Respuesta :
Answer:
The predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.
Step-by-step explanation:
The least square regression line is used to predict the value of the dependent variable from an independent variable.
The general form of a least square regression line is:
[tex]\hat y=\alpha +\beta x[/tex]
Here,
y = dependent variable
x = independent variable
α = intercept
β = slope
The regression line to predict the life expectancy of men in a country from the life expectancy of women in that country is:
[tex]\hat y=3.73 +0.88 x[/tex]
Compute the life expectancy of men in a country in which the life expectancy of women is 70 years as follows:
[tex]\hat y=3.73 +0.88 x[/tex]
[tex]=3.73 +(0.88\times 70)\\=3.73+61.6\\=65.33[/tex]
Thus, the predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.
