Question

Let X= the miles per hour driven and Y= Stopping distance in ft. Ifyou record data and see X= 10, 30, 40, 50 and Y= 2, 6, 11,16.Find: a.) The regression coefficients b1 and bo for our linear Regression Model Y= b1X+bo +error . Also, which variable is the explanatory variable and which is the response variable? (hint: Part A of lesson5 part 1 will explain what an explanatory variable and response variable is) b.) Find the correlation coefficient r. Please show work. Does its how a strong positive correlation or a strong negative correlation and why? (hint: Please see part C of lesson 5 part 1 as reading this will be helpful) c.) Find the coefficient of determination. What does this tell us about the % of Variation in Y (Stopping Distance) explained by X(miles per hour driven )? (hint: Please see part D of lesson 5 part1 for help with this question)

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