APPLICATION OF SUPERVISED LEARNING
LINEAR REGRESSION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Correlation coefficient = 0.9
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The p-value for the null hypothesis Beta coefficient =0 is 0.0001
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The t-statistic for the null hypothesis Beta coefficient=0 is 30
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None of these
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Detailed explanation-1: -Which of the following indicates a fairly strong relationship between X and Y? Correlation between variables is 0.9. It signifies that the relationship between variables is fairly strong. On the other hand, p-value and t-statistics merely measure how strong is the evidence that there is non zero association.
Detailed explanation-2: -If we wish to label the strength of the association, for absolute values of r, 0-0.19 is regarded as very weak, 0.2-0.39 as weak, 0.40-0.59 as moderate, 0.6-0.79 as strong and 0.8-1 as very strong correlation, but these are rather arbitrary limits, and the context of the results should be considered.
Detailed explanation-3: -Correlation coefficients range from-1 to 1, with the strongest correlations being closer to-1 or 1. A correlation of 0 indicates no relationship between two variables.
Detailed explanation-4: -Correlation coefficients whose magnitude are between 0.9 and 1.0 indicate variables which can be considered very highly correlated. Correlation coefficients whose magnitude are between 0.7 and 0.9 indicate variables which can be considered highly correlated.