2.) Students in QMB 3600-Quantitative Methods in Business course decided to research the relationshipbetween the Mid Term Exam, the average number of study hours spent per week during the semester and thefinal course grade for a given student. A sample of containing data from a previous semester was provided by theinstructor and summarized in the following table:Student #Mid-Term ExamAverage Number ofFinal Course GradeGradestudy hours per week50.02.065.0260.04.085.055.03.578.0485.06.090.055.05.070.072.04.589.0775.06.591.08.45.03.065.09.88.05.589.01090.07.596.0T Develop a linear regression model, where Y is the Final Grade Course and X is the Mid-Term Exam.a)Calculate the coefficient of determination (r²), the coefficient of correlation (r), the variance (o) for the modeland apply Hypothesis Testing to test the significance of the linear model for a 0.05 exactly as demonstrated inthe Triple A Construction Example on page 121 of your textbook. Show all your calculations and follow the sameguidance provided in Problem #1.Plot a scatter diagram for the data used in topic (a) and plot the linear regression model as well. Followb)the same guidance provided in Problem #1.Develop a linear regression model, where Y is the Final Grade Course and X is the Average Number ofc)Study Hours per week. Calculate the coefficient of determination (r), the coefficient of correlation (r), the variance(o*) for the model and apply Hypothesis Testing to test the significance of the linear model for a = 0.05 exactly asdemonstrated in the Triple A Construction Example on page 121 of your textbook. Show all your calculations andfollow the same guidance provided in Problem #1.d)Plot a scatter diagram for the data used in topic (c) and plot the linear regression model as well. Followthe same guidance provided in Problem #1.e)Based on the coefficient of determination (r') for each linear regression models developed, which ofthe two linear regression models should be used to predict the Final Grade in QMB 3600 and explain your decision. 1.An air conditioning company located in Central Florida collected data for the number of airconditioning units sold in the Central Florida area and for the outside temperature on the day that sales tookplace. The Sales Manager put the following table together:Outside TemperatureSales(Degrees F)(Number of air conditioning units sold)68727878112841586168922911893199426a)calculated in topic (b). Consider that:Y: number of air conditioning units soldX: outside temperature (degrees F)Guidance: graph should look like the one presented in Figure 4.2 of textbooklot a scatter diagram for the data provided on the table above and the linear regression linePerform the linear regression calculation and provide the linear regression equation that describesb)the relationship between Y (number of air conditioning units sold) and X (outside temperature in degreesFahrenheit.Guidance: follow the steps presented on Table 4.2 of textbookCalculate SST, SSE and SSR for this linear regressionc)Guidance: follow the steps presented on Table 4.3 of textbookd)Calculate the coefficient of determination (r?) and the coefficient of correlation (r).) Using the linear regression equation that you developed in topic (b), calculate the estimated sales fora day that will reach 84 degrees F and for a day that will reach 94 F and for both temperature levels calculate theerror "e" when comparing the estimated value against the actual data provided. At which of the twotemperatures, is your model more accurate? Explain.

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Students in QMB 3600 – Quantitative Methods in Business course decided to research the relationship between the Mid Term Exam, the average number of study hours spent per week during the semester and the final course grade for a given student. A sample of containing data from a previous semester was provided by the instructor and summarized in the following table: Student # Mid-Term Exam Average Number of study hours per week 2.0 Final Course Grade Grade 1 50.0 65.0 60.0 4.0 85.0 55.0 3.5 78.0 85.0 6.0 90.0 55.0 5.0 700 234n