The data below are the final exam scores of 10 randomly selected history student

Question

The data below are the final exam scores of 10 randomly selected history students and the number of hours they studied for the exam. Create a scatter diagram. b) The correlation coefficient (pi) is 0.847 Interpret the strength of the relationship between hours and score. c) Determine the coefficient of determination (R squared) and it's. Write your answer in percent with one decimal place. d) The regression equation of the data below is y = 5.04 X + 56.11. Interpret the slope regression line. e) Use the regression equation to interpolate (predict within data range) the test score a student who studied 7 hours.

Explanation / Answer

a) Scatter Plot b) Correlation coefficient = 0.847 Since 0.847 is much closer to one, we can say that there is a strong uphill correlation between the number of hours studied and scores obtained. c) Coefficient of Determination = R2 = (0.847)2 = 0.717 R squared = 71.7% Interpretation : 71.7% of the variation in final scores can be explained by considering the hours the students studied. d) y = 5.04x + 56.11 Slope = 5.04 Interpretation : If the hours studied increases by 1 then we predict that the score of the student will increase by 5.04 e) Regression equation is y = 5.04x + 56.11 Given x = 7 hours To find y y = 5.04 (7) + 56.11 y = 91.39 Thus the predicted test score of a student who studies for 7 hours is 91.39

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