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

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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