SOLUTION: 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 th

Algebra ->  Inequalities -> SOLUTION: 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 th      Log On


   



Question 1130631: 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 62
40 61
80 67
120 76
160 81
200 79
240 84
280 87
320 84
360 85
400 78
(a) Find a quadratic model for these data. (Round all numerical values 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

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
enter these and pick quadratic regression
y=-0.000365 x^2+.20835 x+55.15807
1 pm is 7 hours after 6 am or 420 minutes and temperature is 78.3 degrees
graph%28300%2C300%2C-50%2C500%2C-20%2C90%2C-0.000365x%5E2%2B.20835x%2B55.15807%29