Which of the following properties of the correlation coefficient are False
choose all that apply
Question 8 options:
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a) -1 < r < 1
TRUE
b) r is not sensitive to outliers
FALSE
c) If you change the scale, then r stays the same
TRUE
d) If you add 7 to each x-value and subtract 9 from each y-value, the r stays the same
TRUE
e) r is called the correlation coefficient
TRUE
f) If you exchange x values and the y values, then r will become it's opposite
FALSE
Which of the following properties of the correlation coefficient are False choose all that apply Question...
Find the covariance and correlation coefficient for the following sets of data. Select the answers equal to or closest to your results. X: 50 44 47 40 54 Y: 10 13 95 7 Cov What does each measure tell you? Check all that apply. The covariance tells you that there is a weak or nonexistent linear relationship between X and Y The covariance and correlation coefficient tell you that there is a positive linear relationship between X and Y. The...
Examine the computation formula for r, the sample correlation coefficient (a) In the formula for r, if we exchange the symbols x and y, do we get a different result or do we get the same (equivalent) result? Explain your answer The result is different because the formula is dependent on the symbols. The result is the same because the formula is dependent on the symbols. The result is the same because the formula is not dependent on the symbols....
Assuming everything else stays the same, does the value of the Pearson correlation coefficient change if the mean for the X values is now 600 and the mean for the Y values is 400? Why or why not?
5. Calculating the Pearson correlation and the coefficient of determinationSuppose you are interested in seeing whether the total number of days students are absent from high school correlates with their grades. You obtain school records that list the total absences and average grades (on a percentage scale) for 80 graduating seniors.You decide to use the computational formula to calculate the Pearson correlation between the total number of absences and average grades. To do so, you call the total number of...
What is the correlation coefficient when the point (10.2) is excluded? r = _ (round to three decimal places as needed.) % 10.2.11 Question Help 104• Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation. c. Remove the point with coordinates (1,10) and find...
(8 points) Match the following sample correlation coefficients with the explanation of what that correlation coefficient means. Type the correct letter in each box. 1. r = -.15 2. r = 0 3. r = 1 4. r = -97 A. a strong negative relationship between x and y B. no relationship between x andy C. a weak negative relationship between x and y D. a perfect positive relationship between x and y Note: You can earn partial credit on...
Determine the value of the coefficient of correlation, r, for the following data. X 2 6 7 11 16 17 21 Y 18 15 13 8 7 7 6 (Round the intermediate values to 3 decimal places. Round your answer to 3 decimal places.) r =
Determine the value of the coefficient of correlation, r, for the following data. X 4 6 7 11 16 17 21 Y 18 13 13 8 7 7 5 (Round the intermediate values to 3 decimal places. Round your answer to 3 decimal places.) r= ?
State the conclusions for this test using APA format. First, describe the correlation coefficient in words and give the value of r. Then give the value of R squared and describe in words the effect size using the coefficient of determination. Exercise 15.4: Racial Bias and Product Advertising To test the extent to which racial bias influences how positively consumers view products advertised on television, a researcher first asked a sample of participants to complete a racial attitudes survey. Scores...
The (population) correlation coefficient, called p, is discussed in Section 4.5.2 of your text. Given two random variables X and Y with some joint distribution and means ux and uy, p= Corr(X,Y) = Cov(X, Y), where σχσY oſ = Var(x), of = Var(y) and Cov(X,Y) = E[(X - MX)(Y – My)] Given data, we can estimate p. Suppose that (X1,Y1), ..., (Xn, Yn) are independent and iden- tically distributed (i.i.d.) pairs of realizations of the random variables (X, Y). How...