Which of these is not true of the correlation $r$between the lengths in inches and weights in pounds of a sample of brook trout?

(a) $r$must take a value between $-1$and $1$

(b) $r$is measured in inches.

(c) if longer trout tend to also be heavier, then $r>0$

(d) $r$would not change if we measured the lengths of the trout in centimeters instead of inches.

(e) $r$would not change if we measured the weights of the trout in kilograms instead of pounds

(a) The value of r must be between $-1$and$1$

(b) $r$ stands for inches.

(c) If bigger trout are also bigger, then $r>0$

(d) $r$would remain unchanged if the trout were measured in millimeters rather than inches. If we measured the weights of the trout in kilograms instead of pounds, nothing would change.

A regression line is a straight line that depicts the relationship between an explanatory variable $x$ and a response variable $y$ By entering any value of $x$ into the equation of the line, you may use a regression line to anticipate the value of $y$ for any value of $x$

The correlation coefficient$r$ is a constant that is independent of measurement units. As a result, "$r$ is measured in inches" is incorrect. Option (b) $r$ is therefore measured in inches.