the schools guidance department compares the grade - point averages and standardized state test scores for…

the schools guidance department compares the grade - point averages and standardized state test scores for 10 students in each grade. the table below shows the correlation coefficient for each data set.\n| grade level | correlation coefficient |\n| ---- | ---- |\n| 9th grade | 0.3 |\n| 10th grade | -0.1 |\n| 11th grade | 0.2 |\n| 12th grade | -0.8 |\nfor which data set(s) is a linear regression model reasonable?\no 9th grade and 11th grade data sets\no 10th grade data set\no 10th grade and 12th grade data sets\no 12th grade data set

the schools guidance department compares the grade - point averages and standardized state test scores for 10 students in each grade. the table below shows the correlation coefficient for each data set.\n| grade level | correlation coefficient |\n| ---- | ---- |\n| 9th grade | 0.3 |\n| 10th grade | -0.1 |\n| 11th grade | 0.2 |\n| 12th grade | -0.8 |\nfor which data set(s) is a linear regression model reasonable?\no 9th grade and 11th grade data sets\no 10th grade data set\no 10th grade and 12th grade data sets\no 12th grade data set

Answer

Explanation:

Step1: Understand correlation coefficient

A correlation coefficient close to 1 or - 1 indicates a strong linear relationship, and a value close to 0 indicates a weak linear relationship. A linear - regression model is reasonable when there is a relatively strong linear relationship.

Step2: Analyze each grade - level coefficient

For 9th grade, the correlation coefficient $r = 0.3$, which is a weak positive correlation. For 10th grade, $r=-0.1$, which is a very weak negative correlation. For 11th grade, $r = 0.2$, which is a weak positive correlation. For 12th grade, $r=-0.8$, which is a relatively strong negative correlation.

Answer:

12th grade data set