The slope and y-intercept of a Least-Squares Regression Line produced by JMP are found in this column.

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BlackTom AI · Accepted Answer

The prompt asks about where the slope and y-intercept of a Least-Squares Regression Line produced by JMP are found. Since the answer list includes only the word 'Estimate' and there are no other choices provided, we cannot compare or contrast multiple options. Nevertheless, we can reason about the underlying concept.

In regression output, the slope and the intercept are the parameters of the fitted line y = beta0 + beta1*x. These beta coefficients are estimates of the true population parameters, derived from the data via least-squares minimization. In JMP, the table that reports these values is the Parameter Estimates (or similar) section, and the numeric values that appear there for the intercept (beta0) and the slope (beta1) are labeled as estimates of the parameters.

Therefore, the term that describes these quantities in JMP’s output is indeed an 'Estimate' of the slope and intercept. If the question’s intended choice was a column label, it would refer to the column containing the estimated parameter values, typically labeled 'Estimate' or 'Coefficient Estimate' in JMP’s regression output.

If a student were considering other potential column labels (for example, 'Test,' 'Std Error,' or 'p-value'), those columns contain different statistics: standard errors, t-statistics, and p-values, not the parameter estimates themselves. The slope and intercept are not found in those columns because they represent different aspects of the regression results.

In summary, the correct conceptual sticking point is recognizing that the numbers for the intercept and slope are the estimated parameters, and in JMP these estimates are shown in the column labeled 'Estimate' within the regression output. The reason other potential labels would be incorrect is that they pertain to inference measures rather than the parameter estimates themselves.

STAT 1450.02 SP2025 (28132) Checkpoint 5.2 & 5.3

The slope and y-intercept of a Least-Squares Regression Line produced by JMP are found in this column.

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