The Following Data Are Available for a Simple Linear Regression

question 3

Multiple Choice

The following data are available for a simple linear regression analysis attempting to link hours of training (x) to hourly output (y) . In applying the least squares criterion, the slope (b) and the intercept (a) for the best-fitting line are b = 2.4 and a = 3.6.Compute the value of r, the correlation coefficient here.

• A).735
• B).776
• C).857
• D).926

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Definitions:

Type II Errors

False negatives in statistical hypothesis testing, where a real effect or difference is missed because it is incorrectly assumed there's no effect.

Type I Errors

Occurs when a statistical hypothesis test incorrectly rejects a true null hypothesis, leading to a false positive result.

Statistically Nonsignificant

A term used to describe a result that does not show a meaningful difference or relationship as determined by statistical analysis.

Confounds

Variables that are not controlled in a research study, potentially leading to incorrect conclusions by mixing their effects with those of the variables of interest.