1.|n this question you will produce two sideby-side graphs of a classic data set analyzed by Hald (1952} and included by Hand et al. in The Handbook of Small Data Sets. Hand et al. introduce the data set as follows: "The tensile strength of cement depends on {among many things) the length of time for which the cement is dried or 'cured'. In an experiment, different batches of cement were tested for tensile strength after different curing times. The relationship between curing time and strength is nonlinear. Hald regresses log tensile strength on the reciprocal of curing time.\" Curing time is measured in days, and tensile strength has units of kgfcm'l. [allObtain scatterplots ofthe original data [Tensile Strength on Curing Time} and on the data as transformed by Hald, that is longensile Strength} on {Curing Time}!1. For consistency let's use natural logarithms {base e logs} here. [blobtain the simple linear regression equation for predicting the log{Tensile Strength] from the reciprocal of the Curing Time. Fit the regression equation on the scatterplot ofthe transformed data. clfit the backtransformed regression equation on the scatterplot ofthe originalluntransformed} data. You will hand in the two graphs, plotted sidebyside (or top and bottom] on one page, with the tted regression equation superimposed on the scatterplots of the untransformed and transformed data. Label 1your graphs appropriately. (d}Based on the model you should have fit, what is the predicted tensile strength for cement that has been cured for 14 days