Question

Using the following regression statistics select which of the following represents the regression equation for the height vs. salary data? Regression Statistics: [Multiple R=0.867597; R Square=0.752725; Intercept=28.45268; Inches=0.97656]

a. y=.867+.7527(x)
b. y=.9765+28.452(x)
c. y=28.452-.9765(x)
d. y=28.452+.9765(x)

Answer 1

The correct option is d. y=28.452+.9765(x) [ANSWER]

Explanation:

In regression statistics, we are given that "Intercept = 28.45268" which means that the intercept of the regression equation is equal to 28.45268. Moreover, we are given that "Inches = 0.97656" which means that the slope parameter (parameter corresponding to the independent variable x (height)) is equal to 0.97656. Thus, the regression equation is given by:
y = (intercept) + (slope)*x

=> y = 28.45268 + 0.97656x

The above equation can be approximately written as:

y=28.452+.9765(x) [ANSWER]

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