The table below shows the number of years after the year 2000 and the percentage of people of a country owning homes:

Number of years after 2000 (x) 2 4 5 1 3 7 6

Percentage of people owning homes (y) 24% 32% 36% 20% 28% 44% 40%

What is the correlation coefficient for the data, and what does it represent?

(A) 0; it represents no correlation between x and y

(B) 1; it represents a perfectly linear positive correlation between x and y

(C) 1; it represents a perfectly linear negative correlation between x and y

(D) - 1; it represents a perfectly linear negative correlation between x and y

Question

Mathematics

Justine Noble

6 October, 11:58

The table below shows the number of years after the year 2000 and the percentage of people of a country owning homes:

Number of years after 2000 (x) 2 4 5 1 3 7 6

Percentage of people owning homes (y) 24% 32% 36% 20% 28% 44% 40%

What is the correlation coefficient for the data, and what does it represent?

(A) 0; it represents no correlation between x and y

(B) 1; it represents a perfectly linear positive correlation between x and y

(C) 1; it represents a perfectly linear negative correlation between x and y

(D) - 1; it represents a perfectly linear negative correlation between x and y

+2

Answers (1)

Know the Answer?

Brian Holloway · Answer 1

The best fit line for the given data is this:

y = 0.04x + 0.16

The correlation coefficient for the data is 1 and the slope is 0.04.

Therefore, the answer is

(B) 1; it represents a perfectly linear positive correlation between x and y