Given a correlation coefficient (r) of 0.7216, mean of x-bar =
140.5, standard deviation of x (sx) = 6.4, mean of y-bar
= 128.3, and standard deviation of y (sy) = 8.2. Find
the slope of the regression line. Find the y-intercept of the line.
Write the equation of the line.
Given a correlation coefficient (r) of 0.7216, mean of x-bar = 140.5, standard deviation of x...
If the slope of regression line is b1 = 0.1, standard deviation of x = 24 and correlation coefficient r= 0.8, what will be the value of standard deviation of y? 6342
Given that the correlation between X and Y is 0.84 Mean and standard deviation of X = 4.3 and 3.8 Mean and the standard deviation of Y = 2.7 and 5.6 Find the y-intercept for the line of best fit.
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...
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...
Suppose that you run a correlation and find the correlation coefficient is 0.206 and the regression equation is ˆ y = − 33.96 + 7.6 x . The mean for the x data values was 6.6, and the mean for the y data values was 16. A T Test for the slope of the regression line is performed, and the p-value is greater than the level of significance of 0.05. Use the appropriate method to predict the y value when...
Consider the following information about variable X: Mean = 4, standard deviation = 2. Consider the following information about variable Y: Mean = 5, standard deviation = 3. If there is a correlation of r = 0.52 between variable X and variable Y, what is the intercept for a simple linear regression equation predicting Y on the basis of X? Please provide your answer as a raw score (not a z score) with a minimum of two decimal places.
Information for Questions 10 - 11: Although U.S. citizens value the freedoms and rights of democracy, they often do not vote. Data on x: the number of U.S. citizens eligible to vote (in millions) and y: the number of U.S. citizens who actually did vote (also in millions) in all the Presidential Elections since 1964 entered into MINITAB The following statistics were calculated: x-bar = 173.3 sx= 41.3 y-bar = 95.1 sy = 20.8 r = .958 Create the regression...
4. Heights of Presidents and Runners-Up data set: determine correlation coefficient r, determine of the correlation is significant. Winner 69.5 73 73 74 74.5 74.5 71 71 a correlation coefficient r = Runner-up 72 69.5 70 68 74 74 73 76 b. significant (yes or no)? 5. Casino Size and Revenue data set: determine correlation coefficient r, determine if the correlation is significant Size 160 227 140 144 161 147 141 a. correlation coefficient Revenue 189 157 140 127 123...
9. An experiment was performed on a certain metal to determine if the strength is a function of heating time (hours). Results based on 20 metal sheets are given below. Use the simple linear regression model. ∑X = 40 ∑X2 = 200 ∑Y = 80 ∑Y2 = 1120 ∑XY = 388 Find the estimated y intercept and slope. Write the equation of the least squares regression line and explain the coefficients. Estimate Y when X is equal to 5 hours....
we have a bivariate data set and compute the following: r=.7, sy=9, sx=5, x-bar=13.5, y=51.6. We want to know the equation of the least-squares regression line, but we don't have a calculator. Determine the equation of the least-squares regression line from the given data. a. y=46.34+.39x b. y=-51.52+1.26x c. y=34.59+1.26x d. y=-6.624+.39x e. you can't compute the regression line without knowing the original data.