Can you help me with 5 and 6 please no handwriting The cetane number is a critical property in specifying the ignition quality of a fuel used in a diesel engine. Determination ofthis number for a biodiesel fuel is expensive and time-consuming. The article "Relating the Cetane Number of BiodieselFuels to Their Fatty Acid Composition: A Critical Study" (J. of Automobile Engr., 2009: 565–583) included the followingdata on x = iodine value (g) and y = cetane number for a sample of 15 biofuelsThe iodine value (x) is the amount of iodine necessary to saturate a sample of 100 g of oil. The article's authors fit the simplelinear regression model to this data, so let s does the same.132.0 129.0 120.0 113.2 105.0 92.0 84.0 88.4 59.0 80.0 81.0 81.5 71.0 69.2 63.0y46.048.051.0 52.154.0 52.0 59.0 58.7 61.6 64.0 61.4 54.6 58.8 58.051.4Construct a scatter plot for the data. Identify and state which is dependent andindependent variable. What is the purpose of the scatter plot/diagram?2) Fit a simple linear regression line/ equation to your data. Give brief interpret about theregression analysis of the regression equation based on the printout and determine the R 2also explain the coefficient of determination.3) Estimate the correlation coefficient (Pearson coefficient), r, between x and y and explainbriefly the strength of r and its direction and comment the p-value.4) Construct a 95% two-sided confidence interval for the regression line.5) Use the model'equation to predict the value of y using any x value of your choice withinthe given data range, use a value 0 .05. State the confidence limits and prediction limits.6) Test the hypothesis Ho: versus using a = 0.05. Find the P-value for this test and drawconclusion about the usefulness of the regression equation in Q2.7) Using the analysis of variance ANOVA output obtained from the print output calculatethe coefficient of determination of the data and provide an interpretation of this quantity.State the null hypothesis and alternative hypothesis for the above model. Should the null

5) Use the model'equation to predict the value of y using any x value of your choice within the given data range, use a value 0 .05. State the confidence limits and prediction limits. 6) Test the hypothesis Ho versus using a= 0.05. Find the P-value for this test and draw conclusion about the usefulness of the regression equation in Q2.

5) Use the model'equation to predict the value of y using any x value of your choice within the given data range, use a value 0 .05. State the confidence limits and prediction limits. 6) Test the hypothesis Ho versus using a= 0.05. Find the P-value for this test and draw conclusion about the usefulness of the regression equation in Q2.

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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