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WGU Applied Algebra Exam - Topic 1 Question 9 Discussion

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?
A) No. The value indicates a strong fit, but is more than of the range beyond the maximum value.
B) No. The value indicates a moderate fit, but is more than of the range beyond the maximum value.
C) Yes. The value indicates a strong fit, and is within of the range of the maximum value.
D) Yes. The value indicates a moderate fit, and is within of the range of the maximum value.

WGU Applied Algebra Exam - Topic 1 Question 9 Discussion

Actual exam question for WGU's Applied Algebra exam
Question #: 9
Topic #: 1
[All Applied Algebra Questions]

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?

Show Suggested Answer Hide Answer
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:


by Charlie at Jul 15, 2026, 12:32 PM

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Lizette
1 day ago
The regression function looks solid, but is it really reliable?
upvoted 0 times
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Azzie
6 days ago
Totally agree, option C seems right!
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Gracia
11 days ago
Wait, how can we be sure it's accurate?
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Royce
17 days ago
I think the prediction is way too high.
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Vi
22 days ago
The scatterplot shows a clear trend!
upvoted 0 times
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Barb
27 days 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.
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Mattie
1 month 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.
upvoted 0 times
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Millie
1 month 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.
upvoted 0 times
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Louvenia
1 month 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.
upvoted 0 times
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