How many subsets of five elements each can be made from a set of seven elements?

1 answer:

8 0

When creating a subset of 5 elements from 7 elements, order should not matter. Therefore, we use the combination formula over the permutation formula. The combination formula given n elements total and r elements used is n! / [r!*(n-r)!]. Substituting 7 for n and 5 for r, we get: 7! / (5!*2!) = 7*6 / 2 = 21 21 subsets can be created

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larisa [96]

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Consider the population regression of log earnings [Yᵢ, where Yᵢ= ln(Earningsᵢ)] against two binary variables:

puteri [66]

Answer:

A) allows the population effect on log earnings of being married to depend on gender

Step-by-step explanation:

The regression equation of a dependent variable based on two or more independent variables is of the form:

$Y=b_{0}+b_{1}X_{1} +b_{2}X_{2}+b_{3}X_{1}X_{2}$

Here,

Y = dependent variable

$X_{1}$ and $X_{2}$ = independent variables

$X_{1}X_{2}$ = interaction term

$b_{1},\ b_{2}\ and \ b_{3}$ = regression coefficients.

If there is a significant interaction effect present then this implies that the effect of one independent variable ( $X_{1}$ or $X_{2}$ ) on the dependent variable (Y) differs every time with different value of the other independent variable ( $X_{1}$ or $X_{2}$ ) .

The provided regression equation is:

$Y_{i}=\beta _{0}+\beta _{1}D_{1i}+\beta_{2}D_{2i}+\beta _{3}D_{1i}D_{2i}+u_{i}$