What would you guess the value of the correlation coefficient to be for the pair of variables: "number of man-hours worked" and "number of units of work completed"?
a) approximately 0.9
b) approximately 0.4
c) approximately 0.0
d) approximately -0.4
e) approximately -0.9
Here's a hint to help you choose an answer.
You can probably assume there is a strong correlation between number of man hours worked and number of units of work completed. The longer one works, the more work gets done (hopefully!). Now all you have to determine is whether the correlation is positive or negative.
To determine the value of the correlation coefficient between "number of man-hours worked" and "number of units of work completed," we need more information about the relationship between these two variables. The correlation coefficient measures the strength and direction of the linear relationship between two variables, ranging from -1 to 1.
Without any additional information, it is challenging to accurately guess the correlation coefficient. However, in this case, we can make an educated guess based on the assumption that more man-hours worked should result in more units of work completed. As such, we would expect a positive correlation since the variables should be positively related.
Based on this assumption, the answer that is closest and most likely is:
a) approximately 0.9
To make an informed guess about the value of the correlation coefficient for the pair of variables "number of man-hours worked" and "number of units of work completed," you would first need to analyze the nature of their relationship. The correlation coefficient measures the strength and direction of the linear relationship between two variables. Here's how you can approach this:
1. Gather data: Collect data on the number of man-hours worked and the corresponding number of units of work completed for a sample of observations.
2. Plot a scatter plot: Create a scatter plot with the number of man-hours worked on the x-axis and the number of units of work completed on the y-axis. Each data point represents one observation.
3. Examine the scatter plot: Observe the general pattern of the data points on the scatter plot. Look for any discernible trend or relationship between the two variables.
4. Calculate the correlation coefficient: Use a statistical software or tool (e.g., Excel, Python, R) to calculate the correlation coefficient between the two variables. The correlation coefficient ranges from -1 to 1, where -1 indicates a strong negative linear correlation, 1 indicates a strong positive linear correlation, and 0 indicates no linear correlation.
Based on the scatter plot and the calculated correlation coefficient, you can make an informed guess about the value of the correlation coefficient between "number of man-hours worked" and "number of units of work completed."