Question

Determine the direction, form, strength, and any outliers on the scatter plot with x-axis labeled year and y-axis labeled megawatts. The 18 points plotted are 1982 and 76.2, 1983 and 50.6, 1984 and 46.4, 1985 and 35.5, 1986 and 31.1, 1987 and 26.1, 1988 and 21, 1989 and 15.6, 1990 and 14.9, 1991 and 13.8, 1992 and 13, 1993 and 13, 1994 and 10, 1995 and 10, 1996 and 7, 1997 and 6.9, 1998 and 6.6, and 1999 and 6. This scatter plot has a ______ association, form is ______ curved, strength is ______, and there are ______ outliers.

1) negative association, slightly curved, weak, no apparent outliers
2) negative association, slightly curved, strong, one possible outlier
3) positive association, slightly curved, weak, no apparent outliers
4) negative association, linear, weak, one possible outlier

Answer 1

The scatter plot of the given data points suggests there is a negative association, the form appears to be linear, the strength seems to be strong, and there are no apparent outliers. which corresponds to the option: 2) negative association, slightly curved, strong, one possible outlier, assuming there is a slight curve that is not evident from just looking at the data points.

Step-by-step explanation:

To determine the direction, form, strength, and any outliers in a scatter plot with the given points, we should first visualize the trend that these points suggest. When plotted, it is observed that as the years increase from 1982 to 1999, the megawatts decrease. This indicates a negative association between the year and megawatts; as one goes up, the other goes down. The form of the relationship appears to be linear as there does not seem to be any curvature in the trend that the points suggest. Regarding the strength of this relationship, given that the megawatts consistently decrease as the years progress, we could argue that the association is relatively strong, meaning that the points closely follow a straight line. As for the presence of outliers, without graphing tools or additional statistical measures to identify them, it's difficult to say definitively if there are any. However, based on the provided data points alone, there seems to be no apparent deviation from the overall trend that would suggest the presence of outliers. Hence, the most appropriate choice given the options would seem to be 'negative association, linear, strong, no apparent outliers' which corresponds to the option: 2) negative association, slightly curved, strong, one possible outlier, assuming there is a slight curve that is not evident from just looking at the data points.