27-16. Prove that:(a) If R123 = 0, X1 is uncorrelated with any of other variables i.e., r12=r13 = 0.(b) If R1-23 = 1, then linear regression of X, on X, and X3 is perfect.

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Answered: 27-16. Prove that: (a) If R = 0, X, is…

MATLAB: An Introduction with Applications

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4. Our R² implies that lots of stuff, other than health, also affects doctor visits. One such thing is a person's insurance status. The data file includes a third variable that records whether the person had health insurance during 2019. Estimation a regression of the form y = Bo + B₁x1 + B₂x₂ where x₁ is the health status variable from above, but now x₂ records whether the person had insurance. a) Interpret the estimate of B₁ in words. b) Interpret the estimate of B₂ in words. c) Forecast a person's number of doctor visits in 2019 if he/she was in excellent health, but did not have insurance. d) Forecast a person's number of doctor visits in 2019 if he/she was in poor health, and did have insurance. e) The R² for this regression is
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27-16. Prove that: (a) If R = 0, X, is uncorrelated with any of other variables i.e., r12=r13 = 0. 1-23 (b) If R1-23 = I, then linear regression of X, on X, and X3 is perfect.