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For Questions , use the following narrative
Narrative: Study time and exam score
Suppose an algebra professor found that the correlation between study time (in hours) and exam score (out of 100) is +.80, and the regression line was found to be y = 20 + 4x.He arrived at this equation through years of collecting data on his students, most of whom reported studying anywhere from 0 to 20 hours for his exams.
-{Study time and exam score narrative} For which values of study time does the professor's regression equation make sense in terms of predicting exam scores?
Least Squares Regression Line
A straight line that minimizes the sum of the squared differences between the observed values and the values predicted by the line.
Estimated Value
An approximation of a quantity based on available information or statistical methods.
Observations
Individual data points or items recorded during an experiment or survey.
Least Squares Regression Line
A statistical method used to find a straight line that best fits a set of data points by minimizing the sum of the squares of the vertical distances of the points from the line.
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