Suppose for estimating y, the equation ŷ = 5 − 2x is obtained for the data,…

2021

Suppose for estimating y, the equation ŷ = 5 − 2x is obtained for the data, which of the following is true for this situation?

  1. A.

    The y intercept of line is 2

  2. B.

    The slope of line is negative

  3. C.

    The line represents inverse relationship

  4. D.

    None of the above

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Show answer & explanation

Correct answer: B

The regression equation ŷ = 5 − 2x indicates a negative linear relationship. The slope of -2 means y decreases by 2 units for every one unit increase in x, while the intercept of 5 represents the predicted y value when x is zero.

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