Costs for building a new elementary school in the United States average about per square foot. In a review of school construction projects in Arizona, the head of the Department of Education examined...

Costs for building a new elementary school in the United States average about

per square foot. In a review of school construction projects in Arizona, the head of the Department of Education examined a scatterplot of the cost of recently completed schools

versus the size of the school (in square feet,
).

(a) Would you expect a linear equation to describe these data?

(b) What would you expect for the intercept of the linear model?

(c) What would you expect for the slope?

(d) Do you expect patterns in the variation around the equation?