Social scientists are interested in the association between the high school graduation rate (HSGR) and the percentage of U.S. families living in poverty (POV). Data were collected from all $50$ states and the District of Columbia, and a regression analysis was conducted. The resulting least-squares regression line is given by $P O V = 59.2 - 0.620$ (HSGR) with $r^{2} = 0.802$ . Based on the information, which of the following is the best interpretation for the slope of the least-squares regression line?
(a) For each $1 %$ increase in the graduation rate, the per cent of families living in poverty is predicted to decrease by approximately $0.896$ .
(b) For each $1 %$ increase in the graduation rate, the per cent of families living in poverty is predicted to decrease by approximately $0.802$ .
(c) For each $1 %$ increase in the graduation rate, the per cent of families living in poverty is predicted to decrease by approximately $0.620$ .
(d) For each $1 %$ increase in the percentage of families living in poverty, the graduation rate is predicted to increase by approximately $0.802$ .
(e) For each $1 %$ increase in the per cent of families living in poverty, the graduation rate is predicted to decrease by approximately $0.620$ .

Question

Social scientists are interested in the association between the high school graduation rate (HSGR) and the percentage of U.S. families living in poverty (POV). Data were collected from all $50$ states and the District of Columbia, and a regression analysis was conducted. The resulting least-squares regression line is given by $P O V = 59.2 - 0.620$ (HSGR) with $r^{2} = 0.802$ . Based on the information, which of the following is the best interpretation for the slope of the least-squares regression line?
(a) For each $1 %$ increase in the graduation rate, the per cent of families living in poverty is predicted to decrease by approximately $0.896$ .
(b) For each $1 %$ increase in the graduation rate, the per cent of families living in poverty is predicted to decrease by approximately $0.802$ .
(c) For each $1 %$ increase in the graduation rate, the per cent of families living in poverty is predicted to decrease by approximately $0.620$ .
(d) For each $1 %$ increase in the percentage of families living in poverty, the graduation rate is predicted to increase by approximately $0.802$ .
(e) For each $1 %$ increase in the per cent of families living in poverty, the graduation rate is predicted to decrease by approximately $0.620$ .

Accepted Answer

The best interpretation for the slope of the least-squares regression line is option (c) For each $1 %$ increase in the graduation rate, the per cent of families living in poverty is predicted to decrease by approximately $0.620 .$

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