A researcher wanted to examine if soil type had any effects on the heights of daylilies. Ten bulbs of daylilies were planted in each of the three different types of soil. The thickness of the soil X) was also measured for each pot. After three months, the heights of the plants
Y) were measured. Below are the group means of the study.

-If the correlation between X and Y is 0.5 for soil type 1, 0.1 for soil type 2, and ?0.5 for soil type 3, it seems likely that
A) the assumption of normality is violated.
B) the assumption of homogeneity of variance is violated.
C) the assumption of linearity is violated.
D) the assumption of homogeneity of slopes is violated.
E) there is no indication of assumption violation.

Question

A researcher wanted to examine if soil type had any effects on the heights of daylilies. Ten bulbs of daylilies were planted in each of the three different types of soil. The thickness of the soil  X) was also measured for each pot. After three months, the heights of the plants
 Y) were measured. Below are the group means of the study.

-If the correlation between X and Y is 0.5 for soil type 1, 0.1 for soil type 2, and ?0.5 for soil type 3, it seems likely that
A) the assumption of normality is violated. 
B) the assumption of homogeneity of variance is violated. 
C) the assumption of linearity is violated. 
D) the assumption of homogeneity of slopes is violated. 
E) there is no indication of assumption violation.

Quizplus · Accepted Answer

The regression slopes will be different for different soil types.)

A Researcher Wanted to Examine If Soil Type Had Any