The following data represents a report about the x: carbon amount (in mg per 1gsteel) and y: the ultimate tensile strength of steel (in MPa):x 100 125 125 150 150 200 200 250 250 300 300 350 402y 155 142 180 210 190320 280 400 430 440 390 600 610408670f. Estimate the average value of the steel tensile strength when the carbon amount is 320 mg/g, andconstruct a 95% confidence interval for this estimate.g. Predict the strength of the steel when the carbon amount is 200 mg/g and construct a 95%prediction interval.

Let us consider the linear relations between Corbon content (X) and tensile strength (Y) on each…

The following data represents a report about the x: carbon amount (in mg per 1g steel) and y: the ultimate tensile strength of steel (in MPa): x 100 125 125 150 150 | 200 200 250 | 250 300 300 350 | 402 | 408 y 155 142 | 180 | 210 | 190 320 280 | 400 430 | 440 | 390 | 600 | 610 |670 f. Estimate the average value of the steel tensile strength when the carbon amount is 320 mg/g, and construct a 95% confidence interval for this estimate. g. Predict the strength of the steel when the carbon amount is 200 mg/g and construct a 95% prediction interval.