Saudi Electronic University 2011 CSTS-SEU-KSA 1. Find the Linear correlation coefficient between variables x and y...
Imagine that the linear correlation between variables X and Y is r = 0.35. Further imagine that the mean of variable X is 4 and that the mean of variable Y is 6. If we correctly calculated a simple linear regression equation to predict values of Y (based on the corresponding value of X), how much error could we remove from our predictions, relative to just guessing the mean of Y = 6 for everyone in the data set?
What is the critical value for the linear correlation coefficient, r, for a sample of size n = 15 with α = .01 ? (Round to the nearest thousandth. The linear correlation coefficient for a set of paired variables is r = .897. What proportion of the variation in y can be explained by the linear relationship between x and y? (Type the percentage rounded to the nearest hundredth without the % sign. The linear regression equation for a set...
1.Find the linear correlation coefficient for the paired data: (5,64), (10,86), (4,69), (6,86), (10,59), (9,87). 0.333 0.678 -0.224 0.750 0.999 -0.678 0.975 0.224 21. 2.Find the linear correlation coefficient for the paired data: (46.6,8), (27.2,8), (43.1,3), (29.0,9), (34.8,2). 0.2730 -0.181 0.543 0.307 -0.273 -0.307 -0.273 3. Find the equation of the regression line for the paired data: (6,2), (8,4), (20,13), (28,20), (36,30). y = -3.79x + 0.897 y = -3.79 + 0.897 y = -2.79 + 0.897x y = 0.897x...
If the correlation between variables x and y is r = .50, then the coefficient of determination is a. .50. b. 0. c. 1.00. d. .25.
In a simple linear regression study between two variables x ( the independent variable) and y (the dependent variable), a random large sample is collected and the coefficient of correlation r = −.98 is calculated. A)Which of the following conclusion may be made? Group of answer choices x and y are almost perfectly correlated, and y increases as x is increased. x and y are almost perfectly correlated, and y decreases as x is increased. x and y are moderately...
12. (20 pts) Compute the linear correlation coefficient of the following set of data points: X y 19 1 4 18 14 5 6 9 6 1 Use formula to find the linear correlation coefficient.
correlation and regression 210 Statistics EXTRA CREDIT Correlation and Regression Formulas written Assignment 1. Follow the instructions below to calculate the correlation coefficient and least squares regression line for the data set below. Z 22,- The sample means and sample standard deviations for the two variables are listed below: X = 4 x = 2 3 =5 Sy = 1 The linear correlation coefficient is = 52. Calculate this correlation coefficient using the steps below: (a) First, complete the columns...
2. Let the following data be given where X is the independent variable and Y is the dependent variable Find the correlation coefficient r a. a and B,onpfrom the sample for the model: b. Estimate +tx and the actual data Y where ε is the random error between the fitted model f by Y write the linear equation P=" dr-h Predict the value of P when x = 8 c. d. 2. Let the following data be given where X...
Please help A sample of measurements is given 8. Compute the coefficient of correlation, m 9. Find the line of the linear regression of Y from X and predict Y if X-0.5 ake conclusions about dependence of variables.