Question

Using a set of data collected over a period of one year, a researcher assessed the linear relationship between urban growth and air quality violations in a community. The assessment showed a Pearson correlation coefficient(r) of 0.88 between urban growth and air quality violation. The significance was tested at 0.01 and showed a p value of 0.002. Explain this relationship in terms of strength, direction, and significance

Answer 1

Here we have to test that

H0: that is There is no linear relationship between urban growth and air quality violation.

H1 : that is There is linear relationship between urban growth and air quality violation.

Correlation coefficient = r = 0.88

P value = 0.002

Level of significance = = 0.01

Here p value <

So we reject H0.

Conclusion: We can say that r is significant that is there is linear relationship between urban growth and air quality violation.

r is significant.

Since r = 0.88 > 0.5 so we can say that there is strong positive relationship between urban growth and air quality violation.

r is significant.

Strength : Strong

Direction : Positive