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

The correlation coefficient is:

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

Step-by-step explanation:

We are given a table as:

x    1        2         3       4           5       6          7

y   20%   24%   28%  32%    36%     40%    44%

where x represent The number of years after 2000.

and y represents Percentage of people owning homes.

Clearly from the table we could see that the percentage of homes keeps on increasing as the number of years increases.

Hence the relationship is a strong Linear positive relationship.

The best fit line for the given data is this:

y = 0.04 x + 0.16

Hence, the correlation coefficient is: 1.

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

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step-by-step explanation: