Below is a table showing some of the results from the multiple regression analysis described in Exercise 15. Here we were attempting to link winning percentage (y) to daily practice time (x₁), average speed of first serve (x₂), and first serve percentage (x₃) using data from a group of 12 professional tennis players who were monitored over the past year.

Build a 95% confidence interval estimate of each of the regression coefficients β₁, β₂ and β₃.

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Coeff -58.050 avg serve speed (mph) 0.418 1.806 0.419 Std Error 29.651 0.204 0.562 0.129 ntercept weekly practice hours first serve percentage