Question

Use the scatter plot to answer the question.

Information
A scatter plot.Short description, A scatter plot.,Long description,
The scatter plot has points at:

(0.3, 17)
(0.4, 17)
(0.5, 14)
(0.6, 12)
(1.2, 10)
(1.3, 13)
(1.3, 12)
(1.3, 10)
(1.5, 10)
(1.9, 4)
(2, 6)

Question
What is the ,begin emphasis,best,end emphasis, estimate for the correlation coefficient of the data shown in the scatter plot?

Answer options with 4 options
A.
0.89

C.
negative 0.12

B.
0.12

D.
negative 0.89

Answer 1

To estimate the correlation coefficient based on the scatter plot points you provided, we can interpret the overall trend of the data.

Here's a breakdown of the points:
- As the x-values increase, the y-values appear to generally decrease, particularly from (0.5, 14) onwards, with some fluctuations.
- For example:
- (0.3, 17) and (0.4, 17) remain constant, then we see a drop at (0.5, 14), then to (0.6, 12), further dropping to (1.2, 10), and so on.

The overall trend suggests a negative correlation, meaning as x increases, y tends to decrease.

Given the options:
A. 0.89
B. 0.12
C. negative 0.12
D. negative 0.89

The best estimate for the correlation coefficient for this data based on the observed trend is **D. negative 0.89**, indicating a strong negative correlation.