Use the following to answer questions 26 and 28 The graph records the age in mon

Question

Use the following to answer questions 26 and 28 The graph records the age in months at which each of 21 children spoke their first word and their Gesell Adaptive Score (result of an aptitude test taken much later). The least squares regression Scatterplot of Score vs Age for 21 dhidren line is given also. Here is the summary of the data is given. x = 1 4.28 1 120 5, = 7 .95 sy = 13.99 110 100 901 y=93.67 r=-0.64 26. What is the slope of the least-squares regression line? 60 10 15 20 25 30 35 40 4 Age at first word (in months) 27. What is the predicted Gesell Adaptive Score for the child whose first word was at 26 months? 2 Ve 28. What is the equation of least square regression line?

Explanation / Answer

q26) slope = (-0.64*13.99/7.95) = -1.12624

27) Intercept = 93.67+1.12624*14.28 = 109.7527

Predicted value = 109.7527-1.12624*26 = 80.47

28) Equation is

y = 109.7527-1.12624x

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