(4 points)\n2. kiran collects data about the number of trees on property of different schools and the…

(4 points)\n2. kiran collects data about the number of trees on property of different schools and the average standardized test scores for those schools. kiran says, \the scatter plot between the number of trees on a school property and student standardized tests scores shows a strong and positive correlation. an increase in the number of trees on school property causes the students to score better on standardized tests.\\n a. what does having a strong correlation mean for the relationship between the variables in this situation?\n b. what does having a positive correlation mean for the relationship between the variables in this situation?\n c. what is wrong with the last sentence of kirans statement? explain your reasoning.\n

(4 points)\n2. kiran collects data about the number of trees on property of different schools and the average standardized test scores for those schools. kiran says, \the scatter plot between the number of trees on a school property and student standardized tests scores shows a strong and positive correlation. an increase in the number of trees on school property causes the students to score better on standardized tests.\\n a. what does having a strong correlation mean for the relationship between the variables in this situation?\n b. what does having a positive correlation mean for the relationship between the variables in this situation?\n c. what is wrong with the last sentence of kirans statement? explain your reasoning.\n

Answer

Brief Explanations:

a. A strong correlation means that the data points in the scatter - plot are closely clustered around an imaginary line. So, the number of trees and test scores have a relationship that can be approximated well by a line. b. A positive correlation means that as the number of trees on school property increases, the average standardized test scores also tend to increase. c. Correlation does not imply causation. Just because there is a correlation (strong and positive) between the number of trees and test scores does not mean that the number of trees causes the test - score improvement. There could be other confounding variables (e.g., schools with more resources might plant more trees and also have better educational programs that improve test scores).

Answer:

a. The data points are closely clustered around an imaginary line. b. As the number of trees increases, test scores tend to increase. c. Correlation does not imply causation. There could be other factors (confounding variables) affecting the relationship.