Researchers in a certain country investigated how having daughters influences voting on women's issues by members of the federal government. The researchers usevoting records of each member of the federal government to compute an index score, where higher scores indicate more favorable voting for women's rights. Theresearchers modeled the index score (y) as a function of the number of daughters (x) a voting member has. Data collected for the 457 members of the federalgovernment last year were used to fit the straight-line model, E(y) = Bo + B1x. Complete parts a through c below.a. If it is true that having daughters influences voting on women's issues, will the sign of B, be positive or negative? Explain.Positive, because if the claim is true, then index score would increase as the number of daughters increases.b. The following statistics were reported in the article: B,= 0.61 and Sa.= 0.28. Find a 95% confidence interval for B1.A 95% confidence interval is ( D(Round to three decimal places as needed.)

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Researchers in a certain country investigated how having daughters influences voting voting records of each member of the federal government to compute an index score, researchers modeled the index score (y) as a function of the number of daughters (x) a government last year were used to fit the straight-line model, E(y) = Bo + B1x. Complete a. If it is true that having daughters influences voting on women's issues, will the sign o Positive, because if the claim is true, then index score would increase as the num b. The following statistics were reported in the article: B, =0.61 and = 0.28. Find a S A 95% confidence interval is ( D (Round to three decimal places as needed.)