Find the linear regression equation explaining dog's life span (y) as a linear function of weight (w) and blood pressure (p): ý = bo + b1 + b2p. Also compute the inferential statistics discussed in lecture. Breed Weight w (lb) Blood pressure p (mmHg) Life span y (years) 1. Set up the data matrix X = #1 2. Compute (XTX)-1 Chihuahua Beagle Border Collie 4 23 77 128 15 13 = (1) 37 146 12 #2 Afghan Hound 51 149 11 and construct X in a way such that B = [bo] is obtained in accordance with Eq. (1). Arrange the components of the vectors as 3. Using the normal equation, compute the regression coefficients bo = and b₂ = #5 Chihuahua Beagle Border Collie Afghan Hound] = #3 b₁ #4 4. Write down the regression equation, and predict the life span of a dog whose weight is 30lb and average blood pressure is 128 mmHg. Expected life span #6 years.

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