NHL Assists and Total Points A random sample of scoring leaders from the National Hockey League (NHL) showed the following numbers of assists and total points Based on these data, can it be concluded that there is a significant relationship between the two? Assists Total points 58 44 73 58 59 67 88 86 112 109 109 91 Send data to Excel Part: 0 / 5 Part 1 of 5 (a) Draw the scatter plot for the variables_ NHL Assists and Total Points 115- IO- 105- 1 3
The Correct Answer and Explanation is:
Correct Answer: Scatter Plot Points
To plot the scatter diagram using the given data:
Data pairs (Assists, Total Points):
- (58, 88)
- (44, 86)
- (73, 112)
- (58, 109)
- (59, 109)
- (67, 91)
Now, plot these on the graph where the x-axis is Assists and the y-axis is Total Points.
Explanation
A scatter plot is a graphical representation used to display the relationship between two quantitative variables. In this case, we are examining the relationship between NHL Assists (independent variable, x-axis) and Total Points (dependent variable, y-axis) for six scoring leaders.
From the dataset:
| Assists | Total Points |
|---|---|
| 58 | 88 |
| 44 | 86 |
| 73 | 112 |
| 58 | 109 |
| 59 | 109 |
| 67 | 91 |
When we plot these on a scatter plot, we can visually assess if there’s a trend or pattern.
Looking at the scatter plot:
- As the number of assists increases, the total points tend to increase as well.
- The point (44, 86) is relatively lower in both assists and points.
- The highest pair (73, 112) shows that a higher number of assists correlates with a high total point score.
This suggests a positive correlation, meaning that players with more assists tend to have higher total points. This makes intuitive sense in hockey, where assists contribute directly to point totals.
The scatter plot helps to visualize this trend, and further statistical analysis (e.g., correlation coefficient or linear regression) could confirm whether this observed relationship is statistically significant.
In summary, the scatter plot supports the hypothesis of a significant positive relationship between assists and total points in the NHL. This tool is an essential first step in assessing data trends before applying more advanced statistical tests.
