The slope in a least-squares regression line of the form y = a+bx is ____________.

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BlackTom AI · Accepted Answer

The question asks about the slope in a least-squares regression line written in the form y = a + b x. In this standard linear regression model, the intercept is a and the slope is b, which represents the change in y associated with a one-unit change in x.

Since the provided answer field indicates the correct option as 'b', we can verify that the slope corresponds to the coefficient of x in the equation, i.e., b.

However, the answer_options array is empty in this input. Without the list of alternative choices, we cannot evaluate why other options (if any) would be incorrect or correct. In a typical multiple-choice setup, you would compare the identified slope 'b' to each offered option, confirming that the statement asserting the slope is the coefficient b is accurate and that other letters (if they were present) would not correspond to the slope.

In summary, conceptually, the slope in y = a + b x is b, since b multiplies the predictor x and determines the rate of change of y with respect to x. The absence of answer choices here prevents a comparative analysis, but the core definition confirms that b is indeed the slope.

STAT 1450.02 SP2025 (28132) Checkpoint 5.1

The slope in a least-squares regression line of the form y = a+bx is ____________.

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