Using the information below, construct a diagram to show graphically the relationship between the number of exercises attempted and the final mark in a professional examination.
Question 1 (a) Using the information below, construct a diagram to show graphically the relationship between the number of exercises attempted and the final mark in a professional examination. (4) (b) Calculate the coefficient of correlation between the number of exercises attempted and the final mark. Interpret the result, mentioning what the coefficient of determination is and what it represents. (10) [14] Student Number of exercises Final mark (%) 1 10 30 2 33 82 3 15 49 4 20 60 5 18 54 6 32 85 7 30 76 8 5 28 9 16 5
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Using the information below, construct a diagram to show graphically the relationship between the number of exercises attempted and the final mark in a professional examination.
The following data represents the number of days absent and the final grade for a sample...
The following data represents the number of days absent and the final grade for a sample of college students in a general education course at a large state university. 0 1 2 3 4 5 6 7 8 9 No. of absences Final Grade 89.2 86.4 83.5 81.1 78.2 73.9 64.3 71.8 65.5 66.2 a) Which variable is the explanatory variable? b) Draw a scatter plot and describe your scatter plot (Direction, Strength, Form). c) Compute the correlation coefficient d)...
1. The following data represents the number of days absent and the final grade for a...
1. The following data represents the number of days absent and the final grade for a sample of college students in a general education course at a large state university. No. of absences 0 1 2 3 4 5 6 7 8 9 Final Grade 89.2 86.4 83.5 81.1 78.2 73.9 64.3 71.8 65.5 66.2 a) Which variable is the explanatory variable? b) Draw a scatter plot and describe your scatter plot (Direction, Strength, Form). c) Compute the correlation coefficient....
Problem 4: Variables that may affect Grades The data set contains a random sample of STAT 250 Final Exam Scores out of 80 points. For each individual sampled, the time (in hours per week) that the stu...
Problem 4: Variables that may affect Grades The data set contains a random sample of STAT 250 Final Exam Scores out of 80 points. For each individual sampled, the time (in hours per week) that the student spent participating in a GMU club or sport and working for pay outside of GMU was recorded. Values of 0 indicate the students either does not participate in a club or sport or does not work a job for pay. The goal of...
Using the data in the frequency table below compute the correlation coefficient between advertising expenditure and sales. The data represent the number of months in which advertising expenditure was in a particular class AND sales were in a certain range
Using the data in the frequency table below compute the correlation
coefficient between advertising expenditure and sales. The data represent
the number of months in which advertising expenditure was in a particular
class AND sales were in a certain range. (17)
(c) Interpret the result, explaining what the coefficient of determination means
and how it can be used. (2) [20]
Sales (R'000s)
10-19 20-29 30-39 40-49 50-59
100-199 12 3 0 2 0
Ad. expend. 200-299 0 8 3 4...
~~~~~~~~~~~~TO BE COMPLETED USING RSTUDIO~~~~~~~~~~~~~~ ~~~~~~~~~~~~(Please display all RCode used)~~~~~~~~~~~~~~ Regression Is there a relationship between...
~~~~~~~~~~~~TO BE COMPLETED USING RSTUDIO~~~~~~~~~~~~~~ ~~~~~~~~~~~~(Please display all RCode used)~~~~~~~~~~~~~~ Regression Is there a relationship between the number of stories a building has and its height? Some statisticians compiled data on a set of n = 60 buildings reported in the World Almanac. You will use the data set to decide whether height (in feet) can be predicted from the number of stories. (a) Load the data from buildings.txt. (Note that this is a text file, so use the appropriate...
What is the relationship between the amount of time statistics students study per week and their...
What is the relationship between the amount of time statistics students study per week and their test scores? The results of the survey are shown below. Time 13 10 9 9 2 10 12 8 Score 84 83 90 76 74 86 99 85 x-values y-values Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are: H0:H0: ? r ρ μ == 0 H1:H1: ? μ ρ r ≠≠ 0 The p-value is: (Round to...
For the two variables of interest: Create a scatter plot with Percent Time Asleep as the...
For the two variables of interest: Create a scatter plot with Percent Time Asleep as the independent variable x and Longevity as the dependent variable y. The plot must include an informative title, along with correct labels for both axes. Include a plot of the least-squares equation (see #5 below). Calculate the correlation coefficient and the coefficient of determination. Identify any data points on the scatter diagram that appear to be influential. Use Cook's Distance > (4⁄√n) as the criterion...
Exercise 14-27 Algo A social scientist would like to analyze the relationship between educational attainment (in...
Exercise 14-27 Algo A social scientist would like to analyze the relationship between educational attainment (in years of higher education) and annual salary (in $1,000s). He collects data on 20 individuals. A portion of the data is as follows ts Salary 37 Education 6 69 eBook 29 Print I Click here for the Excel Data File References a. Find the sample regression equation for the model: Salary Ao AEducation . (Round answers to 2 decimal places.) Salary Education b. Interpret...
In this exercise, you will investigate the relationship between a worker's age and earnings. (Generally, older...
In this exercise, you will investigate the relationship between a worker's age and earnings. (Generally, older workers have more job experience, leading to higher productivity and earnings.) The following table contains data for full-time, full-years workers, age 25-34, with a high school diploma or B.A./B.S. as their highest degree. Download the data from the table by clicking the download table icon 0 . A detailed description of the variables used in the data set is available here Use a statistical...
A sociologist is interested in the relation between x = number of job changes and γ = annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people emp...
A sociologist is interested in the relation between x = number of job changes and γ = annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information. 9 10 10 3 34 36 32 32 32 3843 37 40 33 5 76 x (number of job changes) Y (Salary in $1000 In this setting we have Σχ = 62, Ху-357, ΣΧ2-462, Xy2-12,875, and ΣΧγ...
The following data represents the number of days absent and the final grade for a sample of college students in a general education course at a large state university. 0 1 2 3 4 5 6 7 8 9 No. of absences Final Grade 89.2 86.4 83.5 81.1 78.2 73.9 64.3 71.8 65.5 66.2 a) Which variable is the explanatory variable? b) Draw a scatter plot and describe your scatter plot (Direction, Strength, Form). c) Compute the correlation coefficient d)...
Exercise 14-27 Algo A social scientist would like to analyze the relationship between educational attainment (in years of higher education) and annual salary (in $1,000s). He collects data on 20 individuals. A portion of the data is as follows ts Salary 37 Education 6 69 eBook 29 Print I Click here for the Excel Data File References a. Find the sample regression equation for the model: Salary Ao AEducation . (Round answers to 2 decimal places.) Salary Education b. Interpret...
In this exercise, you will investigate the relationship between a worker's age and earnings. (Generally, older workers have more job experience, leading to higher productivity and earnings.) The following table contains data for full-time, full-years workers, age 25-34, with a high school diploma or B.A./B.S. as their highest degree. Download the data from the table by clicking the download table icon 0 . A detailed description of the variables used in the data set is available here Use a statistical...
A sociologist is interested in the relation between x = number of job changes and γ = annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information. 9 10 10 3 34 36 32 32 32 3843 37 40 33 5 76 x (number of job changes) Y (Salary in $1000 In this setting we have Σχ = 62, Ху-357, ΣΧ2-462, Xy2-12,875, and ΣΧγ...
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