44 of 10 (3 complete) This Question: 1 pt ls there a relation between the age di

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44 of 10 (3 complete) This Question: 1 pt ls there a relation between the age difference between husbandiwives and the percent of a country that is Iiterate? Researchers found the leasl-squares regression between age diference (husband age minus wife agel. y. and teracy rate (percent of the population that is lterate). x isy- -00417x + 7.8. The model applied for 22 sxs 100 Complete parts (a) through (e) below (a) Interpret the slope Select the correct choice below and il in the answer box to complete your choice. Far every uni increase in lteracy rate the age diference talisby percent, on average (Type an integer or decimal Do not round (b) Does it make sense to interpret the y-intercept? Explain. Choose the correct answer below O A. Yes-it makes sense to interpret the y-intercept because an x-value of O is within the realm of possibilities O B. No-it does not make sense to interpret the y-intercept because an x value of 0 is impossible. ° C. No--it does not make sense to interpret the y-intercept because an x-value of 0 is outside the scope of the model O D. No-it does not make sense to interpret the y-intercept because a y value of 0 is outside the scope of the model O E. No-it does not make sense to interpret the y-intercept because a y-value of O is impossible (c) Predict the age difference between husband/wife in a country where the literacy rate is 35 percent (Round to one decimal place as needed) (d Wouldit make sense to use this model to predict the age dinerence between husband wife in a country where the literacy rate is 14% A. - it does not make sense because an x value of 14 is outside the scope of the model B. Yes-it makes sense because a y-value of 14 is within the realm of possibilities and within the scope of the model O C. No- it does not make sense because a y-value of 14 is outside the scope of the model. O D. Yes-it makes sense because an x-value of 14 is within the realm of possibilities and within the scope of the model Cick to select your answer(s)

Explanation / Answer

Here linear regression equation is

y^ = -0.0417 x + 7.8

(A) For every unit increase in literacy rate, the age difference falls by 4.17% , on average.

(B) No, that doesn't make any sense to interpret y - inrercept as x = 0 is not under ream of domain of x.

Option C is correct.

(C) When x = literacy percent = 35%

y^ = -0.0417 * 35 + 7.8 = 6.34 years

(D) No, it doesn't make sense to predict the age difference between husband/wife in a country where the literacy rate is 14% . Because x = 14% is out of the scope of the model.

(E) Here Y(predicted) for x = 2%

y^ = -0.0417 * 99 + 7.8 = 3.672 years

As the real age difference for this couple is 2 years so this age difference in less than or below the average age difference among all countries whose literacy rate is 99% is 3.672 years

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