BST322 Week4 Assignment
bilalmursaleenQ: For each correlation coefficient below, calculate what proportion of variance is shared by the two correlated variables:
a. r = 0.25
b. r = 0.33
c. r = 0.90
d. r = 0.14
Q: For each coefficient of determination below, calculate the value of the correlation coefficient:
a. r2 = 0.54
b. r2 = 0.13
c. r2 = 0.29
d. r2 = 0.07
Q: Suppose a researcher regressed surgical patients’ length of stay (dependent variable) in the hospital on a scale of functional ability measured 24 hours after surgery. Given the following, solve for the value of the intercept constant and write out the full regression equation:
Mean length of stay = 6.5days; mean score on scale = 33; slope = -0.10
Q: Using the regression equation calculated in Exercise 3, compute the predicted value of Y (length of hospital stay) for patients with the following functional ability scores:
a. X = 42
b. X = 68
c. X = 23
d. X = 10
Q: Use the regression equation below for predicting graduate GPA for the three presented cases.
Y′ = -1.636 + 0.793(undergrad GPA) + 0.004(GREverbal) – 0.0009(GREquant)
+0.009(Motivation)
Q: Using the following information for R2, k, and N, calculate the value of the F statistic for testing the overall regression equation and determine whether F is statistically significant at the 0.05 level:
a. R2 = 0.13, k = 5, N = 120
b. R2 = 0.53, k = 5, N = 30
c. R2 = 0.28, k = 4, N = 64
d. R2 = 0.14, k = 4, N = 64
- 6 years ago
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