A survey is conducted on 700 Californians older than 30 years of age. The study wants to obtain inference on the relationship between years of education and yearly income in dollars. The response variable is income in dollars and the explanatory variable is years of education. A simple linear regression model is fit, and the output from R is below: lm(formula = Income ~ Education, data = CA)   Coefficients:             Estimate Std. Error t value Pr(>|t|)     (Intercept) 25200.25    1488.94  16.93 3.08e-10 *** Education      2905.35     112.61   25.80 1.49e-12 *** Residual standard error: 32400 on 698 degrees of freedom Multiple R-squared: 0.7602       What is the estimated standard deviation of income given an education level? Input whole integer number.

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A survey is conducted on 700 Californians older than 30 years of age. The study wants to obtain inference on the relationship between years of education and yearly income in dollars. The response variable is income in dollars and the explanatory variable is years of education.

A simple linear regression model is fit, and the output from R is below:


lm(formula = Income ~ Education, data = CA)
 
Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 25200.25    1488.94  16.93 3.08e-10 ***
Education      2905.35     112.61   25.80 1.49e-12 ***

Residual standard error: 32400 on 698 degrees of freedom
Multiple R-squared: 0.7602

 

 

 

What is the estimated standard deviation of income given an education level? Input whole integer number.
 
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