Run a regression analysis on the following bivariate set of data with y as the response variable.Xy33.434.656.394.645.371.870.5133.853.5 81.520.43348.474.271.9 108.844.848.182.571.156.3107.9Find the correlation coefficient and report it accurate to three decimal places.What proportion of the variation in y can be explained by the variation in the values of x? Report answer asa percentage accurate to one decimal place. (If the answer is 0.84471, then it would be 84.5%...you wouldenter 84.5 without the percent symbol.)r² =86Based on the data, calculate the regression line (each value to three decimal places)y =45.361X +Predict what value (on average) for the response variable will be obtained from a value of 53.3 as theexplanatory variable. Use a significance level of a = 0.05 to assess the strength of the linear correlation.Ounction HalniWhat is the predicted response value? (Report answer accurate to one decimal place.)y =O Dort to fanim

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Answered: a regression analysis on the following…

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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Run a regression analysis on the following bivariate set of data with y as the response variable. x y 58.3 81.3 77.7 48.5 49.3 67.2 68.5 58.9 46.4 93.1 65.5 75.8 48.9 90.5 65.2 66.9 63.2 79.4 56.5 89.3 65.6 75.5 40.4 96.2 Find the correlation coefficient and report it accurate to three decimal places. r = What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place. (If the answer is 0.84471, then it would be 84.5%...you would enter 84.5 without the percent symbol.)r² = %Based on the data, calculate the regression line (each value to three decimal places)y = x + Predict what value (on average) for the response variable will be obtained from a value of 77.8 as the explanatory variable. Use a significance level of α=0.05 to assess the strength of the linear correlation.What is the predicted response value? (Report answer accurate to one decimal place.)y =
Caffeine (mg) Sleep (hours) 60 8 0 8 220 5.5 100 7 80 6.5 For caffeine intake, the mean is 92 and the standard deviation is 80.75. For sleep, the mean is 7 and the standard deviation is 1.06. Calculate the linear correlation coefficient r by hand for this set of paired data values using r=(z_x-z_y)/(n-1). Show your work. Is the value of r statistically significant? Use Pearson's r table to justify your answer. Does the value for r and the statistical significance indicate a positive linear correlation, a negative linear correlation, or no linear correlation between the variables caffeine intake and hours of sleep? What does this mean in context?
Run a regression analysis on the following bivariate set of data with y as the response variable. X y 9.4 24.2 36.9 66.5 42.6 140.4 -16 -26.1 27.4 52 27.5 71.9 24.8 66.8 21 41.2 33.1 2.4 23.9 34.4 69.2 34.3 71.9 66 Find the correlation coefficient and report it accurate to three decimal places. r = What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place. (If the answer is 0.84471, then it would be 84.5%...you would enter 84.5 without the percent symbol.) r² = % Based on the data, calculate the regression line (each value to three decimal places) y = X + Predict what value (on average) for the response variable will be obtained from a value of -13.4 as the explanatory variable. Use a significance level of a = 0.05 to assess the strength of the linear correlation. What is the predicted response value? (Report answer accurate to one decimal place.) y =
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Run a regression analysis on the following bivariate set of data with y as the response variable. y 62.8 75.2 60 70.4 59.8 63 59.3 68.5 59 70.3 52.4 50.8 63.4 61.9 70.3 68.1 65.6 69.3 56.8 60.9 67.5 77.5 55.5 57.2 Find the correlation coefficient and report it accurate to three decimal places. What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place. (If the answer is 0.84471, then it would be 84.5%...you would enter 84.5 without the percent symbol.) r2 = Based on the data, calculate the regression line (each value to three decimal places) y = Predict what value (on average) for the response variable will be obtained from a value of 52.5 as the explanatory variable. Use a significance level of a = 0.05 to assess the strength of the linear correlation. What is the predicted response value? (Report answer accurate to one decimal place.) y = Submit Question IO 01 100 O Details
Could you plese go step by step explaining these answers please
Here is a bivariate data set. x y 36 52 25 52.7 29.5 51.3 21.4 54.7 28 51.2 26.8 50.9 22 53.3 33.7 50.4 26.1 53.8 23.1 53.5 Find the correlation coefficient and report it accurate to three decimal places.r = What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place.R² = %
Run a regression analysis on the following bivariate set of data with y as the response variable. X 109.4 69.8 90 87.5 64.1 59.6 63.1 92.2 74.7 61.5 83.3 80.3 58.9. 57.3 73 y 61.4 51.6 38.6. 83.7 71.5 69.5 35.4 79.9 40.5 Find the correlation coefficient and report it accurate to three decimal places. r= Based on the data, calculate the regression line (each value to three decimal places) y' = X +
Here is a bivariate data set. x y 61.6 77.9 86.4 55.6 75.6 62.4 60.1 69.2 76.4 60.4 74 60.1 59.7 66.7 Find the correlation coefficient and report it accurate to three decimal places.r = __?__ What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place.R² = __?__%
Run a regression analysis on the following bivariate set of data with y as the response variable. x y 57.9 -34.4 16.6 92 40.1 89 55.8 54.5 57.9 27.4 17.3 164.1 65.2 62.4 48.3 51.9 66.2 14.5 70.9 -39.2 57 -90.1 58.5 63 Find the correlation coefficient and report it accurate to three decimal places.r = What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place. (If the answer is 0.84471, then it would be 84.5%...you would enter 84.5 without the percent symbol.)r² = %
Annual high temperatures in a certain location have been tracked for several years. Let X represent the year and Ý the high temperature. Based on the data shown below, calculate the correlation coefficient (to three decimal places) between X and Y. Use your calculator! y 3 24.31 4 21.82 22.63 6 22.54 7 21.35 8. 20.06 6. 18.47 10 18.98 11 18.29 12 16.3
Here is a bivariate data set. X y 69 73.4 69.1 64.9 67.9 69.3 81.3 65.1 66.1 71.1 65.5 70.3 51.9 85.9 35 70.8 53.2 66.6 Find the correlation coefficient and report it accurate to three decimal places. r = What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place. R2 =

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