Simple Linear Regression?

2016-04-25 2:35 pm

https://answers.yahoo.com/question/index?qid=20160425063402AA591Qh

a) As requirement of the owner, specify the dependent and independent variables in the problem?
b) Use calculator to determine the least squares regression equation and complete the following table.
Mean value of the “Cubic Feet” =?
Mean value of the “Labor Hours” =?
Slope of the regression equation (b) =?
The value of Y Intercept (a) =?
The regression equation =?
Correlation Coefficient (r) =?
The estimated labor hours for moving 500 feet3 =?
c) Interpret the meaning of the slope of the regression equation.
d) Determine the coefficient of determination and interpret its meaning.
e) Determine the estimated labor hours for 1500 feet3.
f) Do you think your estimation in part e) valid? Why?

Thank you very much~

回答 (1)

cidyah

2016-04-25 3:24 pm

✔ 最佳答案

a)
dependent variable = labor hours required
independent variable = amount of cubic feet moved
b)
Mean value of the “Cubic Feet” = 593.2
Mean value of the “Labor Hours” = 25.825
Slope of the regression equation (b) = 0.039901
The value of Y Intercept (a) = 2.1558
The regression equation =
y= 0.0399x +2.1558
Correlation Coefficient (r) = 0.89915
The estimated labor hours for moving 500 feet3 =
y= 0.0399 (500) +2.1558 = 22.1058 labor hours

c)
As the amount of cubic feet moved increases bu 1 unit, the amount of labor increases by 0.0399 hours
d)
r^2 = (0.89915)^2 = 0.8085
80.85 % of the variation in labor hours is explained by the amount of cubic feet moved.
e)
y= 0.0399 (1500) +2.1558 = 62.0058 labor hours
f)
No. The value of 1500 is outside the range of the labor hours given. Extrapolation is not allowed in regression analysis.

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