Statistics SA is concerned about the number of professors in statistics. They modelled available datawith the following regression function.Ŷ = bo + b₁X₁ + b₂X₂ + b3X3whereX₁ :X₂:X3:Ŷ:TIMES - Number of times as international congress speakerART - Number of articles publishedYEARS - Years after PhD to attain professorshipMONEY - Money s received for research (R1000.00)An extract from the data set n = 40Y₁145120125105X₁7747X₂5706085X31081210The regression model from SAS: Y = 1 + 2X₁ + 5X₂ - 0.1X31.1. Interpret the estimated regression function by interpreting the regression coefficients.1.2. The analyst of Stats SA is not sure that if years to professorship contributes to the variation of themean money value. How can he determine whether or not this is so? Show this if a variance-covariance matrix was obtained and found that s{b3} = 0.2. Use a = 0.05.1.3. If it was found that B3 = 0, can one just then use the following regression?Ỹ = 1 + 2X₁ + 5X₂ -0.1X3

1.1) The regression model is provided as follows: Y^=1+2X1+5X2-0.1X3 Thus, b0=1b1=2b2=5b3=-0.1

Answered: Statistics SA is concerned about the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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