8. The appropriate correlation coefficient for measuring the direction and strength of the relationship between one quantitative variable and one dichotomous variable is the Spearman rank-order correlation coefficient the Chi-square Test for Independence the phi correlation coefficient the point-biserial correlation coefficient

8. The appropriate correlation coefficient for measuring the direction and strength of the relationship between one quantitative variable and one dichotomous variable is the Spearman rank-order correlation coefficient the Chi-square Test for Independence the phi correlation coefficient the point-biserial correlation coefficient

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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What are the possible values for the correlation coefficient? O-1srs1 O 0srs1 O-1, -0.75, -05, -0 25, 0, 0 25, 0.5, 0.75, 1 Or21
Scenario: Is there a relationship between number of hours studied (X) and final exam scores (Y)? Question: What is the most appropriate statistical test to conduct given this scenario? Pearson's r correlation Spearman correlation Point Biserial correlation Phi correlation
The correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient ? (Greek letter rho)? You do not know how to build the formal structure of hypothesis tests of ? yet. However, there is a quick way to determine if the sample evidence based on ? is strong enough to conclude that there is some population correlation between the variables. In other words, we can use the value of r to determine if ? ≠ 0. We do this by comparing the value |r| to an entry in the correlation table. The value of ? in the table gives us the probability of concluding that ? ≠ 0 when, in fact, ? = 0 and there is no population correlation. We have two choices for ?: ? = 0.05 or ? = 0.01.
What is the relationship between the attendance at a major league ball game and the total number of runs scored? Attendance figures (in thousands) and the runs scored for 9 randomly selected games are shown below. Attendance 24 54 59 17 32 58 30 26 18 Runs 5 14 14 5 7 8 10 6 4 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:`H0: ` == 0`Ha:` ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically significant evidence to conclude that a game with higher attendance will have fewer runs scored than a game with lower attendance. There is statistically significant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the regression line is useful. There is statistically insignificant…
Fireworks and Injuries These data were obtained for the years 1993 through 1998 and indicate the number of fireworks (in millions) used and the related injuries. Fireworks in use x Related injuries y 87.1 12,600 117 12,500 115 10,900 118 7800 113 7000 Correlation coefficient=? Critical Value =?
The data obtained in a study on the number of absences in virtual class and the final grades of seven randomly selected students from a mathematics class. The data are shown below. To determine the significance of the correlation coefficient at 0.05 level of significance, what is the calculated or computed value (CV)? Final grade y Number of absences x in a virtual class 6. 82 86 15 43 9. 74 58 5 90 78 а. -1.59 b. -2.32 с. 2.32 d. 1.59
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Using the linear correlation coefficient given above, calculate and give the value of the coefficient of determination. Explain in a sentence what this means in the context of this example, treating gpa as a predictor.
The correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient ? (Greek letter rho)? You do not know how to build the formal structure of hypothesis tests of ? yet. However, there is a quick way to determine if the sample evidence based on ? is strong enough to conclude that there is some population correlation between the variables. In other words, we can use the value of r to determine if ? ≠ 0. We do this by comparing the value |r| to an entry in the correlation table. The value of ? in the table gives us the probability of concluding that ? ≠ 0 when, in fact, ? = 0 and there is no population correlation. We have two choices for ?: ? = 0.05 or ? = 0.01. (a) Look at the data below regarding the variables x = age of a Shetland pony and y = weight of that pony. Is the value of |r| large enough to conclude that weight and age of Shetland ponies are correlated? Use ? = 0.05. (Round your answer for r to four decimal…
Iilustraiion 19.28, A correlation :coefficient of 0.2 is obtained from a random sample of 1,600 pairs of observations. Do you think this value of correlation coefficient is signinificant?