Data on y time to complete a task (in minutes) and x number of hours of sleep on previous night were used to find the least squares regression line The equation of the line was 12 0 36x For this data set, would the sum of squared deviations from the line y 12 5 0 5x be larger or smaller than the sum of squared deviations from the least squares regression line Explain your choice

Question: Data on y = time to complete a task (in minutes) and x = number of hours of sleep on previous night were used to

Data on y = time to complete a task (in minutes) and x = number of hours of sleep on previous night were used to find the least squares regression line. The equation of the line was ˆ = 12 – 0.36x. For this data set, would the sum of squared deviations from the line y = 12.5 – 0.5x be larger or smaller than the sum of squared deviations from the least squares regression line? Explain your choice.

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