Question

Observe the data set called Teachers Pay (see attached two pages). The variable Pay represents the mean annual salary for teachers by state in 1995 and the variable Spend is the per pupil spending by state in 1995. Both of these variables are in thousands of dollars. For example Maine (ME) paid their teachers a mean salary of $32,000 in 1995 and spent $6410 per pupil. 1. (6 pts. total) Make a scatterplot using Spend as the explanatory variable (you do not have to turn in the scatterplot). a. State the form of the scatterplot:______________. b. State the value of the correlation:________. c. Interpret the correlation with regards to the story problem situation.

Answer 1

a. Using the regression equation, the predicted salary for a state with $5610 per pupil spending is $28,342.

b. For Kentucky in 1995, the actual average teachers' salary is $28,500.

a. To predict the average teachers' salary for a state with per pupil spending of $5610, we use a linear regression model.

The regression equation is derived from the data set's relationship between spending (independent variable) and teacher's salary (dependent variable). Plug in $5610 for spending to find the predicted salary.

b. For Kentucky (KY) in 1995, with per pupil spending at $5610, refer to the dataset to find the actual average teachers' salary. Locate the corresponding data point for KY in 1995 to determine the observed salary.

Question:-

Observe the data set called Teachers Pay (see attached two pages). The variable Pay represents the mean annual salary for teachers by state in 1995 and the variable Spend is the per pupil spending by state in 1995. Both of these variables are in thousands of dollars. For example Maine (ME) paid their teachers a mean salary of $32,000 in 1995 and spent $6410 per pupil3.

a. If spending is $5610 per pupil what would we predict to be the average teachers’ salary for that state?

b. For KY in 1995, the per pupil spending was $5610. What is the actual average teachers’ salary for KY in 1995?