study was conducted to determine the effects of linguistic delivery style and cl
ID: 3045756 • Letter: S
Question
study was conducted to determine the effects of linguistic delivery style and client credibility on auditors' judgments. The three variables of interest —credibility (x1), linguistic delivery style (x2) and likelihood (y)—were all measured on a numerical scale. Regression analysis was used to fit the model y=0+1x1+2x2+3x1x2+.
Beta estimate Std error t-statistic p-value
Constant 15.865 10.980 1.445 0.150
Client credibility (x1) 0.037 0.339 0.110 0.913
Linguistic delivery style (x2) 0.675 0.327 -2.064 0.040
Interaction (x1, x2) 0.036 0.009 4.008 <0.005
F=55.35 (p<0.0005); Adjusted R2=0.450
The researchers estimated the slope of the likelihoodlinguistic delivery style line at a low level of client credibility (x1=22). Obtain this estimate.
ModifyingAbove y with caret<=>y= __ + ____ x2. (Round to three decimal places as needed.)
The researchers also estimated the slope of the likelihoodlinguistic delivery style line at a high level of client credibility (x1=46). Obtain this estimate.
ModifyingAbove y with caret<=>y=____ + ____ x2 (Round to three decimal places as needed.)
Explanation / Answer
y^ =0+1x1+2x2+3x1x2
=15.865 + 0.037 * x1 -0.675 *x2 + 0.036 *x1*x2
when
x1 = 22
y^= 15.865 + 0.037 * 22 -0.675 *x2 + 0.036 *22*x2
= 16.679 +0.117 x2
when x1 = 46
y^ = 15.865 + 0.037 * 46 -0.675 *x2 + 0.036 *46*x2
= 17.567 + 0.981 x2
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