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...
Some X, Y data are positively correlated with r = .70. Also: bar x = 10 bar y = 7 sx = 2 sy = 4 a. Find the equation for the regression line. b. Predict Y if X = 9 c. Find the coefficient of determination.
The mean and standard deviation for number of battery crimes in the U.S. from 1985 to 2000 are x̄ = 326,845 and sx = 27,569. The mean and standard deviation for number of property crimes in the U.S. for the same time period are ȳ = 634,235 and sy = 42,268. The correlation coefficient is r = 0.92. Find the equation for the least-squares regression line for number of property crimes compared with number of battery crimes. ŷ = 1.41...
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...
An alternate expression for the slope coefficient of the simple linear regression model is B1= r(Sy/Sx) where r is the Pearson correlation coefficient given by r= Sxy/ (√(SxxSyy) and Sy and Sx are the sample standard deviations of y and x, respectively. Use the data to show that this alternate formulation gives a slope coefficient that is numerically equivalent to what you found using the Least-squares estimations demonstrating that r(Sy/Sx) = Sxy/Sxx. Using the information given, find B0 and B1...
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...
Suppose that you are given the following results. Find the correlation coefficient of the data. sx = 2.391, sy = 13.200, b = -4.780 a) 0.155 b) -0.866 c) -0.433 d) -0.155 e) 0.866 f) None of the above Suppose you find that the correlation coefficient for a set of data is 0.841. What is the coefficient of determination and what does it mean? a) 0.841; This means that 84.1% of the variation of y is explained by the LSRL...
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.