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Question 3What type of model would you use if you wanted to find the relationship between a set of variables?1 pointClassification modelClustering modelRegression

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Question 3What type of model would you use if you wanted to find the relationship between a set of variables?1 pointClassification modelClustering modelRegression

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Solution

You would use a Regression model if you wanted to find the relationship between a set of variables. This type of model is used in statistics to estimate the relationships among variables. It includes many techniques for modeling and analyzing several variables when the focus is on the relationship between a dependent variable and one or more independent variables.

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Say we want a model that will help explain the relationship between a student's exam grade and their attendance. Below are two defined variables, a regression equation and two example data points.Variables:Grd = Exam grade in %Abs = Number of absences during semesterRegression Equation:Grd^ = 85.3 - 5.4*AbsTwo example data points (observations):A student that was absent 5 times and got 70% on the examA student that was absent 9 times and got 42% on the exam(a) Find the predicted value of exam grade (Grd^) for the student that was absent 5 times to 1 decimal place.Predicted exam grade for the student that was absent 5 times = Answer 1 Question 5 % (1dp)(b) The student observation above, that was absent 9 times and got 42% on the exam, would have a predicted exam grade of 36.7%. What is the residual for this observation to 1 decimal place?Residual for student that was absent 9 times = Answer 2 Question 5% (1dp)(c) Interpret the slope in context. Answer 3 Question 5(d) Interpret the intercept in context. Answer 4 Question 5.(e) Is the interpretation of the intercept meaningful in context? Answer 5 Question 5

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