If the assumptions for correlation are met, data indicated a correlation of 0.914 between the length...

If the assumptions for correlation are met, data indicated a correlation of 0.914 between the length of a gator and and weight of a gator. Which one of the statements is false?

a. If we convert the units from feet to meters for length of the gators, the correlation will remain unchanged.

b. The longer a gator is, causes a gator to weigh more.

c. As the length of a gator increases, its weight will increase, in general.

d. The scatter plot will have a linear appearance where the points on the scatter plot are tightly clustered together around a line with a positive direction.

Solutions

Expert Solution

Correlation is a statistical approach of explaining the relationship between the two variables concerning the direction as well the strength.

It is given that correlation between the length of a gator and weight of a gator is 0.914.

(a). Correlation refers to be a unitless statistical measure, so if we convert units from feet to meters then the correlation value will remain unchanged. Hence, the option a is correct.

(b). Correlation does not implies causation so, it cannot be said that longer a gator is, causes a gator to weigh more. Hence, the option b is incorrect.

(c). The correlation value is 0.914 which is positive so it can be said that when the length of a gator increases,then its weight will increase, in general. Hence, the option c is correct.

(d). Since the all the assumptions of correlation met and the correlation value is positive, so it can be said that scatter plot will have a linear appearance where the points on the scatter plot are tightly clustered together around a line with a positive direction. Hence, the option d is correct.

Therefore, the false statement is b. The longer a gator is, causes a gator to weigh more.

orchestra answered 1 year ago

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