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I'm doing a simple linear regression and given a table with x and y values. Please explain in detail how I can calculate this (not

I'm doing a simple linear regression and given a table with x and y values. Please explain in detail how I can calculate this (not just running a regression analysis using excel).

By using R, find a point prediction of and a 95% prediction interval for the actual x for Clean when the y is 0.10. Is this interval wider than the confidence interval for the mean of x? Answer by comparing the half-lengths numerically.

If possible, please make an example data set with 30 values of x and y just to see how I can calculate these using the data set provided to me.

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