the table shows the relationship between students gpa and their achievement motivation. if the outlier is…

the table shows the relationship between students gpa and their achievement motivation. if the outlier is removed from the data, what conclusion best describes the correlation between gpa and achievement motivation?\na there is a strong, negative, linear relationship between gpa and achievement motivation.\nb there is a moderate, negative, linear relationship between gpa and achievement motivation.\nc there is a moderate, positive, linear relationship between gpa and achievement motivation.\nd there is a strong, positive, linear relationship between gpa and achievement motivation.

the table shows the relationship between students gpa and their achievement motivation. if the outlier is removed from the data, what conclusion best describes the correlation between gpa and achievement motivation?\na there is a strong, negative, linear relationship between gpa and achievement motivation.\nb there is a moderate, negative, linear relationship between gpa and achievement motivation.\nc there is a moderate, positive, linear relationship between gpa and achievement motivation.\nd there is a strong, positive, linear relationship between gpa and achievement motivation.

Answer

Answer:

D. There is a strong, positive, linear relationship between GPA and achievement motivation.

Explanation:

Step1: Identify the outlier

The out - lier is Mary with GPA = 2.0 and motivation = 100 as it is far from other data points with GPA = 2.0.

Step2: Analyze the remaining data

After removing Mary, as GPA increases, motivation generally increases. For example, from Deana (GPA = 2.3, motivation = 34) to Tammie (GPA = 4.0, motivation = 98).

Step3: Determine the correlation type

The data points seem to follow a linear pattern and the increase in one variable (GPA) is associated with an increase in the other (motivation), indicating a positive linear relationship. Also, the points are relatively close to a potential line of best - fit, suggesting a strong relationship.