Question: An IT project manager wants to predict the average productivity of her software engineers, specifically the relationship between the number of lines of code written

An IT project manager wants to predict the average productivity of her software engineers, specifically the relationship between the number of lines of code written by engineers and the time taken to write them (hrs). Using past data on roughly 51 engineers, she establishes the following relationship:Estimated time (hrs) = 7 + 0.06 lines.The manager checks the residual plots and concludes that all assumptions, including that about the distribution of the error term, are satisfied. She also finds that 90% of the residuals lie between 5 hrs. What would be her APPROXIMATE 95% prediction interval for the time taken by one software engineer to write 1500 lines of code?

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