An instructor wants to show the students that there is a linear correlation between the number of hours they spent watching TV during a certain weekend and their scores on a test taken the following Monday. The number of television viewing hours and the test scores for 12 randomly selected students are shown in the table below. Hours 0 1 2 3 3 5 5 5 6 7 7 10 Score 96 85 82 74 95 68 76 84 58 65 75 50 Calculate and discuss the value of the correlation coefficient, r.
Added by Olivia L.
Step 1
Mean of hours (x̄) = (0 + 1 + 2 + 3 + 3 + 5 + 5 + 5 + 6 + 7 + 7 + 10) / 12 = 54 / 12 = 4.5 Mean of scores (ȳ) = (96 + 85 + 82 + 74 + 95 + 68 + 76 + 84 + 58 + 65 + 75 + 50) / 12 = 908 / 12 = 75.67 Show more…
Show all steps
Close
Your feedback will help us improve your experience
Supreeta N and 69 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Donna D.
Professor wants to research the correlation between their students' performance and time spent on watching web series. The professor asked students about how many hours per week they spent on watching web series and their grades in the last test. The following plot indicates the findings of this survey: 100 90 Y = -4.5845x + 103.58 80 R² = 0.9638 70 60 50 40 30 20 10 Weekly hours spent on watching web series Using the above chart, answer the following questions: a) Find the value of the coefficient of correlation, rounded to three decimals. [mark] b) Using this model, if a student spent 8 hours per week on watching web series, what would be their score on the test, rounded to two decimals? [mark]
T. L.
The table below shows the number of hours ten randomly selected students spent studying and their corresponding midterm exam grades. Using this data, consider the equation for the regression line, y = b1x, for predicting the midterm exam grade that a student will earn based on the number of hours spent studying. Keep in mind that the correlation coefficient may not be statistically significant for the data given. Remember, practice would be appropriate to use in making predictions if the correlation coefficient is not statistically significant. Hours Studying Midterm Grades Step 6 of 6: Find the estimated slope around your new decimal places.
Adi S.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD