Page 3 of8 Section 4.2 Homework 4. Is there a relation between the age differenc

Question

Page 3 of8 Section 4.2 Homework 4. Is there a relation between the age difference between husband/wives and the percent of a country that is literate? between age difference (husband age minus wife age), y, and literacy rate (percent of the population that is iterate), x, is ·0.0512x + 72. The model applied for 25 s x s 100. Complete parts (a) through (e) below (a) Interpret the slope. Select the correct choice below and fil in the answer box to complete your choice. For every unit increase in (1) the (2) (Type an integer or decimal. Do not round.) (b) Does it make sense to interpret the y-intercept? Explain. Choose the correct answer below ^ units, on average. o A. Yes-t makes sense to interpret the y-intercept because an x-value of o is within the realm of N-t does not make sense to interpret the y-intercept because an x-value of 0 is outside the scope of the model. B. O C. No-it does not make sense to interpret the y-intercept because a y-value of 0 is impossible 0 D. No-it does not make sense to interpret the y-intercept because an x-value of o is impossible. O E. No-t does not make sense to interpret the y-intercept because a y-value of 0 is outside the scope of the model (c) Predict the age difference between husband/wife in a country where the literacy rate is 31 percent years (Round to one decimal place as needed.) (d) Would it make sense to use this model to predict the age difference between husband/wife in a country where the literacy rate is 18%? 0 A. Yes-t makes sense because a y-value of 18 is within the realm of possibilities and within the O B. N -it does not make sense because an x-value of 18 is outside the scope of the model. O C. No-t does not make sense because a y-value of 18 is outside the scope of the model. O D. Yes-itmakes sense because an x-value of 18 is within the realm of possibilities and within the scope of the model. scope of the model. (e) The literacy rate in a country is 99% and the age difference between husbands and wives is 2 years is this age difference above or below the average age difference among all countries whose literacy rate is 99%? Select the correct choice below and fill in the answer box to complete your choice. 0 A. Below he average age difference among all countries whose literacy rate is 99% is B. Above-the average age difference among all countries whose literacy rate is 99% is Round to one decimal place as needed.) years years (1) O literacy rate, O age difference (2) O age difference O literacy rate

Explanation / Answer

Solution-

The given model is-

Y = -0.0512 X + 7.2

Where Y = Difference between the ages of husband and wife and X = literacy rate

(a) Slope = -0.0512 means that as the literacy rate 1 percent, then Difference between the ages of husband and wife increases by 0.0512 units.

(b) Correct option is (b) as x =0 is not possible in the model as x has to vary from 25 to 100

(c) When x= 31 then x should be-

y = -0.0512*31 + 7.2

y = 5.6128 years

(d) Correct option is (b) as x =18 is not possible in the model as x has to vary from 25 to 100

Thanks!

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