The relationship between height and longevity

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Reference no: EM131808275

Small Is Beautiful: The relationship between Height and Longevity. The data below shows the President of USA, his age at time of death, and his height. Age at Time Height President of Death (inches) Madison 85 64 Van Buren 79 66 B. Harrison 67 66 J, Adams 90 67 J.Q. Adams 80 67 Jackson 78 73 Washington 67 74 Arthur 56 74 F. Roosevelt 63 74 L. Johnson 64 74 Jefferson 83 74.5. A simple linear regression of the model: LONGEVITY = b + b HEIGHT was run and the computer output results are shown below. Use the output to respond to the following questions:

(a) What sort of relationship exists between the height of the president and the longevity of the president?

(b) Interpret the meaning behind the values of the estimated b and b .

(c) Predict the expected longevity of a president who is: (i) 48 inches, (ii) 60 inches, (iii) 70 inches, (iv) 80 inches tall.

(d) At a level of significance, α = 0.05, test for the significance of the relationship between height and longevity. What is your conclusion? What comments do you have on the predictions you made in part (c)?

(e) Give an interpretation to the R-Square value in the computer output.

Reference no: EM131808275

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