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A random sample of patients who attended a clinic was selected. The age of the p

ID: 3226464 • Letter: A

Question

A random sample of patients who attended a clinic was selected. The age of the patient (years) and the number of days since the last visit to the clinic were collected, and the relationship between the variables was observed to be linear, strong, and negative. The regression equation for predicting number of days since the last visit from the age of the patient is: Predicted y = 600.081 – 8.694x

Part A

For a 50 year old patient what is the predicted number of days since last vist to the clinic?

Part B

the correlation between 2 variables -.05. If we used a regression line to predict number of days(y) since the last visit using age of the patient(x), what percent of the variation in y would be explained?

Explanation / Answer

a) y = 600.081 - 8.694x

put x = 50

y = 600.081 - 8.694 * 50

= 165.381

b) r = -0.05

r^2 = 0. 0025

percent of variation in y = 0.0025 * 100 = 0.25

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