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if you know 1 of the 2 variable values, how confident can you be predicting the value of the second variable
high correlation → confident; moderate → more uncertainty; weak→ low to none
whats a good way to estimate correlation strength
ask how comfortable you are making an assumption between the 2 variables
for correlations can we say the relationsjip has an effect or not?
no only if its significant → cannont establish causal relationship as it doesnt mean causation
how would we expressive our results
using was/wasn’t a significant relationsip betwee….
what does the r mean in:
there was not a significant relationship between studying time and exam enjoyment, r(89) = .68, p= .59
symbol for pearson correlation coefficient, tells this is a correlational analysis
what does the 89 mean in:
there was not a significant relationship between studying time and exam enjoyment, r(89) = .68, p= .59
degrees of freedom, # of (x,y) data pairs in study minus 1
what does the .68 mean in:
there was not a significant relationship between studying time and exam enjoyment, r(89) = .68, p= .59
value of correlation coefficient, test statistic
what does the ,59 mean in:
there was not a significant relationship between studying time and exam enjoyment, r(89) = .68, p= .59
likehood of gettng a correlation this strong if null were true
do we talk about effect sizes in correlations
no the strenght is a good way to talk instead
what is r2 in a correlation
acts as the “effect size” measure; % of change in variable 1 tha can be accounted for by change in v2
what about Confidence intervals
the same → no 0 in range =reject the null and are confident in the estimate of correlation, 0 in range = fail to reject and not confident