For this scatterplot, the r2 value was calculated to be 0.9382. Beach Visitors Vs. Average Daily Temperature 130 125 120 115 110 105 100 95 90 85 80 75 70 Number of Visitors Average Daily Temperature (in degrees Fahrenheit) Which of the following set of statements is true? There is no strong correlation in the linear association between beach visitors and daily temperatures. The correlation coefficient, r, is 0.880 About 94% of the variation in daily temperature can be explained by a positive linear relationship with beach visitors. The correlation coefficient, r, is 0.880 About 94% of the variation in beach visitors can be explained by a positive linear relationship with daily temperature. The correlation coefficient, r, is 0.969. About 94% of the variation in beach visitors is explained by a negative linear relationship with daily temperatures. The correlation coefficient, r, is 0.969.
Added by James G.
Close
Step 1
9382, which means that approximately 93.82% of the variation in one variable can be explained by the other variable. This indicates a strong correlation. Second, the correlation coefficient (r) is the square root of the r2 value. In this case, the correlation Show more…
Show all steps
Your feedback will help us improve your experience
Ahmad Reda and 74 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
5. The following table shows the Temperature and number of visitors to a beach: Temp | 82 | 84 | 86 | 86 | 87 | 88 | 89 | 92 | 94 | 94 | 96 Number of visitors | 80 | 225 | 300 | 362 | 95 | 450 | 525 | 450 | 500 | 600 | 580 a) Draw and label a scatter diagram to show the correlation between Temperature and Number of visitors (6 marks) b) Draw a best fit line (with intercept and slope) and use it to predict the number of visitors on a day with Temperature of 90 (2 marks) c) The Coefficient of Correlation (r value) is 0.8 and the Coefficient of Determination (r² value) is 0.64. What do these values show about the relationship between Temperature and number of visitors at the beach? (2 marks) d) Explain with at least 2 reasons, why the correlation is not perfect and suggest another variable which could also affect the number of visitors to the beach (2 marks)
Donna D.
Directions: Use the table to help you answer questions 23 - 26. Below shows a scatterplot comparing the average daily temperature to the number of people who go to the beach on that particular day. 23. What is the form of the scatterplot? A. Linear B. Exponential C. Quadratic D. Cubic 24. Which of the following describes the direction of the scatterplot? A. Positive Relationship B. Negative Relationship C. Both A & B D. No Relationship 25. Describe the relative strength of the scatterplot. A. Weakly associated B. Strongly associated C. Both A & B D. Not enough information given 26. Is this relationship a matter of association or a cause and effect? A. Association, because it just happens that way B. Association, because the temperature does not determine the visitors C. Cause and effect, because the daily temperature effects the number of visitors at the beach D. Cause and effect, because the number of visitors effects the temperature each day.
Jerelyn N.
In $15-19$ a. Draw a scatter plot for each data set. Based on the scatter plot, would the correlation coefficient be close to $-1,0,$ or 1$?$ Explain. c. Use a calculator to find the correlation coefficient for each set of data. The table below shows the same-day forecast and the actual high temperature for the day over the course of 18 days. The temperature is given in degrees Fahrenheit.
STATISTICS
Correlation Coefficient
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