Which variable pair (in part a or b or c) has a stronger association according to the comparison of the correlations and which variable pair has a stronger association according to the comparison of the p-values? Does the comparisons according to correlation coefficients and p-values agree on which variable pair indicate the same stronger association? If not, why is there such a discrepancy? Which gene pair (in part a or b or c) has a stronger association do you think according to the scatter plots?Part A:Pearson correlation of rb: 0.380875P-value of pb: 0.0000Significance level: α = 0.05So, there is statistically significant association at α = 0.5 between the genes.Also, since the p-value is less than 0.05, the null hypothesis is rejected.Furthermore, the magnitude and direction are that of a positive correlation between the provided genes.Part B: Pearson correlation of rb: 0.380875P-value of pb: 0.0000Significance level: α = 0.05So, there is statistically significant association at α = 0.5 between the genes.Also, since the p-value is less than 0.05, the null hypothesis is rejected.Furthermore, the magnitude and direction are that of a positive correlation between the provided genes.Part C: Pearson correlation of rb: 0.9312196P-value of pb: 2.2e-16Significance level: α = 0.05So, there is significant association at α = 0.5 between the provided genes.Also, since the p-value is greater than 0.05, the null hypothesis is rejected.Furthermore, the magnitude (0.9312) and direction are that of a positive correlation between the genes. ### Scatter Plot AnalysisThis section presents three distinct scatter plots illustrating the relationship between two variables across different scenarios. Each plot is labeled for reference.#### Part A- **Graph Description**: The scatter plot displays the relationship between Variable 1 (x-axis) and Variable 2 (y-axis).- **Plot Characteristics**: The data points are widely dispersed, forming a roughly circular cloud centered around the origin. This distribution suggests no clear linear relationship between the two variables.#### Part B- **Graph Description**: This scatter plot shows Variable 1 on the x-axis and Variable 2 on the y-axis.- **Plot Characteristics**: The data points create a distinct 'V' shape. As Variable 1 moves away from zero in either direction, Variable 2 tends to increase. This pattern indicates a potential non-linear relationship.#### Part C- **Graph Description**: In this scatter plot, Variable 1 is on the x-axis and Variable 2 on the y-axis.- **Plot Characteristics**: The data points form a clear upward-sloping line. This linear pattern suggests a strong positive correlation between the variables: as Variable 1 increases, Variable 2 tends to increase as well.These plots illustrate how different data distributions can depict varying types of relationships between variables, highlighting the importance of visual data analysis in discerning patterns and trends.

Given information: The scatterplots and correlation coefficients are given.

Answered: Which variable pair (in part a or b or…

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

Which variable pair (in part a or b or c) has a stronger association according to the comparison of the correlations and which variable pair has a stronger association according to the
comparison of the p-values? Does the comparisons according to correlation coefficients and p-values
agree on which variable pair indicate the same stronger association? If not, why is there such a discrepancy? Which gene pair (in part a or b or c) has a stronger association do you think according to
the scatter plots?

Part A:

Pearson correlation of rb: 0.380875
P-value of pb: 0.0000
Significance level: α = 0.05
So, there is statistically significant association at α = 0.5 between the genes.
Also, since the p-value is less than 0.05, the null hypothesis is rejected.
Furthermore, the magnitude and direction are that of a positive correlation between the provided genes.

Part B:

Pearson correlation of rb: 0.380875
P-value of pb: 0.0000
Significance level: α = 0.05
So, there is statistically significant association at α = 0.5 between the genes.
Also, since the p-value is less than 0.05, the null hypothesis is rejected.
Furthermore, the magnitude and direction are that of a positive correlation between the provided genes.

Part C:

Pearson correlation of rb: 0.9312196
P-value of pb: 2.2e-16
Significance level: α = 0.05
So, there is significant association at α = 0.5 between the provided genes.
Also, since the p-value is greater than 0.05, the null hypothesis is rejected.
Furthermore, the magnitude (0.9312) and direction are that of a positive correlation between the genes.