Question

In: Statistics and Probability

Test A               Score Respondent        X              Y &n

Test A               Score

Respondent        X              Y         x-x       ( x-x) 2         y-y      ( y-y) 2  ( x-x) ( y-y)

Jones

77

51

24.8

615.04

7.8

60.84

193.44

Dunn

66

59

13.8

190.44

15.8

249.64

218.04

Dean

41

44

-11.2

125.44

0.8

0.64

-8.96

Hampton

47

34

-5.2

27.04

-9.2

84.64

47.84

Nichols

32

28

-22.2

492.84

-15.2

231.04

337.44

  Test B               Score

Respondent        X              Y         x-x       ( x-x) 2         y-y      ( y-y) 2  ( x-x) ( y-y)

Jones

50

51

-3.4

11.56

7.4

54.76

-25.16

Dunn

38

69

-15.4

237.16

25.40

645.16

-391.16

Dean

58

34

4.6

21.16

-9.6

92.16

-44.16

Hampton

49

36

-4.4

19.36

-7.6

57.76

33.44

Nichols

72

28

18.6

345.96

-15.6

243.36

-290.16

a. Calculate Pearson’s Product Movement Correlation Coefficient (r) for Test A. Show your work. (6 points)

b. Based on the correlation coefficient which you calculated, in two words how would you describe the relationship between the two variables in Test A? (4 points)

c. Calculate Pearson’s Product Movement Correlation Coefficient (r) for Test B. Show your work. (6 points)

d. Based on the correlation coefficient which you calculated, in two words how would you describe the relationship between the two variables in Test B? (4 points)

e. Which test would you select? (2 points) Why? (4 points)

Solutions

Expert Solution


Related Solutions

The following data on x = score on a measure of test anxiety and y =...
The following data on x = score on a measure of test anxiety and y = exam score for a sample of n = 9 students are consistent with summary quantities given in a paper. Higher values for x indicate higher levels of anxiety. Compute the value of the correlation coefficient. (Give the answer to four decimal places.) r = ________ x 23 13 15 0 17 21 19 14 20 y 44 59 49 76 49 51 46 52...
In the table below, let X be the number delinquent peers a respondent has and Y...
In the table below, let X be the number delinquent peers a respondent has and Y be the number of arrests they have.  Calculate the bivariate correlation between X and Y and provide an interpretation of the correlation coefficient documenting whether it is significant. X Y 2 1 3 1 3 3 5 3 6 3 6 5 7 6 8 8 8 9 10 9 Using the data, calculate the equation for an ordinary least squares regression (slope, Y-intercept, and...
Given two functions, M(x, y) and N(x, y), suppose that (∂N/∂x − ∂M/∂y)/(M − N) is...
Given two functions, M(x, y) and N(x, y), suppose that (∂N/∂x − ∂M/∂y)/(M − N) is a function of x + y. That is, let f(t) be a function such that f(x + y) = (∂N/∂x − ∂M/∂y)/(M − N) Assume that you can solve the differential equation M dx + N dy = 0 by multiplying by an integrating factor μ that makes it exact and that it can also be written as a function of x + y,...
find zero state response y[n+4]-y[n]=x[n], if x[n]= e^-n u[n]
find zero state response y[n+4]-y[n]=x[n], if x[n]= e^-n u[n]
Suppose X and Y are two independent random variables with X~N(1,4) and Y~N(4,6). a. P(X <...
Suppose X and Y are two independent random variables with X~N(1,4) and Y~N(4,6). a. P(X < -1.5). b. P(0.5Y+1 > 5). c. P(-2 < X + Y < 5). d. P(X – Y ≥ 3).
On a test you obtain a score of X = 80. If the instructor for the...
On a test you obtain a score of X = 80. If the instructor for the course provided descriptive statistics (M, SD) for the distribution of test scores, which result would you prefer: (a) M = 76, SD = 2 or (b) M = 76, SD = 8. Please explain your choice.
Suppose that X, Y and Z are normally distributed where X ≈ N(100,100), Y ≈ N(400,...
Suppose that X, Y and Z are normally distributed where X ≈ N(100,100), Y ≈ N(400, 400) and Z ≈ N(64,64). Let W = X + Y + Z. a) Describe the distribution of W, give a name and parameters E(W) and Var(W). b) Use Excel or R to generate 200 random values for X, Y and Z. Add these to obtain 200 values for W. Create a histogram for W. In Excel use the NORMINV(rand(),mean, sd) function. c) Estimate...
Question 1. Given the following table answer the questions.                           Score Respondent   &nb
Question 1. Given the following table answer the questions.                           Score Respondent          X            Y         x-x       (x-x) 2         y-y      ( y-y) 2     ( x-x) ( y-y) A. Rose                 18          92    B. Bush                 36          65     C. Novicevic         24          91 D. Vitell                28          85                                                                        E. Walker              25          70     a. Calculate Pearson’s Product Movement Correlation Coefficient (r). Show your work. b. Based on the correlation coefficient which you calculated, in two words how would you describe the relationship between the two variables in the “test”? Question 2. PHR Score                Score Respondent        X             Y         x-x       (x-x) 2         y-y      ( y-y) 2     ( x-x) ( y-y) A....
using matlab, compute and plot y [n] = x [n]* h [n], where a. x [n]...
using matlab, compute and plot y [n] = x [n]* h [n], where a. x [n] = h [n] = a^n (0 <=n <=40) & a = 0.5 b. x [n] = cos [n]; h [n] = u [n]; n = 0:4:360 c. x [n] = sin [n] ; h [n] = a^n; n:4:360; a = 0.9
The computer-science aptitude score, x, and the achievement score, y (measured by a comprehensive final), were...
The computer-science aptitude score, x, and the achievement score, y (measured by a comprehensive final), were measured for 20 students in a beginning computer-science course. The results were as follows. x 5 15 21 12 23 22 16 19 20 17 17 16 7 7 4 21 17 10 18 15 y 19 19 24 36 27 26 25 28 17 27 21 24 18 18 14 28 21 22 20 21 (a) Find the equation of the line of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT