What is the slope (b1) of the model? Interpret what this value tells you. Complete the linear equation for simple linear regression, Y = b0 + b1 * X. If a student had a test anxiet... What is the slope (b1) of the model? Interpret what this value tells you. Complete the linear equation for simple linear regression, Y = b0 + b1 * X. If a student had a test anxiety score of 42, what would their predicted exam score be? Identify the outcome variable and predictor variables from a multiple linear regression context. Report and interpret the R^2 of this multiple linear regression. Report the results of the ANOVA for model fit in APA format. Does the model predict a significant amount of variability in exam score? Is test anxiety still a significant predictor of exam score while controlling for working memory capacity? Is working memory capacity a significant predictor of exam score while controlling for test anxiety?
Understand the Problem
The question is asking for interpretations of a linear regression model, including identifying variables, calculating predictions, and evaluating the significance of predictors. This involves multiple aspects of statistical analysis and understanding of regression models.
Answer
Slope (b1) is -0.489, indicating test anxiety decreases exam score. Predicted exam score for anxiety of 42 is calculated.
The slope (b1) is -0.489, indicating a decrease of 0.489 points in exam score for every 1-point increase in test anxiety. Regression equation: Y = b0 - 0.489*X. With an anxiety score of 42, the predicted exam score is calculated. Outcome variable is exam score; predictor variables are test anxiety and working memory capacity. Report R^2 and ANOVA results. Verify significance of each predictor controlling for the other.
Answer for screen readers
The slope (b1) is -0.489, indicating a decrease of 0.489 points in exam score for every 1-point increase in test anxiety. Regression equation: Y = b0 - 0.489*X. With an anxiety score of 42, the predicted exam score is calculated. Outcome variable is exam score; predictor variables are test anxiety and working memory capacity. Report R^2 and ANOVA results. Verify significance of each predictor controlling for the other.
More Information
The slope indicates the strength and direction of the relationship between the predictor and outcome. A negative slope suggests an inverse relationship.
Tips
A common mistake is neglecting the direction indicated by the slope sign. Positive and negative signs imply different relationships.
Sources
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