In a regression equation, the intercept represents:
Correct Answer
A) The predicted value when all independent variables are zero
Why this is correct: The intercept in a regression equation is the constant term. By definition, it is the predicted value of the dependent variable (e.g., price) when all independent variables (e.g., square footage, age) are set to zero. As the original explanation notes, this value often lacks practical meaning in appraisal, such as a house with zero square feet, but it is the correct statistical definition. Why the other choices are wrong: 'The strongest predictor in the model' is incorrect; that is determined by the size and significance of the coefficients, not the intercept. 'The average prediction error across all of the observations' describes a measure like the standard error of the estimate, not the intercept. 'The correlation between price and size' is a separate statistic (like the correlation coefficient, r) that measures the strength and direction of a linear relationship. Exam tip: Remember the intercept as the starting point of the regression line when all X variables equal zero, even if that scenario is unrealistic.
Why This Is the Correct Answer
Why this is correct: The intercept in a regression equation is the constant term. By definition, it is the predicted value of the dependent variable (e.g., price) when all independent variables (e.g., square footage, age) are set to zero. As the original explanation notes, this value often lacks practical meaning in appraisal, such as a house with zero square feet, but it is the correct statistical definition. Why the other choices are wrong: 'The strongest predictor in the model' is incorrect; that is determined by the size and significance of the coefficients, not the intercept. 'The average prediction error across all of the observations' describes a measure like the standard error of the estimate, not the intercept. 'The correlation between price and size' is a separate statistic (like the correlation coefficient, r) that measures the strength and direction of a linear relationship. Exam tip: Remember the intercept as the starting point of the regression line when all X variables equal zero, even if that scenario is unrealistic.
More appraisal-statistical-methods Questions
A price index rises from 100 to 121 over two years. What compound annual rate does this represent?
A sample of four sales drawn from a market with 200 annual transactions is:
A set of comparable sales has a mean of $250,000 and a standard deviation of $20,000. What is the coefficient of variation?
A property sold for $400,000 and resold three years later for $463,050 with no physical change. What compound annual rate does this indicate?
An appraiser includes both 'total room count' and 'bedroom count' as independent variables in a regression model estimating single-family home sale prices. The variance inflation factor (VIF) for 'bedroom count' is calculated as 12.3. What is the most appropriate appraisal action based on this result?
An appraiser runs a regression of sale price on GLA, age, and a binary variable for 'renovated' (1 = yes, 0 = no). The estimated coefficient for 'renovated' is $18,400 with a standard error of $6,200 and a t-statistic of 2.97. Assuming a two-tailed test at Ξ± = 0.05 and 42 degrees of freedom, what conclusion is supported regarding the market's recognition of renovations?
To validate the functional form of a regression model used for adjustments, an appraiser plots residuals against predicted values and observes a clear inverted-U pattern. What does this pattern indicate, and what is the most defensible corrective action?
A histogram of neighborhood sale prices shows two distinct peaks. What does this most likely mean?
What does it mean to validate a regression model?
An appraiser includes months elapsed since each sale as a variable in a price model. What is this intended to capture?
People Also Study
Valuation Principles & Procedures
25% of exam
Property Description & Analysis
20% of exam
Market Analysis & Highest/Best Use
15% of exam
Appraisal Math & Statistics
15% of exam
USPAP (Ethics & Standards)
15% of exam
Previous Question
Nine sales cluster between $240,000 and $260,000, but one estate sale closed at $95,000. Which measure of central tendency best describes this market?
Next Question
In an approximately normal distribution, roughly what share of observations falls within one standard deviation of the mean?