Below is an incomplete table used in finding the correlation
between x and y based on three observations. Find the missing
values with the given information.
from given table:
x | y | xi-xbar | yi-ybar | (xi-xbar)/sx | (yi-ybar)/sy | |
1 | 6 | -4 | 2 | -1 | 1 | |
5 | 4 | 0 | 0 | 0 | 0 | |
9 | 2 | 4 | -2 | 1 | -1 | |
average | 5 | 4 | ||||
std deviation | 4 | 2 |
Below is an incomplete table used in finding the correlation between x and y based on...
4.he sample correlation coefficient between X and Y, rxy Sx/Sx S where S-the covariance between X and Ys Σ(X-XM) (-Yu)/ n-1 Sx the standard deviation of X and Sy the standard deviation of Y I) If the covariance is positive, the correlation coefficient must be positive: True or False? ii) If the covariance is negative, the correlation coefficient must be positive: True or False? a) ii) The correlation coefficient must lie between 0 and 1. True or False? v)lf the...
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For the data set below, calculate the correlation between X and Y to three (3) decimal places. To Use Excel's CORREL Function 1). Open up the worksheet above and select a blank cell you might need to click "Enable Editing" to select a cell). 2). Type -CORRELL 3). For "arrayı, select the column of values for one of the variables. Remember, for correlation that it does not matter which variable you call "X" and which you call "Y."...
Based on the data shown below, calculate the correlation coefficient (to three decimal places) x y 4 15.7 5 17.05 6 19 7 24.05 8 26.6 9 28.25 10 29.2
Consider n = 5 pairs (x! ,y, , . . . , (xt, y,'). Let x = n-ı Σ i , and y = n-ı Σ -1 y be the sample means of the x and y variables. Let & and Sy be the corresponding standard deviations. Let sry and rry be the sample covariance and sample correlation respective . Suppose x = 6.2,J = 8 8 2.95, sy4.494, sy 13.05. Part a) What is the sample correlation of the...
Based on the data shown below, calculate the correlation coefficient (to three decimal places) x y 4 23.14 5 21.07 6 19.1 7 18.33 8 19.86 9 18.49 10 18.42 11 19.45 12 19.28 13 18.61 14 16.34 15 15.97 16 15.4
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...
Fisher's exact test can be used as a quick test for correlation between two variables X and Y, each of which has at least an ordinal scale of measurement. Divide the scatterplot of the N values of (X,Y) with a vertical line at the median of X, and a horizontal line at the median of Y, and count the number of observations in each of the four quadrants. Note that the row and column totals are N/2, and are not...
Values of f (x, y are in the table below. 68 10 у0.2 5 719 4 6 5 Let R be the rectangle: 4.0 Sx 4.2 0.0 S y 0.4. Based on the values given in the table, find Riemann sums which are reasonable over and underestimates for f x, y) dA with ΔΧ-0.1 and Δy 0.2. Enter the exact answers. Lower sum Upper sum
Values of f (x, y are in the table below. 68 10 у0.2 5 719...
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?
Based on the data shown below, calculate the correlation coefficient (to three decimal places) x y 5 13.95 6 15.44 7 17.93 8 17.12 9 16.91 10 18.7 11 20.09 12 18.68 13 21.27 14 20.26 15 21.35 16 20.74 17 23.23 18 23.62 19 20.71