Which of the following statements is most likely true in a simple linear regress
ID: 3438121 • Letter: W
Question
Which of the following statements is most likely true in a simple linear regression?
If the coefficient of determination is less than 0.50, no regression relationship exists between X and Y
If the null hypothesis in a regression analysis is rejected, X and Y have a linear relationship
If the t statistic is significant, X and Y should also have a high correlation
A and C are both correct
B and C are both correct
If the coefficient of determination is less than 0.50, no regression relationship exists between X and Y
If the null hypothesis in a regression analysis is rejected, X and Y have a linear relationship
If the t statistic is significant, X and Y should also have a high correlation
A and C are both correct
B and C are both correct
Explanation / Answer
Which of the following statements is most likely true in a simple linear regression?
A
If the coefficient of determination is less than 0.50, no regression relationship exists between X and Y
B
If the null hypothesis in a regression analysis is rejected, X and Y have a linear relationship
C
If the t statistic is significant, X and Y should also have a high correlation
A and C are both correct
B and C are both correct
Answer: B and C are both correct
In a linear regression analysis, if the null hypothesis is rejected, we can conclude that X and Y have a linear relationship. If the regression is significant then correlation between the variables also significant.
A
If the coefficient of determination is less than 0.50, no regression relationship exists between X and Y
B
If the null hypothesis in a regression analysis is rejected, X and Y have a linear relationship
C
If the t statistic is significant, X and Y should also have a high correlation
A and C are both correct
B and C are both correct
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