Question

Alarge set of data was collected and analyzed for the majors of college seniors in the U.S. From the scatter plots produced, the following associations were observed. The linear model P(t) 2,376t + 73,219 can be used to estimate the number of college seniors who graduated with a bachelor's degree in psychology, tyears after 2000 The linear model B(t) = 2, 414t + 56, 545 can be used to estimate the number of college seniors who graduated with a bachelor's degree in biology, tyears after 2000 Which of the following statements are true? The number of psychology degrees increases by about 73,219 each year after 2000 The number of biology degrees increases by about 2,414 each year after 2000 About 73 000 students graduated with degrees in psychology in 2000 About 2.400 students graduated with degrees in biology in 2000 In 2000. more students graduated with psychology degrees than biology degrees

Answer 1

Let's check the validity of each statements

The number of psychology degrees increases by about 73,219 each year after 2000

The linear model for Psychology is P(t) = 2376t + 73219

for t=1

substitute t=1 into the model

p(1) = 2376(1) + 73219 =75595

for t=2

P(2) = 2376(2) + 73219= 77971

Hence. the first statement is NOT true

For the second statement

The number of biology degrees increases by about 2,414 each year after 2000

The linear model for the biology is given by:

B(t) = 2, 414t + 56, 545

Since 2414 is the rate of change (slope), the number of biology degrees increases by about 2414 each year after 2000

Hence, this statement is true

For the third statement

About 73 000 students graduated with degrees in psychology in 2000