Find amount of data points for multiple regression model

Data collected from the state of Florida includes:

y = crime rate = Annual number of crimes in county per 1000 population

x1 = education = Percentage of adults in county with at least a high school education

x2 = urbanization = Percentage in county living in an urban environment

Multivariate regression output from R is given below (note that the numbers are not the same as in the text book):

>summary(fitmc)

Call:

lm(formula = y ~ x1 + x2)

Residuals:

Min 1Q Median 3Q Max

-34.693 -15.742 -6.226 15.812 50.678

Coefficients:

Estimate Std.Error t value Pr(>|t|)

(Intercept) 44.8484 18.7003 xxxxx xxxxx

x1 -0.9054 0.3052 xxxxx xxxxx

x2 0.5434 0.0876 xxxxx xxxxxx

---

Residual standard error: 16.75 on 64 degrees of freedom

Multiple R-squared: 0.5301 Adjusted R-squared: 0.4549

F-statistic: 29.21 on 2 and 64 DF, p-value: 1.19e-09

NB: THE NUMBERS IN THIS QUESTION ARE NOT NECESSARILY THE SAME AS IN THE PREVIOUS QUESTION!!!!!!!!!!!!!

How many data points were used in fitting this multiple regression model?

Please show work and answer. I feel like this is basic i just cant wrap my head around it.

Thanks.

jpd750 said:

Data collected from the state of Florida includes:

y = crime rate = Annual number of crimes in county per 1000 population

x1 = education = Percentage of adults in county with at least a high school education

x2 = urbanization = Percentage in county living in an urban environment

Multivariate regression output from R is given below (note that the numbers are not the same as in the text book):

>summary(fitmc)

Call:

lm(formula = y ~ x1 + x2)

Residuals:

Min 1Q Median 3Q Max

-34.693 -15.742 -6.226 15.812 50.678

Coefficients:

Estimate Std.Error t value Pr(>|t|)

(Intercept) 44.8484 18.7003 xxxxx xxxxx

x1 -0.9054 0.3052 xxxxx xxxxx

x2 0.5434 0.0876 xxxxx xxxxxx

---

Residual standard error: 16.75 on 64 degrees of freedom

Multiple R-squared: 0.5301 Adjusted R-squared: 0.4549

F-statistic: 29.21 on 2 and 64 DF, p-value: 1.19e-09

NB: THE NUMBERS IN THIS QUESTION ARE NOT NECESSARILY THE SAME AS IN THE PREVIOUS QUESTION!!!!!!!!!!!!!

How many data points were used in fitting this multiple regression model?

Please show work and answer. I feel like this is basic i just cant wrap my head around it.

Thanks.

Click to expand...

NB: THE NUMBERS IN THIS QUESTION ARE NOT NECESSARILY THE SAME AS IN THE PREVIOUS QUESTION!!!!!!!!!!!!!

That means a problem like this done for you before in the class - did you review that problem?