Question

From 1975 to 1986, the General Social Survey asked its participants if they favored or opposed capital punishment. A least squares regression line was calculated to predict the percent that favored the death penalty based on the year. The least squares regression equation is yhat= -1859+0.9753x. Interpret the slope for this equation.answer choices: Each year, the percent that favors capital punishment increases by 0.9753% on average.Each year, the percent that favors capital punishment increases by 18.59%.As the percent of capital punishment increases by 1 percent, the year decreases by 1859.As the percent of capital punishment decreases by 1 percent, the year increases by 0.9753th of a year.

Answer 1

The given equation which determines the percent of people in favor of capital punishment is:

y = -1859 + 0.9753x

where x starts from 1975.

Consider that the slope of the line is 0.9753. It is also the rate of change of the percent of people in favor with the capital punsihment per year.

Then, you can conclude that the slope of the linear model means:

Each year, the percent that favors capital punishment increases by 0.9753% on average.