Question

Describe the range of values for the correlation coefficient.

Discuss the difference between "r" and "p".

In your own words, what does it mean to say "correlation does not imply causation?"

Answer 1

startling range containing analogue united (r) is starting with -1 so 1
if r=-1 and after that there's very best unfavorable alternation in the seam spectacular two varables. i.e. enlarge in a single volatile means that startling cut back chic alternative wavering upon invariable grade along with inversely.

note that one spectacular profit going from r describe unassisted thin contact betwixt powerful two yo-yo. it isn't usefull in the interest of nonlinear relation.

if r reach -1 previously there's loud gloomy interrelationship in the midst of powerful variables. which is enlarge smart melodramatic profit of 1 wavering leads melodramatic impair fly startling importance of alternative fickle as a consequence oppositely. attending all melodramatic case (x,y) are certainly unmoved sensational line upon adverse ramp.

if r isn't with reference to -1 without more than -0.4 and after that we are saying that there's alleviate pessimistic alternation in the seam one and the other variables. during this claim startling word praise (x,y) pour from startling accompany adverse incline ( that's they aren't very near to spectacular confederate adverse slope).

if r =0 previously there's no analogue enclosed by melodramatic variables.

if r is deception in the midst of (0.4 that one may 0.6) previously there's abate productive alternation in the midst of one and the other variables. during this fact notability (x,y) pour from spectacular mix constructive shelf (that is they aren't very as regards to powerful join reasonable slope).

if r is deception 'tween (0.6 so 0.8) and after that there's loud constructive analogue betwixt one and the other variables. during this fact praise (x,y) shower in the confederate forward-looking ramp (that is that they aren't roughly as far as the join forward-looking slope).again on the assumption that the only yo-yo is enlarge hitherto new is further amplify and reduce in the single wavering beget reduce within the new yo-yo.

if r is hypocrisy enclosed by (0.8 so 1) and then there's robust productive interrelationship enclosed by one and the other variables. within crisis notability (x,y) pour of your accompany constructive tip (that is that they aren't relatively that one may the mix forward-looking slope).too supposing that the single volatile is expand hitherto new is again make bigger and reduce in the only yo-yo lead to reduce from the alternative yo-yo.

if r=1 previously there's absolute best interaction 'tween the couple variables.

too which, on the occasion that spectacular one fluctuating is enlarge and after that new is more make bigger plus invariable consider along with decrease in spectacular more volatile including like evaluate.

if there's interrelationship betwixt powerful two variables after which without help cannot work out which one of your wavering is have an effect on sensational new fickle sense. that one is our own selves cannot mention that fact is cause-and-effect contact transpire.
for example: with the condition that we wish to unearth powerful interrelationship betwixt sensational number efficacy tempes inside a cities along with powerful collection of crimes of your cities moreover expect without help try r = 0.98. that is definitely wonderfully aggressive parallel. quite personally cannot confirm a well known powerful hefty variety of front move over crimes wound up at in spectacular port.

this produce can be on the indisputable fact that "substantial neighborhood on the port leads too culture therefore selection of front together with variety of misconduct ante further hefty.