7.5 Practice Analysis (Assessing the Fit of a Line) For this practice project you will build on your work for Project 5 and 6. Research question: Predict the English and math proficiency of a school with an economic need index of 900 . Is economic need a better predictor of English proficiency or math proficiency? Fitted line Fitted line English_Proficiency Math_Proficiency 3.5 3.5 2.5 2.5 2 20 40 60 80 100 60 100 Economic_Need_Index 20 40 Economic_Need_Index y = English Proficiency y = Math Proficiency x= economic need index x= economic need index D = 3.49 - 0.0141 x D = 3.82 - 0.0161x r = -0.80 = -0.73 r = 0.64 2 = 0.54 Se = 0.22 Se = 0.31 Assignment Requirements Checklist: > Identify the explanatory and response variables. Describe the form, direction and strength of the relationship between the variables. Identify any potential outliers. > Discuss and compare the correlation coefficients, r. Use the regression equations to interpret the rate of changes (slope) and if applicable, the initial values (y-intercept) in the context of this data. Use the regression equations to find prediction intervals for the school described above. Show your calculations. Comment on the accuracy of the prediction using both r2 and Se (and a residual if possible.) need index )