You run a regression analysis on a bivariate set of data (n = 10). You obtain the regression equationy = 0.493x + 58.349with a correlation coefficient of r = 0.877 (which is significant at a = 0.01). You want to predict what value(on average) for the explanatory variable will give you a value of 100 on the response variable.What is the predicted explanatory value?X =(Report answer accurate to one decimal place.) Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places)Xy14.8618.4417.3218.818.8821.7622.5423.521021.711 22.0812 26.1613 23.1414 25.4215 28.31626.1817 26.6623456|7∞|9O8567

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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ou run a regression analysis on a bivariate set of data (n=20n=20). With ¯x=44.9x¯=44.9 and ¯y=42.7y¯=42.7, you obtain the regression equationy=3.921x+57.242y=3.921x+57.242with a correlation coefficient of r=0.264r=0.264. You want to predict what value (on average) for the response variable will be obtained from a value of 140 as the explanatory variable.What is the predicted response value?y = (Report answer accurate to one decimal place.)
Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression line? About the unexplained variation? r = -0.338 Calculate the coefficient of determination. (Round to three decimal places as needed.) % of the variation can be explained by the regression line (Round to one decimal place as needed.) % of the variation is unexplained and is due to other factors or to sampling error. (Round to one decimal place as needed.)
You run a regression analysis on a bivariate set of data (n=40). With ¯x = 56.7 and ¯y = 45.8, you obtain the regression equation y=−3.352x+45.294 with a correlation coefficient of r= − 0.154. You want to predict what value (on average) for the response variable will be obtained from a value of 70 as the explanatory variable.What is the predicted response value?y^ = (Report answer accurate to one decimal place.)
You run a regression analysis on a bivariate set of data (n = 74). You obtain the regression equation y=1.792x+ −17.683 with a correlation coefficient of r=0.793 (which is significant at α=0.01. You want to predict what value (on average) for the explanatory variable will give you a value of 50 on the response variable. What is the predicted explanatory value? x =
You run a regression analysis on a bivariate set of data (n=109). With x¯=72.2 and y¯=34.7, you obtain the regression equation y= - 0.898x - 42.514 with a correlation coefficient of r=-0.086. You want to predict what value (on average) for the response variable will be obtained from a value of 140 as the explanatory variable. What is the predicted response value? y =
You run a regression analysis on a bivariate set of data (n=28). You obtain the regression equation y=3.542x+23.399 with a correlation coefficient of r=0.877 (which is significant at α=0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 10 on the response variable.What is the predicted explanatory value?x = (Report answer accurate to one decimal place.)
You run a regression analysis on a bivariate set of data (n = 22). With ☎ = 22.3 and y = 58.5, you obtain the regression equation y = 0.842x + 37.664 with a correlation coefficient of r = 0.897. You want to predict what value (on average) for the response variable will be obtained from a value of 180 as the explanatory variable. What is the predicted response value? y = (Report answer accurate to one decimal place.)
You run a regression analysis on a bivariate set of data (n = 120). With i = 66.3 and y = 50.6, you obtain the regression equation y = 4.097x – 11.636 with a correlation coefficient of r = 0.56. You want to predict what value (on average) for the response variable will be obtained from a value of 120 as the explanatory variable. What is the predicted response value? y = (Report answer accurate to one decimal place.)
You run a regression analysis and obtain the regression equation y 3.176x +124.355 with a correlation coefficient of r = - 0.748. You want to predict what value (on average) for the response variable will be obtained from a value of x = 150 as the explanatory variable. What is the predicted response value? y = (Report answer accurate to one decimal place.)
You run a regression analysis on a bivariate set of data (n = 89). With a = 35.4 and y = 53.5, you obtain the regression equation %3D y = 3.651x – 38.171 0.1. You want to predict what value (on average) for the %3D - with a correlation coefficient of r = response variable will be obtained from a value of 110 as the explanatory variable. What is the predicted response value? y%3D
You run a regression analysis on a bivariate set of data (n=15). You obtain the regression equationy=2.339x+22.015 with a correlation coefficient of r=0.886 (which is significant at α=0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 150 on the response variable.What is the predicted explanatory value?x = (Report answer accurate to one decimal place.)
You run a regression analysis on a bivariate set of data (n=105). With x=77.7 and y=42.3, you obtain the regression equation y=2.959x−1.146 with a correlation coefficient of r=0.093. You want to predict what value (on average) for the response variable will be obtained from a value of 190 as the explanatory variable.What is the predicted response value?y = (Report answer accurate to one decimal place.)

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