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os. Suppose that the board of directors of X-Innovation, Inc. believe that the a

ID: 3065598 • Letter: O

Question

os. Suppose that the board of directors of X-Innovation, Inc. believe that the annual salary is related to years of experience and to the score on the programmer aptitude test. An econometrician conducted a study for this corporation and reported the following results. Annual Salary ($1,000)-7.29+1.148. Years of experience+0.260 Aptitude Test Score p-value (0.009) (0.034) (0.0014) R-square 0.92 F-stat-96.88 p-value- 0.000 Provide the accurate interpretation of the estimated coefficients associated with years of experience and aptitude test score. a. Discuss the significance of the estimated coefficients associated with years of experience and aptitude test score b.

Explanation / Answer

a) Years coefficient = 1.148

The coefficient tells us that if years of experience increases by 1.148 years, annual salary increases by 1000 * 1.148

Aptitude = 0.260

The coefficient tells us that if aptitude score increases by 0.260, annual salary increases by 1000 * 0.260

b) years p value = 0.034

If we assume alpha = 0.05, p value < alpha and thus null is rejected and coefficient is significant.

aptitude p value = 0.0014

If we assume alpha = 0.05, p value < alpha and thus null is rejected and coefficient is significant.