Faulkner University Scatterplots to Check the Assumption of Linearity Project

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qbzvavpx2005

Business Finance

Faulkner University

Description

1.Include an APA title block with your name, class title, date, and the assignment number.

  • Include a table of contents and a reference section. Number your pages in the footer along with the date. Include a header starting on page 2 with the Course and assignment number.
  • Write the problem number and the problem title as a level one heading (Example ‐ A.1.1: Chapter 2, Problem 2.1, Check the Completed Questionnaires) and then provide yourresponse.
  • Use level two headings with short titles for multi part questions (Example ‐ A1.1.a, Short Title, A1.1.b, Short Title II, etc.)
  • Use appropriate level headings for key elements of your discussion such as Research Questions, Hypotheses, Descriptive Statistics, Assumptions & Conditions, Interpretation, Results, and others. Your goal is to make your analysis easy to follow and logical.
  • Ensure that all tables and graphs are legible and include a figure number.
  • Carefully review your document prior to submission for formatting, flow, and readability. Keep in mind that running the statistical tests is only the first half of the challenge; you must be able to clearly communicate your findings to the reader!
  • . Cut and paste your outputs directly into your document and refer to them in your interpretation.
  • At least 3 references for each assignments

Assignment 6

A6.1: Chapter 9, Problem 9.1, Scatterplots to Check the Assumption of Linearity. Write a short narrative of your process and interpretation of your findings. , Cut and paste the Scatterplots with Regression Lines from Output 9.1a and 9.1b directly into your document and refer to them in your interpretation.

A6.2: Chapter 9, Problem 9.2, Bivariate Pearson and Spearman Correlations. Write a short narrative of your process, an interpretation of your findings, and write your results. Cut and paste the Descriptive Statistics, Correlations, and Nonparametric Correlations tables directly into your document and refer to them in your interpretation.

A6.3: Chapter 9, Problem 9.3, Correlation Matrix for Several Variables. Write a short narrative of your process, an interpretation of your findings, and write your results to include tables. Cut and paste the Descriptive Statistics and Correlations tables directly into your document and refer to them in your interpretation.

A6.4: Chapter 9, Problem 9.4, Bivariate or Simple Linear Regression. Write a short narrative of your process, an interpretation of your findings, and write your results. Cut and paste the Model Summary, Variables Entered/Removed, ANOVA, and Coefficients tables directly into your document and refer to them in your interpretation.

A6.5: Chapter 9, Problem 9.5, Multiple Regression. Write a short narrative of your process, an interpretation of your findings, and write your results to include tables. Cut and paste the Descriptive Statistics, Correlations, Variables Entered/Removed, Model Summary, ANOVA, and Coefficients tables directly into your document and refer to them in your interpretation.

A6.6, Application Problem ‐ Correlation and Regression. Using the “college student data.sav” file, do the following problems. Write a short narrative of your process, an interpretation of your findings, and write your results to include tables. Cut and paste your outputs directly into your document and refer to them in your interpretation.

  • Write a research question and a null hypothesis exploring the relationship between student’s height and parent’s height. Conduct a correlation analysis to test the relationship including a scatterplot. Include Descriptive Statistics, Correlations, and Nonparametric Correlations tables and refer to them in your interpretation. Prior to running the analysis, discuss how the data meets the assumptions and conditions for the tests you are going to conduct. Support your assertion with the appropriate descriptive statistics.
  • Write a research questions and a null hypothesis exploring the relationship between student gender, parent’s height, and student’s height to see if student’s height can be predicted. Before beginning the

test, recode gender (1 = male, 2 = female) to “Male” (1 = male, 0 = not male).

Explain why recoding gender “Male” was necessary to run this test. Conduct a regression analysis to test the relationship. Include Descriptive Statistics, Correlations, Variables Entered/Removed, Model Summary, ANOVA, and Coefficients tables and refer to them in your interpretation. Prior to running the analysis, discuss how the data meets the assumptions and conditions for the tests you are going to conduct. Support your assertion with the appropriate descriptive statistics.

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Explanation & Answer

Attached.

Running Head: QUANTITATIVE RESEARCH METHODS

Quantitative Research Methods
Student Name
Institutional Affiliation
Instructor
Course Title
Date

1

QUANTITATIVE RESEARCH METHODS

2

A6.1, Problem 9.1 Application Problem ‐ Scatterplots to Check the Assumption of
Linearity
The variables exhibit linearity among them
They are normally distributed
They are also ordinal.
Hypothesis
H0: There is no significant relationship between the student’s height and the same-sex parent’s
height
H1: There is a significant relationship between the student’s height and the same-sex parent’s
height
Descriptive Statistics
Mean
Std. Deviation

N

student height in inches

67.3000

3.93959

50

same-sex parent's height

66.7800

5.10418

50

Correlations
student height
same-sex
in inches
parent's height
Pearson Correlation
Sig. (1-tailed)

student height in inches

1.000

.842

same-sex parent's height

.842

1.000

.

.000

.000

.

student height in inches

50

50

same-sex parent's height

50

50

student height in inches
same-sex parent's height

N

QUANTITATIVE RESEARCH METHODS

3

ANOVAa

Sum of
Model
Squares
df
Mean Square
1
Regression
538.735
1
538.735
Residual
221.765
48
4.620
Total
760.500
49
a. Dependent Variable: student height in inches
b. Predictors: (Constant), same-sex parent's height

Interpretation of the results

F
116.607

Sig.
.000b

QUANTITATIVE RESEARCH METHODS

4

Based on the significance of 0.000, at 95% confidence level, there is a positive
relationship between the student’s heights and the same-sex parent’s heights. The scatter plot
shows a strong positive correlation with a correlation coefficient of 0.708. On the other side,
since the ANOVA table displays a significance of 0.000 which is less than 0.05, we reject the
null hypothesis and conclude that indeed, there exists a relationship between the student’s
heights and same-sex parent’s height. From the scatter plot above, as the heights of same-sex
parents increases, student heights consequently increase with the same strength. Consequently,
the Pearson correlation coefficient above is +1 meaning that the relationship is positively perfect.
70.8% of the variation is explained within the model due to the results from a regression line
(Brook & Arnold, 2018).
A6.2: Chapter 9, Problem 9.2, Bivariate Pearson, and Spearman Correlations.
Research question
Does the amount of TV watched per week affect the student’s study hours per week?
It was easy to choose between the two variables since they are scalded and normally distributed,
thus, testing for their correlation is easy.
Descriptive Statistics
Mean
Std. Deviation

N

hours of study per week

15.62

8.310

50

amount of tv watched per
week

11.98

6.096

50

QUANTITATIVE RESEARCH METHODS

5

Correlations
hours of study
per week
Pearson Correlation

Sig. (1-tailed)

hours of study per week

1.000

-.316

amount of tv watched per
week

-.316

1.000

.

.013

.013

.

hours of study per week

50

50

amount of tv wa...


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