9. Hooke's law states that the force (F) needed to extend or compress a spring by some distance (at) scales linearly with respect to that distance that is, F = lg, where k is a constant factor characteristic of the spring It (Hooke's law} must eventually fail once the forces exceed some limit a homogeneous rod with uniform cross section will behave like a simple spring when stretched ...Z If a rod has a uniform cross-sectional area of A and a length of L, him Law may be written as A F=REI or F x 32kt . F . , . . With 0' E 3' called stress, and s E 1\\fPlot stress against strain in a scatter plot. From the scatter plot. can we identify the elastic range of strain? Perform a linear regression of stress on strain only using the data that appears to have linear trend. What is r2 value?r ls r2 value reasonable enough to make linear model acceptable. If an r2 value of 0.95 is an acceptable value for the model to be considered linear, what is the maximum strain value up to which the material is elastic. Use Excel or Python to calculate Standard Error of Estimate (or MSE). What is the estimated stress corresponding to a strain of 100? Make sure to report it as an interval estimate with the associated condence level. Now using the entire data, perform a polynomial regression of degree 6. Calculate MSE for this model. Using the sixth-degree polynomial model, calculate the estimated stress corresponding to a strain of 100? Make sure to report it as an interval estimate with the associated condence level