Question

Explain why the following statement is not correct: All explanatory variables that are significantly correlated with...

Explain why the following statement is not correct:

All explanatory variables that are significantly correlated with the response variable will have a statistically significant correlation coefficient in multiple regression

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

If all the explanatory variables are significantly correlated with the response variable or the dependent variable, there might be a case incase of multiple regression that if all the explanatory variables are taken in the multiple regression model, the effect of the explanatory variables might be less because of the multicollinearity present between the variables. Suppose if X1 was significantly correlated with the response variable and now X2 is also taken in the regression, one needs to see what new variation in Y is explained by X2. The estimated effect of X1 on Y might decrease because of the correlation between X1 and X2.

Hence, the given statement is not correct.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The coefficient of determination will increase when another explanatory variable is added to the regression model...
The coefficient of determination will increase when another explanatory variable is added to the regression model even if the new explanatory variable does not have a statistically significant relationship with the dependent variable. True False
Of the two variables, HighJump and LongJump ,which do you think should be the explanatory variable...
Of the two variables, HighJump and LongJump ,which do you think should be the explanatory variable and which should be the response variable? Or, does the choice not matter, as neither is “prior” to the other? On your scratch paper, identify which variable you have chosen as the explanatory variable and by hand use the means, sd, and the r given to find the equation of the Least Squares Regression line. Then reverse your choices for explanatory variable and response...
A linear regression of a variable Y against the explanatory variables X1 and X2 produced the...
A linear regression of a variable Y against the explanatory variables X1 and X2 produced the following estimation model: Y = 1615.495 + 9.957 X1 + 0.081 X2 + e (527.96) (6.32) (0.024) The number in parentheses are the standard errors of each coefficients i. State the null and alternative hypothesis for the coefficients Select the appropriate test, compute the test statistic based on the information above, and test the null hypothesis for each coefficient by using a level of...
In any regression model, p denotes the number of explanatory variables in the model. In simple...
In any regression model, p denotes the number of explanatory variables in the model. In simple linear regression (SLR), p=1. True/False? When testing whether the slope of a explanatory variable is 0 or not in context of multiple regression, what distribution is used to determine the p-value? standard normal distribution / t distribution with n−1 degrees of freedom / t distribution with n−2 degrees of freedom / t distribution with n−p−1 degrees of freedom ? In multiple regression, there is...
estimate std.error Intercept 26184.4 3517.3 snowfall 3824.8 247.5 r^2=.8565 adjusted r^2= .8529 s=8991 For each additional...
estimate std.error Intercept 26184.4 3517.3 snowfall 3824.8 247.5 r^2=.8565 adjusted r^2= .8529 s=8991 For each additional inch of snowfall, steam runoff decreases by 26,184 acre-feet, on average. increases by 26,184 acre-feet, on average. .decreases by 3824 acre-feet, on average.   increases by 3824 acre-feet, on average If multicollinearity is present, then we can conclude that the fitted regression model: may have estimated slopes very different from what we should expect due to numerical instabilities, making correct interpretation of the effect on...
Please explain in details a) When two variables are correlated, can the researcher be sure that...
Please explain in details a) When two variables are correlated, can the researcher be sure that one variable causes the other? If YES , why? If NO , why? b) What is meant by the statement that two variables are related? Discuss.
Consider a regression of y on two explanatory variables, x1 and x2, which are potentially correlated...
Consider a regression of y on two explanatory variables, x1 and x2, which are potentially correlated (though not perfectly). Say that x1 can take on any value between 1 and 100. A researcher draws a random sample of observations, with information on y, x1 and x2. She runs a regression on this sample, which we refer to as regression A. She then takes the subset of the data where x1 is restricted to only take values between 1 and 50,...
Which of the following factors are correlated with the explanatory variable for smoking cigarettes, as well...
Which of the following factors are correlated with the explanatory variable for smoking cigarettes, as well as influence the explained variable for life expectancy? Check all that apply. Other drug use Diet Alcohol use Exercise habits
1.Consider a regression of y on two explanatory variables, x1 and x2, which are potentially correlated...
1.Consider a regression of y on two explanatory variables, x1 and x2, which are potentially correlated (though not perfectly). Say that x1 can take on any value between 1 and 100. A researcher draws a random sample of observations, with information on y, x1 and x2. She runs a regression on this sample, which we refer to as regression A. She then takes the subset of the data where x1 is restricted to only take values between 1 and 50,...
Suppose we have the correlation coefficient for the relationship between two variables, A and B. Determine...
Suppose we have the correlation coefficient for the relationship between two variables, A and B. Determine whether each of the following statement is true or false. (a) The variables A and B are categorical. (b) The correlation coefficient tells us whether A or B is the explanatory variable. (c) If the correlation coefficient is positive, then lower values of variable A tend to correspond to lower values of variable B. (d) If the correlation between A and B is r...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT