a-botanist-records-the-amount-of-fertilizer-in-grams-used-and-the-resulting-heig

Question

A botanist records the amount of fertilizer in grams used and the resulting height in centimeters of tomato plants after two months. The data and the corresponding scatterplot are as follows:

Scatterplot showing tomato plant height vs. fertilizer amount, indicating a positive linear relationship.

Calculate the value of the linear correlation coefficient $r$ and determine the critical values of $r$ at a significance level of $alpha equals 0.05$ . Is there enough evidence to support a claim that there is a linear correlation between the amount of fertilizer and plant height?

Accepted Answer

$r almost equals 0.989$

Critical values: $r = \pm 0.707$

There is sufficient evidence to support the claim that there is a linear correlation between the amount of fertilizer and plant height.

Answer

$r almost equals 0.989$

Critical values: $r = \pm 0.811$

There is insufficient evidence to support the claim that there is a linear correlation between the amount of fertilizer and plant height.

Answer

$r almost equals 0.989$

Critical values: $r = \pm 0.707$

There is sufficient evidence to support the claim that there is a linear correlation between the amount of fertilizer and plant height.

Answer

$r almost equals 0.989$

Critical values: $r = \pm 0.707$

There is insufficient evidence to support the claim that there is a linear correlation between the amount of fertilizer and plant height.