Problem 4: You have a dataset about 1000 students. You collected their test scores versus their studying time. Hence, your output (Y) is the test score and your input (X) is the number of hours they studied. You used linear regression to find a line that fits this data. The fitted line turned out to have ßo = 23 and ₁ = -0.3. 4.1 Write down the fitted equation. 4.2 If you know that a student studied 4 hours, what will his response variable be? 4.3 Given a true data point where x=2 and y=21. What is the residual for this data point? Is this true point above or below the fitted line? 4.4 Increasing x by 3 units, how will y change?

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