Question Help on several nations, the prediction equation relating y -fertility

Question

Question Help on several nations, the prediction equation relating y -fertility rate (mean number of children per adult woman) to x - female economic activity (the female labor force as a percentage of the male labor force) is y 4.9-0.043x. Answer parts a-c. a. Find the predicted fertility for Country A, which had a value of x- 27, (Type an integer or a decimal. Do not round.) b. Find the predicted fertility for Country B, which had a value of x -(Type an integer or a decimal. Do not round.) c. Interpret the y-intercept. O 92. The y-intercept is the predicted female economic activity for a country whose fertility rate is O. 0 The y-intercept is the predicted fertility rate for a country whose female economic activity is o. Describe how predicted fertility changes as x increases from 0 to 100. O A. As x increases from 0 to 100, the predicted fertility rate decreases from 4.9 to 0.6. O B. As x increases from 0 to 100, the predicted fertility rate decreases from 4.9 to 0.043. O C. As x increases from 0 to 100, the predicted fertility rate increases from 0.6 to 4.9. O D. As x increases from 0 to 100, the predicted fertility rate increases from 0.043 to 4.9.

Explanation / Answer

SolutionA

regression eq is

y hat=4.9-0.043*x

for x=27 we have

y hat=4.9-0.043*27

yhat=3.739

y hat=3.739

Solutionb:

for x=92

y hat=4.9-0.043*92

y hat=0.944

ANSWER:0.944

Solutionc:

From regression y intercept is

4.9 whcih we get when x=0

the y intercept is predicted fertility rate for a country whose female economic activity is 0.

OPTION B

Solutiond:

In regression eq

Y aht=4.9-0.043x

for x=0

yhat=49

Put x=100 now in reg eq

y hat=4.9-0.043*100

y hat=0.6

decreased from 4.9 to 0.6 when x increases from 0 to 100.

OPTION A

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