Question

In: Statistics and Probability

The number of people living on American farms has declined steadily during the 20th century. Here...

The number of people living on American farms has declined steadily during the 20th century. Here are data on the farm population (in millions of persons) from 1935 to 1980.

Year	1935	1940	1945	1950	1955	1960	1965	1970	1975	1980
Population	32.1	30.5	24.4	23.0	19.1	15.6	12.4	9.7	8.9	7.2

What is the correlation coefficient between year and population? Interpret the meaning of its value.

Group of answer choices

-.976, weak and negative

.976, strong and positive

-.988, strong and negative

.988, strong and positive

Expert Solution

- 0.988 , strong and negative

[ interpretation:-

i am using minitab to solve the problem.

copy the data in two columns of minitab named year and population statbasic statistics correlation in variables select year, population in method select pearson correlation ok.

your minitab output be:-

Correlations

Pearson correlation

-0.988

decision:-

the higher absolute value of r indicates that the correlation is strong and the negative sign indicates that the correlation is negative, which means that as one variable increases , the other one will decrease.]

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orchestra answered 2 years ago

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