The Wyoming State Department of Education needs to forecast the number of elementary school students for next year. This variable is thought to be related to the number of Wyoming residents between 18 and 35 years of age. For the last 50 years, data are available for both variables. A regression of elementary school enrollment (Y) on the number of residents between 18 and 35 years of age (X) yields the following results:

r2 = .69 Sy|x = 3264 sb = .05 sx = 10,000
Based on these results, answer the following questions:
(a) This year the population of Wyoming residents between 18 and 35 is estimated to be 62,850. What is the estimated elementary school enrollment? Place a 95 percent confidence interval around your estimate.
(b) Wyoming is experiencing a €œboom€ in manufacturing and industrial growth. A tremendous influx of immigration into the state is anticipated over the next few years as a result. If the estimated influx of individuals of ages 18€“35 is 107,142 over the next five years, how much will elementary school enrollment increase in this period due to this factor alone?
(c) It is estimated that when elementary school enrollment reaches 40,000, the state will have to double its expenditures for education. Based on the information presented above, does this event appear likely in the near future?