A simple random sample of 15 paired values (x,y) yields the following statistical calculations:
∑x=108, ∑y=141, ∑(x2)=1249, ∑(y2)=2278, ∑(xy)=1682.
Find the linear correlation coefficient r=
A simple random sample of 15 paired values (x,y) yields the following statistical calculations: ∑x=108, ∑y=141,...
Consider a data set consisting of values for three variables: x, y, and z. Three observations are made on each of the three variables. The following table shows the values of x, y, z, x2, y2, z2, xy, yz, and xz for each observation. Observation x y z x2 y2 z2 xy yz xz 6 6 2 36 36 4 36 12 12 4 3 8 16 9 64 12 24 32 2 6 5 4 36 25 12 30...
QUESTION 2 Following scatter plot represents a sample of paired X and Y values. Which of the listed values of the linear correlation coefficient r is most likely to represent the given scater plor? r= -0.711 r= 0.667 r= 0.099 r= -0.018 and submit. Click SSare All Anscers to suce all ansers 13 14 Find the 99% confidence interval for the mean time it takes for conducting a job interview for a position of a retail associate in a supermarket...
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...
Consider the following sample data: x 13 3 5 15 6 y 389 206 97 35 6 b-1. Calculate the sample covariance. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Sample covariance b-2. Interpret the sample covariance. The covariance indicates that x and y have a positive linear relationship. The covariance indicates that x and y have a negative linear relationship. The covariance indicates that x and y have no linear relationship....
The following relates to Problems 26 - 27. Let X, Y be random variables and b a number. Problem 26: Find E (Y – bX)21 [1] E(X)b2 – 2E(XY)b+E(Y2); [2] E(X2)62 – E(Y); [3] -2E(XY)b+E(Y); [4] E(Y2); 151 E(X2)62 [6] Problem 27: Find b that minimizes E [(Y – bx)2] [1] E(YP); [2] E(X) – E(Y); [3] –2E(XY) + E(Y2); [4] ; [5]
Consider the following small data set. x-11 y- 22 , x-15 y-16 , x-12 y-27 , x-6 y-26 ,x-5 y- 21 Find the linear correlation coefficient. r=
A random sample of 15 weeks of sales (measured in $) and 15 weeks of advertising expenses (measured in $) was taken and the sample correlation coefficient was found to be r = 0.80. Based on this sample correlation coefficient we could state A. That the percentage of the variation in sales that is shared with the variation in advertising is about 80%. B. That the percentage of the variation in sales that is shared with the variation in advertising...
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...
Bivariate data obtained for the paired variables x and y are shown below, in the table labelled "Sample data." These data are plotted in the scatter plot in Figure 1, which also displays the least-squares regression line for the data. The equation for this line is y = -0.17+ 1.17x. In the "Calculations" table are calculations involving the observed y values, the mean y of these values, and the values y predicted from the regression equation. Sample data Calculations 69...
The following hypotheses are given. He:p20 Hip<0 A random sample of 15 paired observations has a correlation of - 46. Can we conclude that the correlation in the population is less than zero? Use the 05 significance level. 1. State the decision rule for 0.05 significance level. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) Reject HO ift 2. Compute the value of the test statistic. (Negative amount should be indicated by...