High School

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Match the linear correlation coefficient to the scatter diagram. The scales on the x- and y-axis are the same for each scatter diagram.

A. [tex]r = -0.992[/tex]
B. [tex]r = -1[/tex]
C. [tex]r = -0.049[/tex]

1. Scatter diagram A
2. Scatter diagram B
3. Scatter diagram C

Answer :

Final answer:

The linear correlation coefficient (r) signifies the strength and direction of the relationship between two variables. Values of r near -1, +1, and 0 correspond to strong negative, strong positive, and negligible correlations, respectively. For given r values of -1, -0.992, and -0.049, the corresponding scatter diagrams would illustrate strong negative, nearly perfect negative, and almost zero correlation, respectively.

Explanation:

The subject of this question pertains to the matching of the linear correlation coefficient (r) to the appropriate scatter diagram. The linear correlation coefficient is a statistical measure that calculates the strength of the linear relationship between two variables, represented by the x and y axes on a scatter plot.

Ranging between -1 to +1, it tells us about both the strength and direction of the relationship. A value close to -1 signifies a strong negative correlation, a value close to +1 indicates a strong positive correlation, and a value near zero implies no correlation.

In this specific case, the scatter diagram corresponding to r=-1 demonstrates a strong negative correlation where y decreases as x increases. Scatter diagram for r=-0.992 would show a nearly perfect negative linear relationship while r=-0.049 would visualise an almost negligible correlation between the variables.

Learn more about Linear Correlation Coefficient here:

https://brainly.com/question/8444448

#SPJ11