The accompanying scatterplot shows the average teacher pay and the per pupil expenditure for 45 states out of the 50 states and the District of Columbia. The regression equation is also shown. Complete parts​ (a) through​ (d) below.

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Part 1

a. From the​ scatterplot, is the correlation between average teacher pay and per pupil expenditure​ positive, negative, or near​ zero?

The correlation is

positive,

because the scatterplot shows that as average teacher pay​ increases, the average per pupil expenditure

tends to increase,

and the regression line

has a positive slope.

Part 2

b. What is the slope of the regression​ equation? Interpret the slope in the context of the problem. Select the correct choice below and fill in the answer boxes to complete your choice.

​(Type integers or decimals. Do not​ round.)

A.

The slope is

0.3440.344.

For each additional​ $1 in average teacher pay in a​ state, the average per pupil expenditure increases by an average of

​$0.3440.344.

Your answer is not correct.

B.

The slope is

enter your response here.

For each additional​ $1 in average per pupil expenditure in a​ state, the average teacher pay increases by an average of

​$enter your response here.

Part 3

c. What is the intercept of the regression​ equation? Interpret the​ y-intercept or explain why it would be inappropriate to do so for this problem. Select the correct choice below and fill in the answer​ box(es) to complete your choice.

A.

The intercept is

enter your response here.

A state with an average teacher pay of​ $0 would have a predicted average per pupil expenditure of

​$enter your response here​,

on average.

​(Type integers or decimals. Do not​ round.)

B.

The intercept is

enter your response here.

A state with an average per pupil expenditure of​ $0 would have a predicted average teacher pay of

​$enter your response here​,

on average.

​(Type integers or decimals. Do not​ round.)

C.

The intercept is

enter your response here.

It is not appropriate to interpret the​ intercept, because it is not possible to have an average teacher pay of​ $0.

​(Type an integer or a decimal. Do not​ round.) 40000450005000055000600006500070000750008000085000400060008000100001200014000160001800020000220002400026000Average Teacher PayAverage Per Pupil Expenditure

Avg Per Pupil $ equals negative 6978 plus 0.344 Avg Teacher PayAvg Per Pupil $ = −6978+0.344 Avg Teacher Pay