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?
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If the slope of regression line is b1 = 0.1, standard deviation of x = 24 and correlation coefficient r= 0.8
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.
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...
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...
A simple linear regression of Y on X reveals that the slope b is 3; the standard deviation of X is 2; and the standard deviation of Y is 8. What is the correlation coefficient between X and Y? Show steps.
If the slope of the estimated regression line is positive, the correlation coefficient must be negative. True False
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...
True or false?: 1) If X and Y are standardized, then fit a linear regression line of standardized Y on standardized X, correlation between X and Y equals the slope of regression line. 2) If one calculates r for a set of numbers and then adds a constant to each value of one of the variables, the correlation will change. 3) The easiest way to determine if a relationship is linear is to calculate the regression line. 4) If the...
In a simple regression model, the slope (b1) represents predicted value of Y when X = 0. change in estimated Y per unit change in X. predicted value of Y. variation around the sample regression line.
True or false: 1) If X and Y are standardized, then fit a linear regression line of standardized Y on standardized X, correlation between X and Y equals the slope of regression line. 2) If one calculates r for a set of numbers and then adds a constant to each value of one of the variables, the correlation will change. 3) The easiest way to determine if a relationship is linear is to calculate the regression line. 4) If the...
Linear Regression and Prediction perform a linear regression to determine the line-of-best fit. Use weight as your x (independent) variable and braking distance as your y (response) variable. Use four (4) places after the decimal in your answer. Sample size, n: 21 Degrees of freedom: 19 Correlation Results: Correlation coeff, r: 0.3513217 Critical r: ±0.4328579 P-value (two-tailed): 0.11837 Regression Results: Y= b0 + b1x: Y Intercept, b0: 125.308 Slope, b1: 0.0031873 Total Variation: 458.9524 Explained Variation: 56.6471 Unexplained Variation: 402.3053...