PRMIA Exam 8007 Topic 1 Question 86 Discussion

Actual exam question for PRMIA's 8007 exam

Question #: 86
Topic #: 1

A simple linear regression is based on 100 data points. The total sum of squares is 1.5 and the correlation between the dependent and explanatory variables is 0.5. What is the explained sum of squares?

A0.75

B1.125

C0.3333

D0.375

Show Suggested Answer

Suggested Answer: D

by Fidelia at Sep 17, 2024, 01:10 PM

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Leslie

2 months ago

The correlation coefficient is 0.5, so the explained sum of squares has to be 0.75. Easy peasy lemon squeezy!

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Mel

2 months ago

This is a pretty straightforward regression question. I'm confident that the answer is D) 0.375.

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Mariann

2 months ago

C) 0.3333 seems like the correct answer to me. The explained sum of squares is the total sum of squares multiplied by the square of the correlation coefficient, which is 0.5^2 = 0.25.

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Jani

3 months ago

I'm going with B) 1.125. The explained sum of squares is the total sum of squares multiplied by the square of the correlation coefficient.

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Thaddeus

1 months ago

I agree with D) 0.375.

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Chan

1 months ago

I believe it's C) 0.3333.

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Joesph

2 months ago

I'm going with B) 1.125.

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Colton

2 months ago

Actually, I calculated it to be C) 0.3333. I think that's the right answer.

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Huey

2 months ago

I agree with you, I also calculated it to be A) 0.75.

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Joesph

2 months ago

I think it's A) 0.75.

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Adrianna

2 months ago

I think the correct answer is A) 0.75.

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Tequila

3 months ago

I'm not sure, but I think I would go with option A) 0.75 as well.

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Chaya

3 months ago

I agree with Jody, the correlation is 0.5 so it makes sense.

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Jody

4 months ago

I think the explained sum of squares is 0.75.

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Bernardine

4 months ago

Hmm, I think the explained sum of squares should be 0.75. The correlation coefficient squared gives the proportion of the total variance that is explained by the regression.

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Izetta

3 months ago

Yes, the correlation coefficient squared is 0.5 squared, which equals 0.25. So, 0.25 * 1.5 = 0.75.

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Colette

4 months ago

I agree, the explained sum of squares should be 0.75.

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