An instructor researcher wishes to determine the extent of relationship of the results between the reading comprehension test and the vocabulary test among students. There were 12 students who became the subject of the study and their test are shown below: Reading Comprehension (x) | 3 | 7 | 2 | 9 | 8 | 4 | 1 | 10 | 16 | 5 | 3 | 8 Vocabulary (y) | 11 | 1 | 19 | 5 | 17 | 3 | 15 | 9 | 15 | 8 | 12 | 4 5. If the instructor wants to know if there is a relationship between the two variables, which statistical treatment is best to be used? A. Chi Square C. Pearson Product Moment Correlation Coefficient B. Linear Regression D. Z-Test of Dependent Means 6. What is the sum of the value of the variable x? A. 67 C. 119 B. 76 D. 191 7. What is the sum of the value of the variable y? A. 67 C. 119 B. 76 D. 191 8. Which of the following equations are correct? I. ?x² = 678 II. ?y² = 1561 III. ?(xy) = 724 A. I and II C. II and III B. I and III D. All of the above 9. What is the computed r-value of the correlation? A. -0.10 C. 0.85 B. -0.54 D. 0.95 10. What is the corresponding interpretation for the computed r value? A. High Positive Correlation C. Low Positive Correlation B. Moderate High Positive Correlation D. Negligible Negative Correlation
Added by Rocio L.
Close
Step 1
The best statistical treatment to determine the relationship between the two variables is the Pearson Product Moment Correlation Coefficient. Show more…
Show all steps
Your feedback will help us improve your experience
Dominador Tan and 72 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
Question 6.2 A study was conducted to determine the effect of extra help sessions attended on student’s ability to avoid mistakes on a 20- multiple choice test. The data shown below represent the number of extra help sessions attended(x) and the average number of mistakes (y) recorded. x | 1 | 2 | 3 | 4 | 5 | 6 y | 6.1 | 5.1 | 5.0 | 4.2 | 3.7 | 3.2 ∑x_i = 21 ∑y_i = 27.3 ∑x_iy_i = 85.8 ∑x_i^2 = 91 ∑y_i^2 = 129.79 n = 6. a) Calculate the sample correlation coefficient. Describe the relationship between the number of extra help sessions attended and the average number of mistakes recorded. Calculate the sample correlation coefficient. b) Find the best fitting line relating the number of extra help sessions attended and the average number of mistakes recorded. c) Interpret the slope of this line in the context of the problem. d) What is the estimated number of mistakes recorded when the number of extra help sessions is 5. e) Circle your answer, either true or false, for each question. 1. Regression procedures are appropriate for studying a relationship between two categorical variables. True False 2. Correlation/association implies causation. True False 3. Correlation coefficients (correlations) range from -1 to 1. True False 4. If a correlation is close to 0, it means there is no relationship between X and Y. True False
Madhur L.
QUESTION 1 There are different types of correlation one can use based on the types of variables being examined. When conducting an analysis, when do you need to use Spearman's rho instead of Pearson's r? When the data are nominal or ordinal. When the data are ratio or interval. When the data are random. Spearman's rho should never be used for correlations. QUESTION 2 True/False. If you found a strong positive correlation between the number of hours learners spent reading their textbooks and their quiz scores, you could conclude that reading the textbook caused better performances. True False QUESTION 3 True/False. The university study found a positive correlation between the number of weekly course log-ins and end of course evaluation scores, r = .16, p = .07. Based on this, it could be concluded that there is a significant association between the number of log-ins and end of course evaluation scores. True False QUESTION 4 The correlational finding that test anxiety increases grades decrease is an example of which of the following? A negative correlation. A positive correlation. The direction of the correlation cannot be determined. A neutral correlation. QUESTION 5 What measures the strength of the correlation? The dependent variable. The independent variable. The p-value. The correlation coefficient. QUESTION 6 Correlation coefficients are always between which of the following? -1.0 and +1.0 0 and +1.0 -1.0 and 0 QUESTION 7 Which of these is a weak negative correlation? r = .9 r = .91 r = -.12 r = .43 QUESTION 8 Which of these is a strong positive correlation? r = .86 r = -.93 r = .27 r = .03 QUESTION 9 Which of these is a perfect positive correlation? r = 1.0 r = -1.0 r = 0 r = 100 QUESTION 10 True/False. Correlation is the best analysis to use if your independent and dependent variables are nominal. True False
Caroline M.
Please answer these four questions: 1. Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your findings to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05. r = 0.75, n = 9. 2. Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level alpha. n = 11, alpha = 0.013. 3. Use the given data to find the best-predicted value of the response variable. Six pairs of data yield r = 0.789 and the regression equation y-hat = 4x - 2. Also, y-hat = 19.0. What is the best-predicted value of y for x = 5? 4. Construct the indicated prediction interval for an individual y. The paired data below consists of test scores and hours of preparation for 5 randomly selected students. The equation of the regression line is y-hat = 44.845 + 3.524x, and the standard error of estimate is Se = 5.40. Find the 99% prediction interval for the test score of a person who spent 7 hours preparing for the test. x Hours of preparation: 5, 2, 9, 6, 10 y Test score: 64, 48, 72, 73, 80
Adi S.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD