Mathematics · Linear Regression
Consider a paired data dataset (xi, yi) for i = 1, 2, 3, 4, 5 where (x1, x2, x3, x4, x5) = (-2, -1, 0, 1, 2) and yi = xi2 for all i. If a simple linear regression model with an intercept term and one without an intercept term are fitted to this data using the method of least squares, which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The model without intercept passes through at least one of the observed data points.
- 2The model with intercept passes through at least one of the observed data points.
- 3The two fitted models have the same intercept.
- 4The two fitted lines have the same slope.✓
Correct answer
The two fitted lines have the same slope.
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