In a study of the charisma of top leaders in business, the researchers analyzed data collected for 24 U.S. presidential elections where the dependent variable of interest was Democratic vote share...


In a study of the charisma of top leaders in business, the researchers analyzed data collected for 24 U.S.<br>presidential elections where the dependent variable of interest was Democratic vote share (y), measured as<br>the percentage of voters who voted for the Democratic candidate in the national election. One potential<br>quantitative predictor of vote share was the difference (x1) between theDemocratic and Republican<br>candidates' charisma values. Note that charisma was measured on a 150-point scale based on the candidates'<br>acceptance speeches at their party's national convention. One potential qualitative predictor was whether or<br>not the election was affected by a world war:<br>1<br>X2 =<br>if war<br>otherwise<br>1. Propose a model that describes the relationship between Democratic vote share (y) and charisma difference<br>(x1) as two nonparallel straight lines, one for each level of world war status (x2).<br>2. In terms of the B's of the model, part (1), what is the slope of the line relating Democratic vote share (y) to<br>charisma difference (x1) for election years affected by a world war?<br>3. In terms of the B's of the model, part (1), what is the slope of the line relating Democratic vote share (y) to<br>charisma difference (x1) for election years not affected by a world war?<br>4. In terms of the B's of the model, part (1), what is the effect of a world war on mean Democratic vote share,<br>E(y), for all election years when there is no charisma difference (i.e., x1 = 0)?<br>%3D<br>

Extracted text: In a study of the charisma of top leaders in business, the researchers analyzed data collected for 24 U.S. presidential elections where the dependent variable of interest was Democratic vote share (y), measured as the percentage of voters who voted for the Democratic candidate in the national election. One potential quantitative predictor of vote share was the difference (x1) between theDemocratic and Republican candidates' charisma values. Note that charisma was measured on a 150-point scale based on the candidates' acceptance speeches at their party's national convention. One potential qualitative predictor was whether or not the election was affected by a world war: 1 X2 = if war otherwise 1. Propose a model that describes the relationship between Democratic vote share (y) and charisma difference (x1) as two nonparallel straight lines, one for each level of world war status (x2). 2. In terms of the B's of the model, part (1), what is the slope of the line relating Democratic vote share (y) to charisma difference (x1) for election years affected by a world war? 3. In terms of the B's of the model, part (1), what is the slope of the line relating Democratic vote share (y) to charisma difference (x1) for election years not affected by a world war? 4. In terms of the B's of the model, part (1), what is the effect of a world war on mean Democratic vote share, E(y), for all election years when there is no charisma difference (i.e., x1 = 0)? %3D

Jun 03, 2022
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