Pressure Voltage (psi) (V) 0.0 0.208 1.0 0.464 2.0 1.130 3.0 1.487 4.0 2.016 2.398 5.0 6.0 3.006 7.0 3.257 8.0 3.699 9.0 4.190 10.0 4.657 Table 1: Gauge pressure data used in this homework assignment. Problem #4: Using your results from Problem #1 and #2, calculate the r2 coefficient, where r is the correlation coefficient. What does your answer suggest about how well the curve fit matches the data? Problem #1: For this problem you will perform a linear regression of the pressure data to determine the curve fit of the data, yo = ai x + do. In Matlab, the coefficients of a yc a polynomial fit to the data can be found using polyfit( ). Calculate the value of the coefficients ay and do. Problem #2: Plot the linear curve fit, yc, calculated using the coefficients from Problem #1. Plot the data from Table 1 on the same graph. Make sure that you label the axes. Pressure Voltage (psi) (V) 0.0 0.208 1.0 0.464 2.0 1.130 3.0 1.487 4.0 2.016 2.398 5.0 6.0 3.006 7.0 3.257 8.0 3.699 9.0 4.190 10.0 4.657 Table 1: Gauge pressure data used in this homework assignment. Problem #4: Using your results from Problem #1 and #2, calculate the r2 coefficient, where r is the correlation coefficient. What does your answer suggest about how well the curve fit matches the data? Problem #1: For this problem you will perform a linear regression of the pressure data to determine the curve fit of the data, yo = ai x + do. In Matlab, the coefficients of a yc a polynomial fit to the data can be found using polyfit( ). Calculate the value of the coefficients ay and do. Problem #2: Plot the linear curve fit, yc, calculated using the coefficients from Problem #1. Plot the data from Table 1 on the same graph. Make sure that you label the axes