 2.000000000e+000 1.409300000e+002 1.402400000e+002 1.570000000e+001 3.000000000e+000 1.324200000e+002 1.298900000e+002 1.650000000e+001 4.000000000e+000 1.183000000e+002 1.211400000e+002 1.640000000e+001 3.000000000e+000 1.221400000e+002 1.112300000e+002 1.420000000e+001 2.000000000e+000 1.498200000e+002 1.451400000e+002 2.070000000e+001 4.000000000e+000 1.289100000e+002 1.390100000e+002 1.610000000e+001 2.000000000e+000 1.346100000e+002 1.293400000e+002 1.910000000e+001 4.000000000e+000 1.219900000e+002 1.136100000e+002 1.410000000e+001 2.000000000e+000 1.505000000e+002 1.410500000e+002 1.860000000e+001 4.000000000e+000 1.428700000e+002 1.529000000e+002 1.990000000e+001 4.000000000e+000 1.555500000e+002 1.577900000e+002 2.270000000e+001 5.000000000e+000 1.285000000e+002 1.355700000e+002 1.970000000e+001 4.000000000e+000 1.433600000e+002 1.519900000e+002 1.820000000e+001 3.000000000e+000 1.196500000e+002 1.205300000e+002 1.650000000e+001 3.000000000e+000 1.225700000e+002 1.186400000e+002 1.470000000e+001 2.000000000e+000 1.452700000e+002 1.495100000e+002 1.850000000e+001 4.000000000e+000 1.497300000e+002 1.468600000e+002 2.170000000e+001 4.000000000e+000 1.477000000e+002 1.438800000e+002 1.930000000e+001 3.000000000e+000 1.175300000e+002 1.185200000e+002 1.380000000e+001 2.000000000e+000 1.401300000e+002 1.460700000e+002 1.810000000e+001 3.000000000e+000 1.365700000e+002 1.353500000e+002 1.760000000e+001 3.000000000e+000 1.304400000e+002 1.215400000e+002 1.530000000e+001 2.000000000e+000 1.181300000e+002 1.329800000e+002 1.700000000e+001 3.000000000e+000 1.309800000e+002 1.475300000e+002 1.980000000e+001 4.000000000e+000 1.313300000e+002 1.284900000e+002 1.590000000e+001 2.000000000e+000 1.411000000e+002 1.419300000e+002 1.740000000e+001 3.000000000e+000 1.178700000e+002 1.235500000e+002 1.730000000e+001 3.000000000e+000 1.605800000e+002 1.620300000e+002 2.100000000e+001 5.000000000e+000 1.511000000e+002 1.573900000e+002 2.040000000e+001 4.000000000e+000 1.201500000e+002 1.145500000e+002 1.730000000e+001 2.000000000e+000 1.331700000e+002 1.395400000e+002 1.680000000e+001 2.000000000e+000 1.401600000e+002 1.499200000e+002 2.050000000e+001 4.000000000e+000 1.245600000e+002 1.220800000e+002 1.750000000e+001 3.000000000e+000 1.279700000e+002 1.365100000e+002 1.870000000e+001 4.000000000e+000 1.019300000e+002 1.094100000e+002 1.330000000e+001 2.000000000e+000 1.314700000e+002 1.272900000e+002 1.700000000e+001 3.000000000e+000 1.212700000e+002 1.204500000e+002 1.460000000e+001 2.000000000e+000 1.435500000e+002 1.519600000e+002 1.910000000e+001 3.000000000e+000 1.368900000e+002 1.325400000e+002 1.610000000e+001 2.000000000e+000 1.061100000e+002 1.143300000e+002 1.470000000e+001 2.000000000e+000 1.375400000e+002 1.413200000e+002 1.810000000e+001 3.000000000e+000 1.343300000e+002 8.376000000e+001 1.650000000e+001 2.000000000e+000 1.275900000e+002 1.182000000e+002 1.520000000e+001 2.000000000e+000 1.374400000e+002 1.402000000e+002 1.920000000e+001 4.000000000e+000 1.140900000e+002 1.135500000e+002 1.410000000e+001 2.000000000e+000 1.454600000e+002 1.565200000e+002 2.030000000e+001 3.000000000e+000 1.419000000e+002 1.373500000e+002 1.950000000e+001 3.000000000e+000 1.163400000e+002 1.106100000e+002 1.340000000e+001 