Discuss WGU Applied Algebra (C957) Exam Topic 1 Question 9

The scatterplot shows data on the number of visitors to a resort each week since opening. A regression function is graphed with . The predicted number of visitors after weeks is .

Is this prediction appropriate?

ANo. The value indicates a strong fit, but is more than of the range beyond the maximum value.

BNo. The value indicates a moderate fit, but is more than of the range beyond the maximum value.

CYes. The value indicates a strong fit, and is within of the range of the maximum value.

DYes. The value indicates a moderate fit, and is within of the range of the maximum value.

Suggested Answer: A

The regression model has:

This means the model is a very strong fit for the data because is close to .

However, a strong value does not automatically make every prediction appropriate. We also have to check whether the -value is within a reasonable extrapolation range.

The data shown on the graph appear to extend to about:

The prediction is for:

This is far beyond the observed data range. Even though the model fits the known data very well, predicting too far beyond the data can be unreliable.

The correct statement is that the value indicates a strong fit, but is more than of the range beyond the maximum observed value.

Therefore, the correct answer is:

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12 comments · newest first

Janna 1 month ago

I feel like option C could work. Strong fit and within range.

Amira 1 month ago

I agree, option A makes sense. Strong fit, but not appropriate.

Nan 1 month ago

I think the prediction is off. Too far beyond the max.

Lizette 2 months ago

The regression function looks solid, but is it really reliable?

Azzie 2 months ago

Totally agree, option C seems right!

Gracia 2 months ago

Wait, how can we be sure it's accurate?

Royce 2 months ago

I think the prediction is way too high.

Vi 2 months ago

The scatterplot shows a clear trend!

Barb 2 months ago

I recall that if the predicted value exceeds the maximum observed value, it’s usually not appropriate. So, I’m thinking option A makes the most sense here.

Mattie 3 months ago

I’m a bit confused about the terms "strong fit" and "moderate fit." I think I might lean towards option B, but I need to double-check the definitions.

Millie 3 months ago

I feel like we practiced a similar question where we had to determine if the predicted value was within the range. I think it could be option C if the fit is strong.

Louvenia 3 months ago

I remember we discussed how to evaluate the appropriateness of predictions based on the regression fit. I think it might be option A, but I'm not entirely sure.

WGU Applied Algebra (C957) Exam - Topic 1 Question 9 Discussion