Researchers in a certain country investigated how having daughters influences voting on women's issues by members of the federal government. The researchers use voting records of each member of the federal government to compute an index score, where higher scores indicate more favorable voting for women's rights. The researchers modeled the index score (y) as a function of the number of daughters (x) a voting member has. Data collected for the 422 members of the federal government last year were used to fit the straight-line model, E(y) = β0 + β1x.

(a) If it is true that having daughters influences voting on women's issues, will the sign of β1 be positive or negative? Explain.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

21

jk it's 20

step-by-step explanation:

a

step-by-step explanation:

strong negative correlation

pls refer ro the top for answer