This
question asks for correlation between the outcome (Y=dental hygiene) and the
input (X=$$) one, two,
three and four years
after expenditure. The initial 14 years' data yields 13 complete pairs
(N = 13, 11 df) for
the first calculation,
and loses one year for each successive calculation.
(a) Y with X-1 r=0.13, r2=0.017,
11 df, t= 0.435 P>.05 ns
(b) Y with X-2 r=0.81, r2=0.656, 10 df,
t= 4.368 P<.002 hs **
(c) Y with X-3 r=0.61, r2=0.372, 9
df, t= 2.309 P<.05 ss
(d) Y with X-4 r=0.13, r2=0.017,
8 df t= 0.526
P>.05 ns
(f) The greatest
association between X and Y occurs at year 2, then declines with yrs 3 and
4.