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Q1 [20] An engineering student wants to study the impact of temperature and humidity on yield. The following data was recorded by the student. Yield S.N Temperature Humidity 1 40 57 2 45 54 112 118 3 50 54 128 4 55 121 60 66 5 60 126 136 6 65 59 61 7 70 144 00 8 75 142 9 80 58 59 56 149 10 85 165 A: Simple Linear regression model between yield and temperature. a) Compute the correlation coefficient between yield and temperature. b) Find the equation of regression line between yields on temperature using least square method. c) Draw the scatter diagram between yield and temperature. d) Show the best fitted line on scatter diagram. e) What percentage of the variable yield can be explained by the variable temperature? f) Estimate the yield when the temperature is 35F. g) Find the predicted value for each y using the temperature value and the equation obtained in part b. h) Find the residual value. i) Using Rstudio, check the assumption of the model obtained in part b. B: Multiple Linear regression model between the response variable yield and independent variables temperature and humidity j) Estimate the regression coefficients of multiple linear regression model using matrix approach. k) Estimate the regression coefficients of multiple linear regression model using Rstudio. 1) Interpret each regression coefficients. m) Use the multiple regression model and find the predicted value for each y. n) Find the residual value.