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The regression analysis produced the following residual plot. According to the r

ID: 3222554 • Letter: T

Question

The regression analysis produced the following residual plot. According to the residual plot, does a linear regression appear to be appropriate for modeling the relationship between the transformed variables? (A) Yes, because the residual plot shows a random pattern. (B) Yes, because the vertical spread of points in the residual plot is roughly centered about the horizontal axis that represents a zero residual. (C) No, because there is no sign of a clear curve in the residual plot. (D) No, because the best fit line in the residual plot is roughly horizontal. (E) No, because logarithms base 10 were used, when natural logarithms are more appropriate for use with physical data.

Explanation / Answer

Q.33 Here answer would be (B), which shows that the vertical spread of points in the residual plot is roughly cenetered about the horizontal axis that represents a zero residual.

Option (A) means a random pattern but that's not enough to be a part of linear regression, they must be random across zero residual line. So, option A is wrong.

Option (C) is right but not in this context. residual doesn't necessarily have a clear curve in the residual plot. So, option (C)is wrong.

Option (D) is completely wrong. best fit line in the residual plot is always horizontal. so, option D is wrong .

Option (E) logarithms doesn't make too much impact on the regression so not correct.

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