1) The increase in length of a metal bar is given by the following expression AL = αATLO where AL is the change in lengt

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1) The increase in length of a metal bar is given by the following expression AL = αATLO where AL is the change in length given a change in temperature, AT, Lo is the initial length of the bar, and a is a constant known as the coefficient of thermal expansion. The following data gives the length of a steel bar at various temperatures. 60 70 90 100 T (°C) L (pulgadas) 30 40 50 80 239.95 239.97 239.98 240.00 240.02 240.03 240.05 240.06 i) Determine the coefficient of thermal expansion of the steel. Obtain the uncertainty of the value found for the coefficient of thermal expansion. Get the correlation coefficient. 2) Adjust the data of the previous exercise to: a second degree polynomial ii) a third degree polynomial a fourth degree polynomial For the polynomial y = a + a₁x + a₂x²+...+ anx", suppose that the relationship aLo = a holds, what value is obtained for the coefficient of thermal expansion with the polynomials of second, third and fourth grade? = Ne