Identify which assumption is needed to use the linear regression model to make inferences about the relationship. Identify which assumption is the least critical.

emancipezN

emancipezN

Answered question

2020-10-21

Identify which assumption is needed to use the linear regression model to make inferences about the relationship.
Identify which assumption is the least critical.

Answer & Explanation

Aniqa O'Neill

Aniqa O'Neill

Skilled2020-10-22Added 100 answers

Assumptions:
- Data are collected randomly.
- A linear relationship between dependent variable y and explanatory variable x in the population.
- The population values of y at each value of x follow a normal distribution with the same standard deviation at each x value.
In this case, the third assumption is the least critical because the estimates from the regression models have bell-shaped sampling distributions when the sample size is large according to the central limit theorem.

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