The general manager of an engineering firm wants to know whether a technical artist’s experience influences the quality of his or her work. A random sample of 24 artists is selected and their years of work experience and quality rating (as assessed by their supervisors) recorded. Work experience (EXPER) is measured in years and quality rating (RATING) takes a value of 1 through 7, with 7 = excellent and 1 = poor. The simple regression model RATING =β1+β2EXPER+???? is proposed. The least squares estimates of the model, and the standard errors of the estimates, are

RATING = 3 204 + 0.076
EXPER (sc) (0.709) (0.044)

Sketch the estimated regression function with labeled axis.
Interpret the coefficient of EXPER.

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Answer:

Answer: The estimated equation is shown in the scattered plot diagram attached to the answer supplied

Step-by-step explanation:

(a) Attached scattered plot diagram

(b)  Estimated regression equation:

Rating = 3.204 + 0.076 EXPER

b1= 3.204,

b2= 0.076

Se(b1)= 0.709

Se(b2) = 0.044

n=2

The coefficient of EXPER =0.076. This implies that the quality rating will increase by 0.076.

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The linear regression equation which models the relationship between rating and exper can be expressed thus ; Rating(y) = 0.076EXPR + 3.204

  • The Coefficient of EXPR is the value of the slope, hence, the slope is 0.076

  • Since the slope value is positive, then it can be interpreted that EXPR increases by 0.076 per unit increase in EXPR.

The estimated regression function is attached below.

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