Question

need help with wach problem

For Questions through On the 2014 GSS Social Survey participants were asked their height (in inches) and their weight (in pounds). Summary data for all respondents combined and then separated by sex, are below. The graphs (not shown) indicate that a regression line is appropriate for all three groups. x = height and y weight for all equations • All respondents (males and females combined): D = - 157.516+5.028x, r = 0.478, where 57 5x579. • Male respondents only: -- 197.914 +5.604x, r = 0.438, where 58 5x579. • Female respondents only: D - 85.672 +3.905x, r = 0.279, where 57 5x574. 4) Which group had the weakest correlation between height and weight? A The "Female respondents only group. B. The "All respondents" group, c. The "Male respondents only" group. QUESTION 43 5) Which is the response variable for qach of the three regression equations? A Height B. Weight QUESTION 44 6) Which is the outcome variable for each of the three regression equations? A Height Chick Save and the Se Allt all cm .

Answer 1

4)

The r represents the correlation between height and weight for all three groups.

The value of correlation for different groups,

All respondents (male and female combined): r = 0.478

Male respondents only: r = 0.438

Female respondents only: r = 0.279

The value of correlation for female respondents only: r = 0.279 which is least amongst all groups. Hence,

The 'Female respondents only' group had the weakest correlation between height and weight.

For all the three groups we are predicting the weight depending on the height of a person.

y = Dependent variable = Weight

x = Independent variable = Height

The outcome variable is also called the response or dependent variable.

5)

Weight is the response variable for each of the three regression equations.

6)

Weight is the outcome variable for each of the three regression equations.