2.000000000e+000 1.492000000e+002 1.536900000e+002 1.850000000e+001 3.000000000e+000 1.418100000e+002 1.533300000e+002 1.780000000e+001 3.000000000e+000 1.164400000e+002 1.119500000e+002 1.440000000e+001 2.000000000e+000 1.377400000e+002 1.434600000e+002 2.040000000e+001 4.000000000e+000 1.447000000e+002 1.421300000e+002 2.160000000e+001 5.000000000e+000 1.496600000e+002 1.554600000e+002 2.170000000e+001 4.000000000e+000 1.181700000e+002 1.354400000e+002 1.710000000e+001 2.000000000e+000 1.376600000e+002 1.273000000e+002 1.640000000e+001 3.000000000e+000 1.197000000e+002 1.137700000e+002 1.380000000e+001 2.000000000e+000 1.431200000e+002 1.411100000e+002 2.100000000e+001 5.000000000e+000 1.299100000e+002 1.300800000e+002 1.610000000e+001 2.000000000e+000 1.417800000e+002 1.393500000e+002 1.950000000e+001 4.000000000e+000 1.591900000e+002 1.600300000e+002 2.080000000e+001 5.000000000e+000 1.561300000e+002 1.528400000e+002 1.960000000e+001 3.000000000e+000 1.267200000e+002 1.222700000e+002 1.920000000e+001 4.000000000e+000 1.332200000e+002 1.458800000e+002 1.920000000e+001 4.000000000e+000 1.180900000e+002 1.154700000e+002 1.490000000e+001 2.000000000e+000 1.416300000e+002 1.357200000e+002 1.600000000e+001 2.000000000e+000 1.385600000e+002 1.361600000e+002 1.650000000e+001 3.000000000e+000 1.341000000e+002 1.449200000e+002 1.890000000e+001 4.000000000e+000 1.322400000e+002 1.312900000e+002 1.620000000e+001 3.000000000e+000 1.458200000e+002 1.385300000e+002 1.820000000e+001 3.000000000e+000 1.271500000e+002 1.240500000e+002 1.750000000e+001 3.000000000e+000 1.050700000e+002 1.079000000e+002 1.460000000e+001 2.000000000e+000 1.272000000e+002 1.234500000e+002 1.530000000e+001 3.000000000e+000 1.115600000e+002 1.117000000e+002 1.540000000e+001 2.000000000e+000 1.504100000e+002 1.451400000e+002 1.950000000e+001 3.000000000e+000 1.291500000e+002 1.204400000e+002 1.480000000e+001 3.000000000e+000 1.303100000e+002 1.368700000e+002 2.050000000e+001 4.000000000e+000 1.292300000e+002 1.403000000e+002 1.660000000e+001 3.000000000e+000 1.050600000e+002 1.137800000e+002 1.540000000e+001 2.000000000e+000 1.342100000e+002 1.412300000e+002 1.720000000e+001 3.000000000e+000 1.092500000e+002 1.048300000e+002 1.400000000e+001 2.000000000e+000 1.273500000e+002 1.187900000e+002 1.580000000e+001 3.000000000e+000 1.040100000e+002 1.120400000e+002 1.700000000e+001 3.000000000e+000 1.339400000e+002 1.372700000e+002 1.880000000e+001 4.000000000e+000 1.411300000e+002 1.457100000e+002 1.850000000e+001 3.000000000e+000 1.365300000e+002 1.383800000e+002 1.430000000e+001 2.000000000e+000 1.180400000e+002 1.094600000e+002 1.390000000e+001 2.000000000e+000 1.537000000e+002 1.446800000e+002 2.130000000e+001 4.000000000e+000 1.263100000e+002 1.332700000e+002 1.890000000e+001 4.000000000e+000 1.340200000e+002 1.332700000e+002 1.640000000e+001 2.000000000e+000 1.415600000e+002 1.503800000e+002 2.070000000e+001 3.000000000e+000 1.429600000e+002 1.352600000e+002 1.810000000e+001 3.000000000e+000 1.185300000e+002 1.126000000e+002 1.460000000e+001 2.000000000e+000 1.215900000e+002 1.142300000e+002 1.410000000e+001 2.000000000e+000 1.464000000e+002 1.532400000e+002 2.190000000e+001 4.000000000e+000 1.412500000e+002 1.258900000e+002 