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?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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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.
Variable 1 vs Variable 2
Part A
-3
-2
Variable 1
Variable 1 vs Variable 2
Part B
-3
Variable 1
Variable 1 vs Variable 2
Part C
Variable 1
-1.5 -1.0 -0.5 0.0 0.5
0 1.5
Transcribed Image Text:Variable 1 vs Variable 2 Part A -3 -2 Variable 1 Variable 1 vs Variable 2 Part B -3 Variable 1 Variable 1 vs Variable 2 Part C Variable 1 -1.5 -1.0 -0.5 0.0 0.5 0 1.5
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