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Height/Arm Span Relationship

APSTAT-ULNKVY

​Scientists wish to determine if there is a positive linear relationship between height and arm span.

Which of the following would give us evidence of a positive relationship between these variables in a sample of $40$ random subjects?

A

The correlation coefficient being close to $-1$.

B

The p-value in a linear regression T-test being close to $0$ when testing

$H_o : B = 0$
$H_a: B > 0$

C

A residual plot that shows the data points haphazardly scattered.

D

A slope in the LSRL close to $1$.

E

A scatterplot without any influential points or outliers.