You want to know if a parent’s ERQ influences an individuals ERQ. 2) Compute X-b
ID: 3061102 • Letter: Y
Question
You want to know if a parent’s ERQ influences an individuals ERQ.
2) Compute X-bar, Y-bar, Sx, Sy, and the Median for X and Y. (10-pts)
Wow you say to yourself, my two friends really are 'out there', and begin to wonder why. Then you realize that your friend's parents are pretty much the same way, and you begin to suspect that there could be a genetic basis for emotional reactivity. As a first step you decide to give the questionnaire to your friends mothers. The mother of your first friend scores a 42 and the mother of your second friend scores a -45 Holy cow you say to yourself, maybe there is a relationship between an individual's ERQ and their parent's ERQ! So you go out and find 10 people at random and convince them and their parents to take the ERQ questionnaire these are the data you find Self ER 1 Parent ER Person # 2 4 12 24 15 -12 -25 13 19 9 -14 4 8 -12 14 12 10Explanation / Answer
Let, Parent ERQ = X
Self ERQ = Y
X bar = sum of observations of X / total number of observations = 36/10 = 3.6
Y bar = sum of observations of Y / total number of observations = 47/10 =4.7
Sx = standard deviation of X
= sqrt (variance of X)
for X:
108.16
sum of (data-mean)2 = 1378.4
variance = sum of (data-mean)2 / 9
= 153.1556
Sx = sqrt (153.1556) = 12.3756
For Y:
sum of (data - mean ) 2 = 1968.1
Sy = sqrt [ 1968.1 / 9 ] = 14.7878
Median :
For X:
Ordering the data from least to greatest, we get: -14 -12 -5 -2 1 4 9 14 19 22
we have a pair of middle numbers.
Median =(1+4) / 2 = 5/2 = 2.5
For Y:
Ordering the data from least to greatest, we get: -25 -12 -7 7 8 12 12 13 15 24
Median = (8+12)/2 = 10
data data-mean (data - mean)2 1 -2.6 6.76 22 18.4 338.56 19 15.4 237.16 9 5.4 29.16 -14 -17.6 309.76 -5 -8.6 73.96 4 0.4 0.16 -2 -5.6 31.36 -12 -15.6 243.36 14 10.4108.16
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