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step by step would be great. This is all the given information. . 2, A spacecher wanted to determine whether there was a linear relation

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step by step would be great. This is all the given information.

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2, A space"cher wanted to determine whether there was a linear relation among wind chill temperature. aid temperature and wind speed The following data show the wind skill temperature, air temperature (c. "F) and wind speed (in mph) for various days. Air Temp |Wind Speed | Wind Chill 15 20 - 4 -11 20 -22 10 -22 25 -31 -10 15 -10 20 -35 15 20 -14 15 35 -43 15 -52 -22 15 -16 The researcher wants to fit a model for predicting the wind chill temperature with air temp and wind speed Es two explanatory variables. Givea below is an output on the regression analysis. (s) Write the equation of the regression model. (4) Write the equation of the fitted regression Ine after catierating the cue lictents. (c) Interpret the values of the coefficients. (d) Perform a test of overall fit. Write the hypotheses clesely, Write the reduced model, all value of necessary sum of squares, the test statistic. critical calte and ?-value. What is your conclusion about usefulness of the model for prediction purposes. (e) Construct plot of residuals wasus each predictor and comment if you find any paturn. (f) Construct a normal probability plot of the residuals ard corimeat en assumption of normally. (2+2-2-6-2+2-1512. A researcher wanted to determine whether there was a linear relation among wind chill temperature, air temperature and wind speed. The following data show the wind chill temperature, air temperature (in F) and wind speed (in mph) for various days. Air Temp | Wind Speed Wind Chill 15 10 15 15 15 25 -4 0 5 -11 0 20 -22 -5 10 -22 -5 25 -31 -10 15 -32 -10 20 -35 -15 25 -44 -15 35 -48 -15 50 -52 40 -22 45 -16 The researcher wants to fit a model for predicting the wind chill temperature with air temp and wind speed as two explanatory variables. Given below is an output on the regression analysis. (a) Write the equation of the regression model. (b) Write the equation of the fitted regression line after estimating the coefficients. (c) Interpret the values of the coefficients. (d) Perform a test of overall fit. Write the hypotheses clearly. Write the reduced model, all values of necessary sum of squares, the test statistic, critical value and P-value. What is your conclusion about usefulness of the model for prediction purposes. (e) Construct plot of residuals versus each predictor and comment if you find any pattern. (f) Construct a normal probability plot of the residuals and comment on assumption of normality. (2+ 2+2+5+2+2=15)

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