The following data show the curb weight, horsepower, and 1 4mile speed for 16 popular sports and GT cars. Suppose that the price of each sports and GT car is also available. The complete data set is as follows. Sports & GT Car Price ($1,000s) Curb Weight (lb.) Horsepower Speed at 1 4Mile (mph) Acura Integra Type R 25.035 2577 195 90.7 Acura NSX-T 93.758 3066 290 108.0 BMW Z3 2.8 40.900 2844 189 93.2 Chevrolet Camaro Z28 24.865 3439 305 103.2 Chevrolet Corvette Convertible 50.144 3246 345 102.1 Dodge Viper RT/10 69.742 3319 450 116.2 Ford Mustang GT 23.200 3227 225 91.7 Honda Prelude Type SH 26.382 3042 195 89.7 Mercedes-Benz CLK320 44.988 3240 215 93.0 Mercedes-Benz SLK230 42.762 3025 185 92.3 Mitsubishi 3000GT VR-4 47.518 3737 320 99.0 Nissan 240SX SE 25.066 2862 155 84.6 Pontiac Firebird Trans Am 27.770 3455 305 103.2 Porsche Boxster 45.560 2822 201 93.2 Toyota Supra Turbo 40.989 3505 320 105.0 Volvo C70 41.120 3285 236 97.0 (a) Find the estimated regression equation that uses price (in thousand dollars) and horsepower to predict 1 4mile speed (in mph). (Let x1 represent price, x2 represent horesepower, and y represent speed. Round your numerical values to two decimal places.) ŷ =

Ta Q The lengths (in kilometers) of a random sample of 22 rivers on the South Island of New Zealand that flow to the Pacific Ocean are listed in table below. Lengths of Rivers (in km) 66 93 138 95 64 322 90 161 167 72 56 80 169 64 121 209 98 97 145 140 288 97

Please answer all these questions and label, data included: Size($) Rent(sq.feet) 850 1950 1450 2600 1085 2200 1232 2500 718 1950 1485 2700 1136 2650 726 1935 700 1875 956 2150 1100 2400 1285 2650 1985 3300 1369 2800 1175 2400 1225 2450 1245 2100 1259 2700 1150 2200 896 2150 1361 2600 1040 2650 755 2200 1000 1800 1200 2750   10. Based on all of the above questions, what will you conclude about the relationship between house size and rent price?       11. Construct a 95% confidence interval estimate of the population slope, β1.         12. Construct a 95% confidence estimate of the mean renting cost of a house that is 2000 square feet.         13. Construct a 95% prediction interval of the renting cost of an individual house that is 2000 square feet.

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