1.580000000e+001 3.000000000e+000 1.307300000e+002 1.356200000e+002 1.840000000e+001 3.000000000e+000 1.326500000e+002 1.388200000e+002 1.930000000e+001 3.000000000e+000 1.255700000e+002 1.294300000e+002 1.930000000e+001 4.000000000e+000 1.257400000e+002 1.364500000e+002 1.820000000e+001 3.000000000e+000 1.202200000e+002 1.267400000e+002 1.480000000e+001 2.000000000e+000 1.282900000e+002 1.300900000e+002 1.600000000e+001 2.000000000e+000 1.368900000e+002 1.326800000e+002 1.880000000e+001 3.000000000e+000 1.424300000e+002 1.428900000e+002 1.780000000e+001 3.000000000e+000 1.193100000e+002 1.270400000e+002 1.920000000e+001 3.000000000e+000 1.203700000e+002 1.314500000e+002 1.830000000e+001 4.000000000e+000 1.188300000e+002 1.145700000e+002 1.470000000e+001 2.000000000e+000 1.244900000e+002 1.295600000e+002 1.690000000e+001 3.000000000e+000 1.405700000e+002 1.495500000e+002 1.930000000e+001 4.000000000e+000 1.336200000e+002 1.408200000e+002 1.970000000e+001 2.000000000e+000 1.050500000e+002 1.115500000e+002 1.530000000e+001 2.000000000e+000 1.470900000e+002 1.427600000e+002 2.030000000e+001 5.000000000e+000 1.154300000e+002 1.242500000e+002 1.830000000e+001 3.000000000e+000 1.253700000e+002 1.323200000e+002 2.070000000e+001 3.000000000e+000 1.159700000e+002 1.214500000e+002 1.630000000e+001 2.000000000e+000 1.252100000e+002 1.324500000e+002 1.580000000e+001 3.000000000e+000 1.303700000e+002 1.358300000e+002 1.760000000e+001 3.000000000e+000 1.197500000e+002 1.257600000e+002 1.810000000e+001 4.000000000e+000 1.209300000e+002 1.258400000e+002 1.710000000e+001 3.000000000e+000 1.268000000e+002 1.353200000e+002 1.890000000e+001 3.000000000e+000 1.188200000e+002 1.201400000e+002 1.640000000e+001 2.000000000e+000 1.440800000e+002 1.475300000e+002 2.010000000e+001 4.000000000e+000 1.424900000e+002 1.449400000e+002 1.730000000e+001 3.000000000e+000 1.405500000e+002 1.360100000e+002 1.770000000e+001 4.000000000e+000 1.303600000e+002 1.193300000e+002 1.750000000e+001 4.000000000e+000 1.242700000e+002 1.311500000e+002 1.660000000e+001 3.000000000e+000 1.677300000e+002 1.723600000e+002 2.510000000e+001 5.000000000e+000 1.291900000e+002 1.371700000e+002 1.700000000e+001 2.000000000e+000 1.251800000e+002 1.247100000e+002 1.660000000e+001 3.000000000e+000 1.575100000e+002 1.486500000e+002 2.110000000e+001 4.000000000e+000 1.266700000e+002 1.285200000e+002 1.430000000e+001 2.000000000e+000 1.375700000e+002 1.320200000e+002 1.710000000e+001 4.000000000e+000 1.334600000e+002 1.280300000e+002 1.580000000e+001 2.000000000e+000 1.635700000e+002 1.680600000e+002 2.350000000e+001 5.000000000e+000 1.184600000e+002 1.149200000e+002 1.420000000e+001 2.000000000e+000 column 2 is the price of the house in thousands of dollars and column 3 is the size in hundreds of square feet. (a) Plot price vs size. Do you see a linear relationship? (b) Obtain the equation of the line regression fits to the data. Plot the regression fitted line on the scatterplot. What price do you predict for a house with size 20 ? (c) Do you notice anything unusual in the scatterplot ? (d) Obtain the correlation between the size and price. Square it. Compare this value to the "R-sq" value on the regression output.
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