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Question 1 The following dataset is the midterm and final exam marks of students. Midterm Final 81 94 79 86 85 83 87 70 90 79 61 72 71 77 78 82 80 96 89 100 Table 1: Midterm and Final exam marks a) Calculate the sample mean and sample variance of Midterm and Final marks and sample covariance between them. Show your R commands and output. b) Now assume that final course grade is calculate by 0.3 x Midterm+0.7 x Final. Find the sample mean and sample variance of the final course grade using the part (a). c) Generate side-by-side boxplots for midterm and final exam marks using R. Compare midterm and final using the plot.

Question 1 The following dataset is the midterm and final exam marks of students. Midterm Final 81 94 79 86 85 83 87 70 90 79 61 72 71 77 78 82 80 96 89 100 Table 1: Midterm and Final exam marks a) Calculate the sample mean and sample variance of Midterm and Final marks and sample covariance between them. Show your R commands and output. b) Now assume that final course grade is calculate by 0.3 x Midterm+0.7 x Final. Find the sample mean and sample variance of the final course grade using the part (a). c) Generate side-by-side boxplots for midterm and final exam marks using R. Compare midterm and final using the plot.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...
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Question 1 The following dataset is the midterm and final exam marks of students. Midterm Final 81 94 79 86 85 83 87 70 90 79 61 72 71 77 78 82 80 96 89 100 Table 1: Midterm and Final exam marks a) Calculate the sample mean and sample variance of Midterm and Final marks and sample covariance between them. Show your R commands and output. b) Now assume that final course grade is calculate by 0.3 x Midterm +0.7 × Final. Find the sample mean and sample variance of the final course grade using the part (a). c) Generate side-by-side boxplots for midterm and final exam marks using R. Compare midterm and final using the plot.
Transcribed Image Text:Question 1 The following dataset is the midterm and final exam marks of students. Midterm Final 81 94 79 86 85 83 87 70 90 79 61 72 71 77 78 82 80 96 89 100 Table 1: Midterm and Final exam marks a) Calculate the sample mean and sample variance of Midterm and Final marks and sample covariance between them. Show your R commands and output. b) Now assume that final course grade is calculate by 0.3 x Midterm +0.7 × Final. Find the sample mean and sample variance of the final course grade using the part (a). c) Generate side-by-side boxplots for midterm and final exam marks using R. Compare midterm and final using the plot.
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