The variables depression and anxiety are the self-reported depression and anxiet
ID: 3203486 • Letter: T
Question
The variables depression and anxiety are the self-reported depression and anxiety, respectively, measured on the same day using a scale that can give values ranging between 0 (corresponds to min possible level) to 10 (max). Fit a regression model with Y = depression and X = anxiety and conduct an F-test of H_0: beta_1 = 0 vs. H_A: beta_1 neq 0. Give the formula for the test statistic (in symbols), the numerical value of the test statistic, the p value and a conclusion. When giving the numerical value of the test statistic, please make sure to show how the F statistic was calculated based on values given in the ANOVA table. Depression =0.49 + 0.71Anxiety t = x' - mu_0/s/squareroot n T= 17.78 t^2 = F F= 316.21 = 680.5907/2.15 alpha = 0.05 P value is P(F(1, 198)>=316.21)Explanation / Answer
The multipler in the regression equation is generally the regression parameter that gets multiplied with the independent variable. In the given situation the variable anxiety is the independent vairable. from the regression equation so obtained we get to know that the multiplier is 0.71
Thus 0.71 is the multiplier of this problem.
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