The following data is expected to follow the law y = ax b . Determine a and b by least squares and discuss the goodness of the fit by: a. calculating the index of correlation and b. performing a χ 2...

The following data is expected to follow the law y = ax^b. Determine a and b by least squares and discuss the goodness of the fit by: a. calculating the index of correlation and b. performing a χ²
test

Make different types of plots. Estimate the value of y when x= 3, 7.5. Specify errors for these.