Use the information provided below to answer questions 12 to 15.As part of the end-of-semester review of the marks obtained by third-year students in business statistics, the academicmanager of Frontier Business School has captured the marks obtained by 10 randomly selected third-year students intheir formative and summative assessments as shown below in Table 3.Student #Formative assessmentSummative assessmentQuestion 12A y = 25.707 +0.9887xBy= 29.796 +0.5897xC y = 25.707 +0.5897xD y = 29.796 +0.9887x15258Question 1326866A 0.5897B 0.8459C 0.7155D 0.988739181Determine the Pearson Correlation Coefficient.474705647464652Table 3: Marks obtained by 10 students in the formative and summative assessmentsThe academic manager wants to determine whether students' performance (i.e., marks) in the formative assessment is areliable predictor of students' performance (i.e., marks) in the summative assessment.7566985770Which of the following is the equation of the relationship between the predictor variable (x) and the response variable(y)?98383106260 Question 14Using the simple linear regression equation, predict the marks obtained by a randomly selected third-year student in thebusiness statistics summative assessment if the said student obtained a mark of 51 in the business statistics formativeassessment.A 56B 60C 63D 54Question 15The relationship between the independent variable (IV) and the dependent variable (DV) is likely to be mediated by athird variable (MV). With regard to the statement above, which of the following is most likely to be correct?A IV = Students' performance (i.e., marks) in the formative assessment; DV = Students' performance (i.e., marks) inthe summative assessment, and MV = Students' level of comfort with the venue of the assessments.B IV = Students' performance (i.e., marks) in the summative assessment; DV = Students' performance (i.e., marks) inthe formative assessment, and MV = Students' level of preparation for the assessments.C IV = Students' performance (i.e., marks) in the formative assessment; DV = Students' performance (i.e., marks) inthe summative assessment, and MV = Students' level of preparation for the assessments.D IV = Students' performance (i.e., marks) in the summative assessment; DV = Students' performance (i.e., marks) inthe formative assessment, and MV = Students' level of comfort with the venue of the assessments.

Question

Accepted Answer

Given that

X
Y
X \cdot YX⋅Y

X^2X2

Y^2Y2

52
58
3016
2704
3364

68
66
4488
4624
4356…