The elastic limit5 and ultimate strength\" of reinforcing steel'Jr are often stated to be a function of the bar sine owing to differences in the rate of cooling when rolled. The data given in Table 3 were obtained by testing a random sample of the delivered reinforcing steel for a particular job. The \"bar size\" is given in terms of \"bar numb-ed\". The \"her number" equals the diameter of the bar in Male of an inch. The \"elastic limit" and \"ultimate strength" are given in [psi]. The steel was classed as \"intermediate grade". a. Are the elastic limit and ultimate strength correlated? Compute and report the corre- lation eoeicient between the elastic limit and the ultimate strength. Plot the Elastic Limit [abscissa] versus the Ultimate Strength (ordinate). Does the data \"look\" corre- lated to your eye? b. The elastic limit may vary linearly with bar diameter or with the bar area\". Carry out a regression analysis of the elastic limit as a function of the bar size. The elastic limit is the dependent sen'abie the her size is the independent tremble. Compare and contrast the bar diameter and the bar area models. Which appears to be a better t? Why do you think so? Bar Size Elastic Limit Ultimate Strength # [Psi] [Psi] 3 4 4 4 5 5 5 6 7 8 9 ._. D H ll Table 3: Reinforcing steel data