What are the assumptions of Pearson’s correlation? Bradford Electric Illuminating is studying the relationship between kilowatt-hours (thousands) used and the number of rooms in private single-family residences. A random sample of 5 houses yields the following.

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What are the assumptions of Pearson&#8217;s correlation? Bradford Electric Illuminating is studying the relationship between kilowatt-hours (thousands) used and the number of rooms in private single-family residences. A random sample of 5 houses yields the following.

Bipin Tiwari · Accepted Answer

Pearson's correlation coefficient measures the linear relationship between two continuous variables. The assumptions of Pearson's correlation include: Linearity: The relationship between the two variables is linear. In other words, the scatterplot of the two variables should show a roughly straight-line pattern. Normality: Both variables are normally distributed. This means that the distribution of scores for each variable follows a normal distribution. Homoscedasticity: The variance of scores for each variable is equal across all levels of the other variable. In other words, the spread of scores should be roughly the same for all levels of the other variable. Independence: The observations of each variable are independent of one another. This means that the value of one observation should not be influenced by the value of another observation. Interval or ratio measurement: Both variables are measured on an interval or ratio scale. This means that the difference between any two values is meaningful and consistent across the range of possible values. Violations of these assumptions can lead to inaccurate results when calculating the Pearson correlation coefficient.

Number of rooms	11	10	14	7	9
Kilowatts-hours(thousands) used	9	8	11	5	9

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