which answer is the best estimate of the correlation coefficient for the variables in the scatter…

which answer is the best estimate of the correlation coefficient for the variables in the scatter plot?\n-0.95\n-0.5\n0.5\n0.95

which answer is the best estimate of the correlation coefficient for the variables in the scatter plot?\n-0.95\n-0.5\n0.5\n0.95

Answer

Explanation:

Step1: Observe scatter - plot pattern

The points in the scatter - plot show no clear linear trend. When there is no linear relationship between variables, the correlation coefficient is close to 0.

Step2: Analyze options

  • A correlation coefficient of - 0.95 indicates a strong negative linear relationship.
  • A correlation coefficient of - 0.5 indicates a moderate negative linear relationship.
  • A correlation coefficient of 0.5 indicates a moderate positive linear relationship.
  • A correlation coefficient of 0.95 indicates a strong positive linear relationship. Since there is no linear trend in the scatter - plot, the best estimate is close to 0. Among the given options, 0.5 and - 0.5 show some linear relationship and - 0.95 and 0.95 show strong linear relationships. So, the closest to the actual situation (no linear trend) is 0, but among the given options, the value closest to 0 is 0.5.

Answer:

0.5