Question

The regression equation for predicting voter turn out rates (Y) from socioeconomic status (X) across counties is Y = 52.7 + 1.46X. What would you predict a counties voter turnout to be if the socioeconomic status was 8.3? Give your answer to two decimal places.

Answer 1

To predict the voter turnout rate for a county with a socioeconomic status of 8.3, the given regression equation Y = 52.7 + 1.46X results in a turnout prediction of 64.82% after rounding to two decimal places.

Step-by-step explanation:

The regression equation given is Y = 52.7 + 1.46X. To predict the voter turnout in a county with a socioeconomic status of 8.3, we can plug this value into the equation where X = 8.3:Y = 52.7 + 1.46(8.3) = 52.7 + 12.118 = 64.818Rounding to two decimal places, the predicted voter turnout would be 64.82%.Understanding the impact of factors like education, income, and social status on voter turnout is crucial. Evidently, citizens with higher socioeconomic status are more likely to vote, as supported by various studies that link education and income to voting probability. The regression equation itself represents a statistical analysis of this relationship.

The regression equation for predicting voter turn out rates (Y) from socioeconomic status (X) is Y = 52.7 + 1.46X.To predict the voter turnout for a county with a socioeconomic status of 8.3, we can substitute X = 8.3 in the equation:Y = 52.7 + 1.46(8.3)Calculating the expression gives us:Y ≈ 65.18Therefore, the predicted voter turnout for a county with a socioeconomic status of 8.3 would be approximately 65.18.