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BCC Percentage of the Variation & Correlation Coefficient Questions

BCC Percentage of the Variation & Correlation Coefficient Questions

Question Description

Use the data below for the temperatures on randomly chosen days during a summer class and the number of absences on those days to answer questions 1-10

Temperature, x 72 85 91 90 88 98 75 100 80

Number of absences, y 3 7 10 10 8 15 4 15 5

1. The mean value of x is: A. 77 B. 86.56 C. 90

2. The mean value of y is: A. 8.56 B. 9.02 C. 10.10

3. The value for the standard deviation of x is: A. 89.04 B. 9.59 C. 10.01

4. The value for the standard deviation of y is: A. 4.14 B. 4.39 C. 5,64

5. The equation of the linear regression line is: A. y = 0.449x + 30.27

B. y = 30.27x + 0.449 C. y = 0.449x – 30.27

6. The percentage of the variation in y that can be explained by the variation in x is approximately: A. 96 B. 97 C. 98

7. The correlation coefficient, r value is: A. 0.96 B. 0.98 C. -0.98

8. The corelationship between x and y can be considered as: A. Strong positive B. strong negative C. no correlation

9. The number of absences for a day with the temperature at 82 as predicted by the linear regression equation is: A. 8 B. 7 C. 5

10.Using the least-squares linear regression line equation we can state that when temperature increases by 10 degree, the number of absences increase by approximately A. 5 B. 6 C. 7/

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