Question

In: Statistics and Probability

For the X,Y data below, compute:

For the X,Y data below, compute:

X Y

2

5
4 6
4 7
5 11
6 12

(a) the correlation coefficient and determine if it is significantly different from zero.

(b) find the regression line.

c) interpret the coefficient of the regression line

d) at 5% test if the Y is related to X

e) find the coefficient of determination and interpret this coefficient.

f) predict the value of average Y if the average of X is13

g) at 1% find the confidence interval and the prediction interval of the true value of average and the value of Y.

Solutions

Expert Solution


Related Solutions

PLEASE USE PYTHON CODE Compute the zero of the function y(x) from the following data: x...
PLEASE USE PYTHON CODE Compute the zero of the function y(x) from the following data: x = 0.2, 0.4, 0.6, 0.8, 1.0 y = 1.150, 0.855, 0.377, -0.266, -1.049 Use inverse interpolation with the natural cubic spline
The two data sets in the table below are dependent random samples. The population of (x−y)(x-y)...
The two data sets in the table below are dependent random samples. The population of (x−y)(x-y) differences is approximately normally distributed. A claim is made that the mean difference (x−y)(x-y) is not equal to -23.5. x 60 62 46 45 37 45 46 46 y 79 77 75 86 83 71 76 77 For each part below, enter only a numeric value in the answer box. For example, do not type "z =" or "t =" before your answers. Round...
The two data sets in the table below are dependent random samples. The population of (x−y)(x-y)...
The two data sets in the table below are dependent random samples. The population of (x−y)(x-y) differences is approximately normally distributed. A claim is made that the mean difference (x−y)(x-y) is greater than 17.9. x 67 79 68 52 56 78 78 78 y 30 50 32 49 31 51 37 35 For each part below, enter only a numeric value in the answer box. For example, do not type "z =" or "t =" before your answers. Round each...
for the quantitative variables x and y are given in the table below. These data are...
for the quantitative variables x and y are given in the table below. These data are plotted in the scatter plot shown next to the table. In the scatter plot, sketch an approximation of the least-squares regression line for the data. x y 7.4 6.6 4.0 5.0 2.0 3.9 3.1 5.0 9.4 8.4 4.7 5.9 6.6 6.2 8.5 6.9 7.9 7.3 1.6 3.7 4.4 4.6 2.8 3.9 2.7 3.1 5.7 6.3 5.9 7.3 9.7 8.3 6.9 6.3 8.8 8.4 x...
Consider the following data on x and y shown in the table below, x 2 4...
Consider the following data on x and y shown in the table below, x 2 4 7 10 12 15 18 20 21 25 y 5 10 12 22 25 27 39 50 47 65 Fit the model E(y)=β0+β1x to the data, and plot the residuals versus x for the model on Minitab. Do you detect any trends? If so, what does the pattern suggest about the model?
Compute the area under y = √x between x = a and x = b where...
Compute the area under y = √x between x = a and x = b where a and b are user specified values obtained via cin. Account for invalid user input cases of a < 0 and a > b. For each case of invalid input, immediately output to the user what the error was. Allow the user a total of three chances to enter valid input for each input request. If the user enters incorrect input three times in...
develop a recursive function to compute LCS (x,y)
develop a recursive function to compute LCS (x,y)
Compute the line integral of the vector field F(x, y, z) = ⟨−y, x, z⟩ along...
Compute the line integral of the vector field F(x, y, z) = ⟨−y, x, z⟩ along the curve which is given by the intersection of the cylinder x 2 + y 2 = 4 and the plane x + y + z = 2 starting from the point (2, 0, 0) and ending at the point (0, 2, 0) with the counterclockwise orientation.
For the differential equation (2 -x^4)y" + (2*x -4)y' + (2*x^2)y=0. Compute the recursion formula for...
For the differential equation (2 -x^4)y" + (2*x -4)y' + (2*x^2)y=0. Compute the recursion formula for the coefficients of the power series solution centered at x(0)=0 and use it to compute the first three nonzero terms of the solution with y(0)= 12 , y'(0) =0
x=61,y=73 compute x+y and x-y in8-bit 2's complement system, then convert the answer to decimal
x=61,y=73 compute x+y and x-y in8-bit 2's complement system, then convert the answer to decimal
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT