Q1 A study reported by an electric engineering student considered the effect of X-ray inspection of integrated circuits. The radiation dose were studied as a function of current (in milliamps) and exposure time ( in minutes). The data are shown below. S.N 1 2 3 4 5 6 Current 10 10 10 10 15 15 15 20 20 20 7 8 9 10 Radiation dose 7.4 14.8 28.6 59.2 88.8 11.1 14.8 22.2 29.6 59.2 A: Simple Linear regression model between radiation dose and exposure time. Exposure time 0.25 0.5 1 2 3 10 15 0.5 1 2 a. Compute the correlation coefficient between radiation dose and exposure time. b. Find the equation of regression line between radiation doses on exposure time using least square method. c. Draw the scatter diagram between radiation dose and exposure time. d. Show the best fitted line on scatter diagram. e. Find the predicted value for each y using the exposure time and the equation obtained in part b. f. Find the residual value. B: Multiple Linear regression model between the response variable radiation dose and independent variables current and exposure time g. Estimate the regression coefficients of multiple linear regression model using matrix approach. h. Estimate the regression coefficients of multiple linear regression model using Rstudio. i. Interpret each regression coefficients. j. Use the multiple regression model to find the predicted value of radiation dose. k. Find the residual value.
Q1 A study reported by an electric engineering student considered the effect of X-ray inspection of integrated circuits. The radiation dose were studied as a function of current (in milliamps) and exposure time ( in minutes). The data are shown below. S.N 1 2 3 4 5 6 Current 10 10 10 10 15 15 15 20 20 20 7 8 9 10 Radiation dose 7.4 14.8 28.6 59.2 88.8 11.1 14.8 22.2 29.6 59.2 A: Simple Linear regression model between radiation dose and exposure time. Exposure time 0.25 0.5 1 2 3 10 15 0.5 1 2 a. Compute the correlation coefficient between radiation dose and exposure time. b. Find the equation of regression line between radiation doses on exposure time using least square method. c. Draw the scatter diagram between radiation dose and exposure time. d. Show the best fitted line on scatter diagram. e. Find the predicted value for each y using the exposure time and the equation obtained in part b. f. Find the residual value. B: Multiple Linear regression model between the response variable radiation dose and independent variables current and exposure time g. Estimate the regression coefficients of multiple linear regression model using matrix approach. h. Estimate the regression coefficients of multiple linear regression model using Rstudio. i. Interpret each regression coefficients. j. Use the multiple regression model to find the predicted value of radiation dose. k. Find the residual value.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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