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.

Given that X Y X \cdot YX⋅Y X^2X2 Y^2Y2 52 58 3016 2704 3364 68 66 4488 4624 4356…

Answered: Question 12 Which of the following is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question 7 Identify the most likely type of causal relationship between each of the following pairs of variables. Assume that a strong positive correlation has been observed between the two variables, with the first one being the independent variable. DDDD reverse cause and effect accidental relationship presumed relationship cause and effect 1. 2. 3. 4. the number of police officers, the number of crimes the UV index rating, the rate of developing a sunburn without any sunscreen protection on the skin sales of ice cream cones at Cold Stone Creamery, revenue at Wild Waterworks swimming pool at Confederation Park ticket sales for the school play, "Broadway Titans 2" revenue from
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O REGRESSION AND CORRELATION Linear relationship and the sample correlation coefficient Shas Below are four bivariate data sets and the scatter plot for each. (Note that each scatter plot is displayed on the same scale.) Each data set is made up of sample values drawn from a population. y 11 10- 94 S- 1.0 6.7 1.0 7.4 10- 2.0 9.4 2.0 9.1 3.0 4.0 3.0 7.0 4.0 9.1 6+ 4.0 5.3 5- 5.0 4.7 5.0 8.0 4. 3 2- 7.0 6.4 6.0 1.7 6.0 5.1 7.0 | 4.6 8.0 10.1 9.0 5.1 8.0 6.5 9.0 5.7 10.0 3.7 10.0 8.0 | Figure 1 Figure 2 t 1.0 3.2 1.0 1.0 2.0 2.0 2.0 4.2 3.0 3.3 3.0 3.0 4.0 4.9 4.0 4.0 5.0 4.5 5.0 5.0 6.0 6.8 6.0 6.0 7.0 5.8 7.0 7.0 8.0 7.3 8.0 8.0 9.0 6.6 9.0 9.0 10.0 8.2 Figure 3 10.0 10.0 Figure 4 Explanation Check e 2021 McGraw-H Education. All Rights Reserved. Terms of Use I Privacy Accessibilty P Type here to search
Question: Calculate the Pearson's correlation coefficient (r) between two variables, x and y, with the following data: x: [1, 2, 3, 4, 5] y: [2, 4, 6, 8, 10]
QUESTION 7 The owner of Cypres Recordings investigated the relationship between sales (y) and the amount spent on advertising (x). A random sample of 3 Recordings gives the following information. (x1) = 19, (y1) = 15, x2= 18, y2 = 31, x3 = 21, y3=33 Calculate the correlation coefficient? (Round answer to three decimal places ex. 2.091)
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A group of university researchers wanted to determine the relationship that exists between the number of hours spent by a student in social media in a day (X) and their grade weighted average (Y). Twelve randomly selected students produced the following findings: Number of GWA Hours 4.0 95 8.0 85 87 89 91 85 89 86 84 96 82 85 7.0 6.5 5.5 9.0 4.0 10.0 7.5 2.0 12.0 9.0
1. Correlation analysis is used to determine the equation of the regression line b. a specific value of the dependent variable for a given value of the independent variable the strength of the relationship between the dependent and the independent variables d. a. с. None of these alternatives is correct.
Question: What is the interpretation of a Pearson's correlation coefficient value of 0.7 between two variables, X and Y?
What is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below. Time 6 0 14 0 3 2 14 5 Score 64 66 91 65 59 60 86 71 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:`H0: ` == 0`Ha:` ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study.
For the following data: a. Find the regression equation for predicting Y from X. b. Calculate the Pearson correlation for these data. Use r2 and SS_Y to compute SSresidual and the standard error of estimate for the equation. Y 3 3 4 3 7 10 5 9.
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