Can the percentage of the workforce who are engineers

in each U.S. state be predicted by the amount of money spent

in on higher education (as a percent of gross domestic product),

on venture capital (dollars per $1000 of gross domestic

product) for high-tech business ideas, and state funding (in

dollars per student) for major research universities? Data for

all 50 states and a software package revealed the following results:

(a) Write the equation predicting the percent of engineers in

the workforce.

(b) For a state that has $1 per $1000 in venture capital, spends

$10,000 per student on funding for major research universities,

and spends 0.5% of its GDP on higher education, what

percent of engineers do you expect to see in the workforce?

(c) If the state in part (b) actually had 1.5% engineers in the

workforce, what would the residual be?