I just need a guide for my upcoming exam.

I do not intent to upload tutors work as my own.

Thank you

Open R and verify that the mtcars dataset is automatically loaded. head (atcars) mpg cyl disp hp drat wt quoc vs am gear carb Wu Mazda RX4 21.0 6 160 110 3.90 2.620 16.46 0 1 ## Mazda RX4 Wag 21.0 6 160 110 3.90 2.875 17.02 0 1 ## Datsun 710 22.8 4 108 93 3. 85 2. 320 18.61 1 1 ## Hornet 4 Drive 21.4 6 258 110 3.08 3.215 19.44 1 ## Hornet Sportabout 18.7 8 360 175 3. 15 3. 440 17.02 0 0 ## Valiant 18.1 6 225 105 2.76 3.460 20.22 1 You are interested in the following model: mapg = 0 + Dihp + But + a Your task is to figure out what the ols estimate for #, would be, without conducting a multiple regression in R. instead only relying on simple regressions. Applying the regression anatomy formula, cou(v. ri) par(ri) where rj is the residual from a regression of hp on wi. 1. Use R to compute the residuals ri, then compute the numerator of the regression anatomy formula. 2. Compute the denominator of the regression anatomy formula. 3. Explain, in a sentence or two, why this method works to compute