17. How did you make the determination in Question #16?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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JUST QUESTION 17 PLEASE

Here are some formulas to help:
'-ΣΧΣΥ
Σχ)
(ΣΥ
SP
SP = E XY
SS =Ex² –
SSy = Ey².
r =
N
SSx SSy
n
n
Use this set of data to answer questions #1 - #17. You are conducting a correlational study.
Participant
Y
XY
X2
Y2
A
2
4
В
1
3
C
3
D
6.
6
E
4
2
F
4
2
2
1. What is your null hypothesis? (in statistical notation)
2. What is your null hypothesis? (in words)
3. What is your alternative hypothesis? (in statistical notation)
4. What is your alternative hypothesis? (in words)
5. How many participants are in your study?
6. What is the value of Sum of Products (SP)? (SHOW YOUR WORK)
7. What is the value of SSx? (SHOW YOUR WORK)
8. What is the value of SSy? (SHOW YOUR WORK)
9. Calculate the Pearson Correlation Coefficient (r): (SHOWW YOUR WORK)
10. Sketch a scatterplot for these data:
|
11. How many degrees of freedom (df) are in this study?
12. If
you are doing a two-tailed test and alpha = .05, find the critical value of r from the table:
13. What is your decision regarding the null hypothesis? Reject or Fail to Reject
14. How did you make the determination in Question #13?
15. Is there a significant correlational relationship between X and Y?
Yes or No
16. If the Pearson Correlation Coefficient that you calculated in #9 remains the same,
had 4 more participants (n = 11), what would your decision be? Reject or Fail to Reject
but
you
17. How did you make the determination in Question #16?
Transcribed Image Text:Here are some formulas to help: '-ΣΧΣΥ Σχ) (ΣΥ SP SP = E XY SS =Ex² – SSy = Ey². r = N SSx SSy n n Use this set of data to answer questions #1 - #17. You are conducting a correlational study. Participant Y XY X2 Y2 A 2 4 В 1 3 C 3 D 6. 6 E 4 2 F 4 2 2 1. What is your null hypothesis? (in statistical notation) 2. What is your null hypothesis? (in words) 3. What is your alternative hypothesis? (in statistical notation) 4. What is your alternative hypothesis? (in words) 5. How many participants are in your study? 6. What is the value of Sum of Products (SP)? (SHOW YOUR WORK) 7. What is the value of SSx? (SHOW YOUR WORK) 8. What is the value of SSy? (SHOW YOUR WORK) 9. Calculate the Pearson Correlation Coefficient (r): (SHOWW YOUR WORK) 10. Sketch a scatterplot for these data: | 11. How many degrees of freedom (df) are in this study? 12. If you are doing a two-tailed test and alpha = .05, find the critical value of r from the table: 13. What is your decision regarding the null hypothesis? Reject or Fail to Reject 14. How did you make the determination in Question #13? 15. Is there a significant correlational relationship between X and Y? Yes or No 16. If the Pearson Correlation Coefficient that you calculated in #9 remains the same, had 4 more participants (n = 11), what would your decision be? Reject or Fail to Reject but you 17. How did you make the determination in Question #16?
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