# Stats Matlab

matlab work Need in 10  hours

1)The acceleration of certain objects is studied in an experimental test track for automobiles. The distance traveled by an object L is measured as a function of time t to yield the following:
 t(s) 0.1 0.2 0.5 1 1.5 1.8 2 3 L(m) 0.26 0.55 1.56 3.9 7.41 10.28 12.6 30.9

Obtain a best fit to this data, considering first-,second, and third-order polynomials. Using these polynomials, calculate the values of the dependent variable L at the time intervals employed for the given data to evaluate the accuracy of the polynomial representations. Discuss the results obtained.

2)The temperature T of a small copper sphere cooling in air is measured as a function of time t to yield the following:

 t(s) 0.2 0.6 1 1.8 2 3 5 6,0 8 T(C) 146 129.5 114.8 90.3 85.1 63 34.6 25.6 14.1
An exponential temperature decrease is expected from theoretical considerations. Using linear regression, obtain the exponent c and the constant C, where
T=Ce^(-ct) represents the variation. Also, solve this problem using the polyfit function in MATLAB.