Question

Being the civic-minded student that you are, you've become involved in a few volunteer positions in the local community. After working with these organizations for a year you become interested in the relationship between civic volunteering and life satisfaction, as your co-volunteers seem depressed. You think that volunteering with civic organizations may decrease a person's life satisfaction. You survey five of your friends on how many hours they spend volunteering in the past week and then record their life satisfaction scores that you obtain from a standardized survey that is assumed to have equal intervals throughout the scale. You obtain the following data from your participants Subject ID Hours Volunteering Life Satisfaction |60 1 5 70 2 4 80 3 3 75 2 90 1 LO LO Relationship between hours spent volunteering and life satisfaction 100 80 60 40 20 2 3 Hours Volunteering List each assumption for pearson's r calculation and state why you think it is met or not met with your current design and data. Life satisfaction

Answer 1

Values Y Values 60 80 75 90 XValues (X-M)2 (Y-My)2 X- Mx (X-MY-M,) 30.000 Y-My 4.000 225.000 .000 -15.000 -5.000 5.000 1.000 1.000 25.000 -5,000 0.000 0.000 0.000 25.000 0.000 1.000 0.000 0.000 -1.000 4.000 225.000 -2.000 15.000 -30.000 Sum: 500.000 Sum -65.000 Mx: 3.000 My: 75.000 Sum: 10.000 Result Details & Calculation Key X: X Values X Values Σ- 15 Y Values Mean 3 My Mean of X Values X- M2 = SS = 10 M Mean of Y Values X-Mx &Y-My Deviation scores Y Values (X-Mx2& (Y-My: Deviation Squared (X-MxY-My: Product of Deviation Scores Σ= 375 Mean 75 Y-My)2 = SSy= 500 Xand Y Combined N 5 Z(X-M(Y-My)= -65 R Calculation r (X-M,)Y-M)/ v((SSSS) r -65/((10)(500)) -0.9192 Meta Numerics (cross-check) r-0.9192 L

It met with your current design and data