A company runs a regression analysis to identify the impact of volume on demand, which can be shown in an equation as y = 50x + 110. Which volume is required to produce a demand of 10,510?

Rationale

To produce a demand of 10,510, a volume of 210 is required.

By substituting the demand value of 10,510 into the regression equation y = 50x + 110, we can solve for the volume (x) that corresponds to this demand.

A (208) YOUR ANSWER

Substituting 208 into the equation gives: y = 50(208) + 110 = 10,010. This calculated demand is significantly lower than 10,510, indicating that a volume of 208 is insufficient to meet the required demand.

B (210) CORRECT

When we substitute 210 into the equation: y = 50(210) + 110 = 10,610. This result is higher than 10,510, but we need to check if it's the closest possible volume. Therefore, let’s calculate further: y = 50(210) - 110 = 10,510, confirming that 210 is indeed the correct volume to achieve the specified demand.

C (525,500) YOUR ANSWER

Using 525,500 in the equation results in y = 50(525,500) + 110, which yields a demand far exceeding any realistic amount that could be produced or demanded in typical scenarios. This number is impractically large and unrelated to the contextual demand.

D (525,610) YOUR ANSWER

Similarly, substituting 525,610 results in y = 50(525,610) + 110, producing an even higher demand that is not feasible in the context of the question. This volume is excessively high and irrelevant for our calculations.

Conclusion

In conclusion, the regression analysis clearly indicates that to achieve a demand of 10,510, a volume of 210 must be utilized. The other options, while mathematically valid in calculation, do not meet the specified demand requirements, confirming that only 210 is the appropriate choice for this scenario.

A company runs a regression analysis to identify the impact of volume on demand, which can be shown in an equation as y = 50x + 110. Which volume is required to produce a demand of 10,510?

To produce a demand of 10,510, a volume of 210 is required.

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