Which of the following correlation coefficients shows the strongest relationship?
statistics multi-part question
Please show all work, everything is included in the PDF.
Requirements: Enough to answer the questions | .doc file
Question 1 (5 pts): Which of the following correlation coefficients shows the strongest relationship?
0.68
-0.05
0.50
-0.96
Explain:
Question 2 (5 pts): True or False: If y is usually greater than x, the correlation coefficient between x and y will be positive.
Ture or False:
Explain:
Question 3 (5 pts): The correlation coefficient between body weight and blood pressure for men was about 0.70; for the women, it was about the same. If you take the average of men and women, respectively, the correlation coefficient between body weight and blood pressure would be___________
About 0.70 B. Between 0.50 – 0.70 c. Higher than 0.70
Explain:
Question 4 (5 pts):True or False: In a study of students GPA among students from 10 different majors at UCI, the average GPA is 3.7 in Biological Science while the average GPA is 3.6 in Engineering. So the data shows that on average, the instructors in Biological Science are doing a better job in teaching than the instructors in the Engineering department.
True or False:
Explain:
Question 5 (15 pts): The table below records the minutes of exercise per day and hours of sleep during weekdays and weekends in a research study. (use n=7, keep one decimal place)
Find out the correlation coefficient between hours spent on exercise and hours of sleep during weekdays and weekends, respectively. Show your work.
On what days (weekdays or weekends), hours spent on exercise is more strongly correlated with hours of sleep? Why?
The same group of participants all decided to extend 20 minutes of exercise everyday during weekdays and double the amount of their exercise time on the weekend. However, they found out their sleep time still remained the same. Calculate the new correlation coefficients for both groups and explain how it differs from the previous schedule.
Question 6 (15pts): There was a health study among the senior population in Orange County, where a large group of individuals have their systolic blood pressure (SBP) measured at age 65 and again at age 75. The following results are obtained.
Age 65: average SBP = 140 mmHg, SD=5 mmHg
Age 75: average SBP = 145 mmHg, SD=7.5 mmHg
r=0.80
Estimate the average SBP at age 75 for all the individuals who had SBP of 145 mmHg at age 65.
Predict the SBP at age 75 for an individual who had SBP of 135 mmHg at age 65.
Another person aged 65 from New York City, with an SBP of 150 mmHg, would like to know his systolic blood pressure in 10 years based on your research results. Would you be able to help him calculate it? If so, write down your prediction. If not, explain why.
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