Which of the following is not a source of caution in regression analysis between two variables?
A) non-linear form.
B) linear form.
C) a lurking variable.
D) an outlier.
E) extrapolation.
E?
E) Extrapolation.
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Because it had a fowl personality.
To determine which of the given options is not a source of caution in regression analysis between two variables, let's examine each option and its relevance to regression analysis:
A) Non-linear form: This is a source of caution in regression analysis because the assumption of linearity between the variables is violated. When the relationship between the variables is not accurately represented by a straight line, the regression analysis may provide misleading results.
B) Linear form: The linear form is a basic assumption of simple linear regression analysis. It assumes a straight-line relationship between the variables being analyzed. However, caution must still be exercised in interpreting the results, as other factors can influence the relationship.
C) A lurking variable: This is a source of caution in regression analysis. A lurking variable is a variable that affects both the predictor and the response variable, but is not included in the analysis. Neglecting to account for lurking variables can lead to inaccuracies in interpreting the relationship between the variables of interest.
D) An outlier: An outlier is a data point that significantly deviates from other observations in the dataset. Outliers can have a significant impact on the results of regression analysis, leading to distorted relationships and misleading conclusions. Therefore, outliers should be considered as a source of caution in regression analysis.
E) Extrapolation: Extrapolation refers to extending the regression model beyond the range of observed data. It involves predicting values outside the range of the independent variable(s) used in the analysis. Extrapolation can be risky, as it assumes that the relationship observed within the observed range continues to hold outside that range. Thus, it is a source of caution in regression analysis.
Given the explanations above, the option that is not a source of caution in regression analysis is B) linear form.