Using data from 50 workers, a researcher estimates Wage Be + B₁Education + B2Experience + B3Age +, where Wage is the hourly wage rate and Education, Experience, and Age are the years of higher education, the years of experience, and the age of the worker, respectively. A portion of the regression results is shown in the following table. Coefficients Standard Error t Stat p-Value Intercept 7.45 3.79 1.97 0.0554 Education 1.06 0.37 2.86 0.0063 Experience 0.37 0.18 2.06 0.0455 Age -0.02 0.06 -0.33 0.7404 a-1. Interpret the point estimate for ẞ1. As Education increases by 1 year, Wage is predicted to increase by 1.06/hour. As Education increases by 1 year, Wage is predicted to increase by 0.37/hour. As Education increases by 1 year, Wage is predicted to increase by 1.06/hour, holding Age and Experience constant. As Education increases by 1 year, Wage is predicted to increase by 0.37/hour, holding Age and Experience constant. a-2. Interpret the point estimate for ẞ2. ○ As Experience increases by 1 year, Wage is predicted to increase by 1.06/hour. As Experience increases by 1 year, Wage is predicted to increase by 0.37/hour. O As Experience increases by 1 year, Wage is predicted to increase by 1.06/hour, holding Age and Education constant. As Experience increases by 1 year, Wage is predicted to increase by 0.37/hour, holding Age and Education constant. b. What is the sample regression equation? Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places. + Education + Experience + Age c. Predict the hourly wage rate for a 40-year-old worker with 3 years of higher education and 2 years of experience. Note: Do not round intermediate calculations. Round your answer to 2 decimal places.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
Question
Using data from 50 workers, a researcher estimates Wage Be + B₁Education + B2Experience + B3Age +, where Wage is the
hourly wage rate and Education, Experience, and Age are the years of higher education, the years of experience, and the age of the
worker, respectively. A portion of the regression results is shown in the following table.
Coefficients
Standard
Error
t Stat
p-Value
Intercept
7.45
3.79
1.97
0.0554
Education
1.06
0.37
2.86
0.0063
Experience
0.37
0.18
2.06
0.0455
Age
-0.02
0.06
-0.33
0.7404
a-1. Interpret the point estimate for ẞ1.
As Education increases by 1 year, Wage is predicted to increase by 1.06/hour.
As Education increases by 1 year, Wage is predicted to increase by 0.37/hour.
As Education increases by 1 year, Wage is predicted to increase by 1.06/hour, holding Age and Experience constant.
As Education increases by 1 year, Wage is predicted to increase by 0.37/hour, holding Age and Experience constant.
a-2. Interpret the point estimate for ẞ2.
○ As Experience increases by 1 year, Wage is predicted to increase by 1.06/hour.
As Experience increases by 1 year, Wage is predicted to increase by 0.37/hour.
O As Experience increases by 1 year, Wage is predicted to increase by 1.06/hour, holding Age and Education constant.
As Experience increases by 1 year, Wage is predicted to increase by 0.37/hour, holding Age and Education constant.
b. What is the sample regression equation?
Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.
+
Education +
Experience +
Age
c. Predict the hourly wage rate for a 40-year-old worker with 3 years of higher education and 2 years of experience.
Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
Transcribed Image Text:Using data from 50 workers, a researcher estimates Wage Be + B₁Education + B2Experience + B3Age +, where Wage is the hourly wage rate and Education, Experience, and Age are the years of higher education, the years of experience, and the age of the worker, respectively. A portion of the regression results is shown in the following table. Coefficients Standard Error t Stat p-Value Intercept 7.45 3.79 1.97 0.0554 Education 1.06 0.37 2.86 0.0063 Experience 0.37 0.18 2.06 0.0455 Age -0.02 0.06 -0.33 0.7404 a-1. Interpret the point estimate for ẞ1. As Education increases by 1 year, Wage is predicted to increase by 1.06/hour. As Education increases by 1 year, Wage is predicted to increase by 0.37/hour. As Education increases by 1 year, Wage is predicted to increase by 1.06/hour, holding Age and Experience constant. As Education increases by 1 year, Wage is predicted to increase by 0.37/hour, holding Age and Experience constant. a-2. Interpret the point estimate for ẞ2. ○ As Experience increases by 1 year, Wage is predicted to increase by 1.06/hour. As Experience increases by 1 year, Wage is predicted to increase by 0.37/hour. O As Experience increases by 1 year, Wage is predicted to increase by 1.06/hour, holding Age and Education constant. As Experience increases by 1 year, Wage is predicted to increase by 0.37/hour, holding Age and Education constant. b. What is the sample regression equation? Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places. + Education + Experience + Age c. Predict the hourly wage rate for a 40-year-old worker with 3 years of higher education and 2 years of experience. Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
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