The temperature at various times on a summer day at a resort in southern California ...

      The temperature at various times on a summer day at a resort in   southern California is given in the following table. The variable t is the   number of minutes after 6:00 A.M., and the variable T is the temperature in   degrees Fahrenheit.   t (min) T   (°F)   20 57    40 64    80 72    120 80    160 81    200 85    240 85    280 90    320 85    360 85    400 78    (a) Find a   quadratic model for these data. (Round your coefficients to five decimal   places.   T =        (b) Use the   model to predict the temperature at 1:00 P.M. Round to the nearest tenth of a   degree.   °F