Given : A research study was conducted to examine the differences between older and younger adults on perceived life satisfaction. A pilot study was conducted to examine this hypothesis. Ten older adults (over the age of 70) and ten younger adults (between 20 and 30) were given a life satisfaction test (known to have high reliability and validity). Data Analysis results were shown below, tested at alpha level of 0.05 Older Adults Younger Adults Mean 44.5 28.1 Variance 75.39 72.99 Observations 10 10 Df 18 t Stat 4.26 P(T<=t) one-tail 0.00 t Critical one-tail 1.73 P(T<=t) two-tail 0.00 t Critical two-tail 2.10 State at least five (5) conclusions from the table above. _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ What relationship exists between the two variables? Student Midterm (x) Finals (y) x2 y2 xy 1 75 80 5625 6400 6000 2 70 75 4900 5625 5250 3 65 65 4225 4225 4225 4 90 95 8100 9025 8550 5 85 90 7225 8100 7650 6 85 85 7225 7225 7225 7 80 90 6400 8100 7200 8 70 75 4900 5625 5250 9 65 70 4225 4900 4550 10 90 90 8100 8100 8100 Σx=775 Σy=815 Σx2 = 60925 Σy2 = 67325 Σxy = 64000 What is the appropriate statistical test to use? ________________________ What is the computed r value? ____________ Conclusion/Interpretation: ________________________________________________ _________________________________________________________________________ If 0 < r < 0.25 = weak correlation. If 0.25 ≤ r < 0.75 = moderate correlation. If 0.75 ≤ r < 1 = strong correlation. If r = l = perfect correlation.
Given : A research study was conducted to examine the differences between older and younger adults on perceived life satisfaction. A pilot study was conducted to examine this hypothesis. Ten older adults (over the age of 70) and ten younger adults (between 20 and 30) were given a life satisfaction test (known to have high reliability and validity). Data Analysis results were shown below, tested at alpha level of 0.05 Older Adults Younger Adults Mean 44.5 28.1 Variance 75.39 72.99 Observations 10 10 Df 18 t Stat 4.26 P(T<=t) one-tail 0.00 t Critical one-tail 1.73 P(T<=t) two-tail 0.00 t Critical two-tail 2.10 State at least five (5) conclusions from the table above. _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ What relationship exists between the two variables? Student Midterm (x) Finals (y) x2 y2 xy 1 75 80 5625 6400 6000 2 70 75 4900 5625 5250 3 65 65 4225 4225 4225 4 90 95 8100 9025 8550 5 85 90 7225 8100 7650 6 85 85 7225 7225 7225 7 80 90 6400 8100 7200 8 70 75 4900 5625 5250 9 65 70 4225 4900 4550 10 90 90 8100 8100 8100 Σx=775 Σy=815 Σx2 = 60925 Σy2 = 67325 Σxy = 64000 What is the appropriate statistical test to use? ________________________ What is the computed r value? ____________ Conclusion/Interpretation: ________________________________________________ _________________________________________________________________________ If 0 < r < 0.25 = weak correlation. If 0.25 ≤ r < 0.75 = moderate correlation. If 0.75 ≤ r < 1 = strong correlation. If r = l = perfect correlation.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
Related questions
Question
- Given : A research study was conducted to examine the differences between older and younger adults on perceived life satisfaction. A pilot study was conducted to examine this hypothesis. Ten older adults (over the age of 70) and ten younger adults (between 20 and 30) were given a life satisfaction test (known to have high reliability and validity).
Data Analysis results were shown below, tested at alpha level of 0.05
|
Older Adults |
Younger Adults |
Mean |
44.5 |
28.1 |
Variance |
75.39 |
72.99 |
Observations |
10 |
10 |
Df |
18 |
|
t Stat |
4.26 |
|
P(T<=t) one-tail |
0.00 |
|
t Critical one-tail |
1.73 |
|
P(T<=t) two-tail |
0.00 |
|
t Critical two-tail |
2.10 |
|
State at least five (5) conclusions from the table above.
- _______________________________________________________________________
- _______________________________________________________________________
- _______________________________________________________________________
- _______________________________________________________________________
- _______________________________________________________________________
- What relationship exists between the two variables?
Student |
Midterm (x) |
Finals (y) |
x2 |
y2 |
xy |
1 |
75 |
80 |
5625 |
6400 |
6000 |
2 |
70 |
75 |
4900 |
5625 |
5250 |
3 |
65 |
65 |
4225 |
4225 |
4225 |
4 |
90 |
95 |
8100 |
9025 |
8550 |
5 |
85 |
90 |
7225 |
8100 |
7650 |
6 |
85 |
85 |
7225 |
7225 |
7225 |
7 |
80 |
90 |
6400 |
8100 |
7200 |
8 |
70 |
75 |
4900 |
5625 |
5250 |
9 |
65 |
70 |
4225 |
4900 |
4550 |
10 |
90 |
90 |
8100 |
8100 |
8100 |
|
Σx=775 |
Σy=815 |
Σx2 = 60925 |
Σy2 = 67325 |
Σxy = 64000 |
- What is the appropriate statistical test to use? ________________________
- What is the computed r value? ____________
- Conclusion/Interpretation: ________________________________________________
_________________________________________________________________________
- If 0 < r < 0.25 = weak
correlation . - If 0.25 ≤ r < 0.75 = moderate correlation.
- If 0.75 ≤ r < 1 = strong correlation.
- If r = l = perfect correlation.
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