Question

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 of the table above labeled z, and z, (These are the sample standard scores.) (b) To complete the last column of the table, multiply each z, by the corresponding 2y. Then add the values in this column to get 2, Zy (c) Finally, divide the result of part (b) by n-1= 6-1 = 5 to find the linear correlation coefficient, r. 2. Now calculate the slope and y-intercept of the least squares regression line, and write the equation of this line. (Show your calculations to earn the extra points.) (a) The slope is b;=r. (b) The y-intercept is by = 9 - byť = (c) Write the equation of the regression line: 9 = b;x+b =

Answer 1

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za E 2-20 - G-y ny ŭ - m Zat 2 y -3.0 - 1.5 da sorbs 2 al noon 4.5 aat 4.5 4.5 -0.5 -0.5 - 0.5 Till -0.75 -0.75 -4.5 x=4, 3=2, 9 = 5, y = 1 9 linear cooo. coff=y= 4.5 = 0.9 a) bi = g. Jy z 37 = 09*5 = -0.45 3) bon ý - bih 5-10.45)* 4 () the reg dussion line 9 = b, a+bo=-0.45x+b. 8 =-0-457+ 68 Scanned with CamScanne