Question

A researcher conducts a standard multiple regression (SMR) analysis to predict depression as a function of the following predictors: parental depression (sr² = .30), number of annoying quizzes (sr² = .20), and peer support (sr-squared = .15).  If the total variance accounted for in the dependent measure is 70% (i.e., R² = .70), what is the ratio of uniquely explained versus jointly explained variance?

		5% is explained uniquely and 65% is explained jointly
		45% is explained uniquely and 25% is explained jointly.
		65% is explained uniquely and 5% is explained jointly.
		50% is explained uniquely and 70% is explained jointly.

Answer 1

Answer:

Given that,

A researcher conducts a standard multiple regression (SMR) analysis to predict depression as a function of the following predictors:

1. Parental depression (sr2 = 0.30),
2. Number of annoying quizzes (sr2 = 0.20), and
3. Peer support (sr-squared =0.15).

If the total variance accounted for in the dependent measure is 70% (i.e., R2 = 0.70),

What is the ratio of uniquely explained versus jointly explained variance:

Answer: Option (d)

50% is explained uniquely and 70% is explained jointly.

50% is explained by parental depression and the number of annoying quizzes.

70% is the joint explanation of all independent variables.