While shopping for an air conditioner, a buyer tonsulted the following table giving a machine's BTUS and the square footage () that it would cool (x) BTUS (y) 51005400635067007275 78258300 8550 9750 9900 150 175 230 250 285 315 350 360 435 450 (a) Find a linear model for the data (b) Use the results from part (a) to find the number of BTUS required to cool rooms of 360 435 , and 450 (c) Suppose a room meanures 215 Use the results from part (a) to decide how many STUS it requires if the air conditioners are available only with the BTU cholces in the table which is the best choice? (a) Find a linear model for the data Find the least squares regression ine Once you have found the line in yxb form, input the values of m and b into the appropriate boxes below A linear model for the data is y (Round to the nearest whole number as needed)

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