Contents
- 1 Can you have a significant correlation coefficient but the analysis of regression based on that correlation be insignificant?
- 2 Is it possible for variables to be correlated but not linearly correlated?
- 3 How to identify the most important predictor variables in regression models?
- 4 What does a non linear regression model mean?
Can you have a significant correlation coefficient but the analysis of regression based on that correlation be insignificant?
All Answers (18) The simple answer is yes, it is possible – in that correlation simply indicated that when the independent variable changes, then the dependent variable also changes in the same direction (positive correlation), or the dependent variable changes in the opposite direction (negative correlation).
Correlation and the Financial Markets If the correlation coefficient of two variables is zero, there is no linear relationship between the variables. However, this is only for a linear relationship. It is possible that the variables have a strong curvilinear relationship.
How are two variables correlated but regression is not?
The Pearson product moment correlation coefficient between Y on X and the slope term of the regression of Y on X are intimately related, both are based on linearity, so I do not think it is that is the issue. When both variables are measured as z scores (that is, when both X and Y are measured as z scores), r = b, that is correlation equals slope.
Is it true that X and Y are not correlated?
X and Y are not correlated, but X is significant predictor of Y in multiple regression. What does it mean?
How to identify the most important predictor variables in regression models?
In Minitab, you can do this easily by clicking the Coding button in the main Regression dialog. Under Standardize continuous predictors, choose Subtract the mean, then divide by the standard deviation. After you fit the regression model using your standardized predictors, look at the coded coefficients, which are the standardized coefficients.
What does a non linear regression model mean?
As noted by Sanjiv, it simply means that the relationship between the variables is non-linear. A non-linear regression model could be what you need. You may get better suggestions if you can share a picture or what the data look like.