Question

regression test
4 of 15
this test: 24 point(s) possible
this question: 1 point(s) possible
listed below are numbers of internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. construct a scatterplot, find the value
the linear correlation coefficient r, and find the p - value of r. determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. use a
significance level of α = 0.05.
internet users | 79.4 79.7 56.9 67.2 76.8 38.6
award winners | 5.5 9 3.3 1.6 11 0.1
construct a scatterplot. choose the correct graph below.
○ a. ○ b. ○ c. ○ d.
(scatterplot options with award winners on y - axis and internet users on x - axis, x from 30 to 90, y from 0 to 12)
the linear correlation coefficient is r = 786
(round to three decimal places as needed.)

Explanation:

Step1: Analyze Data Points

First, list the pairs of (Internet Users, Award Winners): (79.4, 5.5), (79.7, 9), (56.9, 3.3), (67.2, 1.6), (76.8, 11), (38.6, 0.1).

Step2: Match with Graphs

Check the x - axis (Internet Users: 30 - 90) and y - axis (Award Winners: 0 - 12). For the point (38.6, 0.1), x is ~39, y ~0.1. (76.8, 11): x ~77, y ~11. (56.9, 3.3): x ~57, y ~3.3. (67.2, 1.6): x ~67, y ~1.6. (79.4, 5.5): x ~79, y ~5.5. (79.7, 9): x ~80, y ~9. Now, look at the graphs. Option B's points should match these coordinates. For example, the low x (38.6) has low y (0.1), high x (76.8) has high y (11), etc.

Answer:

B