(Solved):
Here is a data set that illustrates an important point about correlation: X 45 55 65 75 85 Y 30 50 ...
Here is a data set that illustrates an important point about correlation: X 45 55 65 75 85 Y 30 50 70 50 30 Click to download the data in your preferred format. CSV Excel JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt! Make a scatterplot of Y versus X. Describe the relationship between Y and X. Is it weak or strong? Is it linear? O X and Y have a weak, linear relationship. O X and Y have a weak, non-linear relationship. O X and Y have a strong, non-linear relationship. O X and Y have a strong, linear relationship. Find the correlation between Y and X. Give your answer to one decimal place. r = What important point about correlation does this exercise illustrate? O Positive r indicates a positive association between the variables, and negative r indicates a negative association. O Like the mean and standard deviation, the correlation is not resistant: r is strongly affected by a few outlying observations. User with caution when outliers appear in the scatterplot. O Correlation measures the strength of only a linear relationship between two variables. Correlation does not describe a non-linear relationship between variables, no matter how strong that relationship is. O The correlation r is always a number between 1 and 1. Values of r near 0 indicate a very weak linear relationship. The strength of the linear relationship increases as r moves away from 0 toward either -1 or 1.