General Studies · Linear Regression
Consider paired data (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. On this data, a simple linear regression model with an intercept term and a simple linear regression model without an intercept term are fitted 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 models have the same intercept
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