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Presentation/PPT
27/08/2022
Week 4 Assignment
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INDICATE IF YOU HAVE YOUR OWN ACCESS AND USE TO STATCRUNCH. ALL ANSWERS MUST SHOW ALL STEPS WITH A SHORT EXPLAINATION OF EACH STEP, SHOW GRAPHS AND COPY TO BOTH EXCEL SPREASHEET AND WORD DOC.
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1. 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
2. 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
3. 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
4. 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
5. 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)
Subject undergrad GPA GREverbal GREquant Motivation
1 2.9 560 540 55
2 3.2 550 590 65
3 3.4 600 550 70
6. 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
7. According to the University of Chicago, as men age, their cholesterol level goes up. A new drug (XAB) is being tested to determine if it can lower cholesterol in aging males and at what dose. The data for the first test subject is below:
Dose (mg) 2 3 5 6 8 10
Cholesterol level (mg/dL) 310 124 201 110 52 20
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