Question

1. A student majoring in Health Sciences with a minor in Sports Medicine wanted to see if there was a linear relationship between the height and weight of male professional athletes.

a) Using the equation for the line of best fit determine the weight of a male professional athlete that is 75 inches tall. If you cannot determine the answer, please give a reason why.
b) What is the slope? What does it represent in this example? (4 points)

c) What is the y-intercept? What does it represent in this example? Is it meaningful?

d) Can you accurately predict the weight of a male professional athlete who is 60 inches tall? Please give a reason for your answer

e) Interpret what R-Sq means in this example and find the linear correlation coefficient r.

f. Determine the weight of a woman professional basketball who height is 72 inches. If you can’t make the prediction please explain why you can’t.

2. A nursing student randomly selected 30 States and created the following graph.

A student claims the linear correlation coefficient is r = - 0 .97.   

a. Explain how you know that the student is incorrect?
b. Another student claims the linear correlation coefficient is r = 1.01. How do you know this student is incorrect?

3.
a) Which of the following is the best estimate for the value of the linear correlation coefficient r ? 1) r is between –1.0 and –0.5 2) r is between –0.5 and 0 3) r is between 0 and 0.5 4) r is between 0.5 and 1.0

b) Estimate the income for someone who has 15 years of experience.

c) True or false: The scatterplot shows years of experience caused a person’s income to increase.

Answer 1