Question 6 Marks: 1 A researcher wants to predict attitude towardlife form motiv

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Question 6 Marks: 1 A researcher wants to predict attitude towardlife form motivation, happiness, and annual income. All of thevariables are measured on a scale of 0-100. A students who is hiredto work on the project reports the following:

I conducted three simple linear regression equations for predictingattitude toward life from motivation, happiness, and annual income.I found the respective R squares to be 0.02, 0.23, and 0.25. Iconclude that 50% of the variance in attitude toward life can beexplained from motivation happiness and annual income.

If you were looking for somebody to work on your project, would youhire him.
Choose one answer. a. Yes, I would. Heconducted the three relevant analysis and reported the Rsquares. b. No, I would notbecasue he did not report the three F values and P values to knowif all of the R squares are statistically significant. c. No, I would notbecasue his analysis does not make any sense and it isstatistically incorrect. d. Yes, I would hereported the relevant R squared, added and interpreted them withincontext. Question 6 Marks: 1 Marks: 1 A researcher wants to predict attitude towardlife form motivation, happiness, and annual income. All of thevariables are measured on a scale of 0-100. A students who is hiredto work on the project reports the following:

I conducted three simple linear regression equations for predictingattitude toward life from motivation, happiness, and annual income.I found the respective R squares to be 0.02, 0.23, and 0.25. Iconclude that 50% of the variance in attitude toward life can beexplained from motivation happiness and annual income.

If you were looking for somebody to work on your project, would youhire him.
Choose one answer. a. Yes, I would. Heconducted the three relevant analysis and reported the Rsquares. b. No, I would notbecasue he did not report the three F values and P values to knowif all of the R squares are statistically significant. c. No, I would notbecasue his analysis does not make any sense and it isstatistically incorrect. d. Yes, I would hereported the relevant R squared, added and interpreted them withincontext. A researcher wants to predict attitude towardlife form motivation, happiness, and annual income. All of thevariables are measured on a scale of 0-100. A students who is hiredto work on the project reports the following:

I conducted three simple linear regression equations for predictingattitude toward life from motivation, happiness, and annual income.I found the respective R squares to be 0.02, 0.23, and 0.25. Iconclude that 50% of the variance in attitude toward life can beexplained from motivation happiness and annual income.

If you were looking for somebody to work on your project, would youhire him.
Choose one answer. a. Yes, I would. Heconducted the three relevant analysis and reported the Rsquares. b. No, I would notbecasue he did not report the three F values and P values to knowif all of the R squares are statistically significant. c. No, I would notbecasue his analysis does not make any sense and it isstatistically incorrect. d. Yes, I would hereported the relevant R squared, added and interpreted them withincontext. Choose one answer. a. Yes, I would. Heconducted the three relevant analysis and reported the Rsquares. b. No, I would notbecasue he did not report the three F values and P values to knowif all of the R squares are statistically significant. c. No, I would notbecasue his analysis does not make any sense and it isstatistically incorrect. d. Yes, I would hereported the relevant R squared, added and interpreted them withincontext.

Explanation / Answer

C. You cannot add r^2 values. Consider the followingexample... Let y = x (perfectly). We run a linear regression on this and get r^2 = 1. Now, saywe have a 2nd variable x2. x2 = sqrt(x) and thus has SOMEcorrelation with x. As a result, the r^2 value for theregression between y and x2 will not be 0. Adding the two r^2together, we get the total r^2 > 1 (which can never betrue). In this example, I presented a case of where the two "independent"variables were actually correlated. Be careful of this whenperforming statistical tests. In your example for instance,increased annual income could lead to increased happiness orincreased motivation.

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