Question

OH NO!!! Madeleine’s data has been corrupted, again! Using the incomplete data file below, which she was able to recover from her hard drive, can you help finish her analysis? She needs to calculate:

(note: you DO NOT need to fill in all the missing data. You only need to calculate the statistics listed below)

A) N

B) The mean of set X

C) The mean of set Y

D) SSx

E) Σ(X) × Σ(Y)

F) SSxy

G) √ ( SSx × SSy)

H) r

I ) b (slope)

J ) a (intercept)

Answer 1

a. N=25

b. X[bar]= 60.52

c. Y[bar]= 106.72

d. SSx= 115.24

e. ∑X*∑Y = 4036684

f. SSxy= 202020.3296

g. √(SSx*SSy)= 449.46

Explanation:

Hello!

Using the attached data you need to calculate some statistics.

a) N

The sample size is listed under the first column "subject" You can see that 25 subjects qhere studied so N=25.

b.

The mean of set X is equal to X[bar]= ∑X/n= 1513/25= 60.52

∑X is listed in the second table.

c.

The mean of ser Y is Y[bar]= ∑Y/n= 2668/25= 106.72

∑Y is listed in the second table.

d.

Sum of Squares of set X SSx= ∑X²-[(∑X)²/n]= 91682-[(1513)²/25]= 115.24

e.

∑X*∑Y =1513*2668= 4036684

f.

SSxy= (∑X²-[(∑X)²/n]) * (∑Y²-[(∑Y)²/n])= (91682-[(1513)²/25]) * (286482*[(2668)²/25])= 202020.3296

g.

√(SSx*SSy)= √(115.24*1753)= 449.46

I hope you have a SUPER day!