is least squares linear regression an appropriate approach to build a model for this data? question 18 options: appropriate, there is a cyclical pattern appropriate, the residuals are in straight lines appropriate, residuals are close to the line not appropriate, there is a cyclical pattern and non-normal distribution

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20-12-2022
Mathematics

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is least squares linear regression an appropriate approach to build a model for this data? question 18 options: appropriate, there is a cyclical pattern appropriate, the residuals are in straight lines appropriate, residuals are close to the line not appropriate, there is a cyclical pattern and non-normal distribution

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kumarravichandra kumarravichandra · Answer 1 · 2022-12-25T04:50:21-05:00

Linear regression assumes a linear relationship and normal distribution of the residuals, which is not present in this data due to the cyclical pattern and non-normal distribution. Therefore, linear regression is not an appropriate approach for this data.

It is based on the assumption that the data follows a linear pattern, and that the residuals are normally distributed. This means that the residuals should be close to the line and form a straight line pattern. However, in this data, there is a cyclical pattern and a non-normal distribution of the residuals. Therefore, the assumptions of linear regression are not met and it is not an appropriate approach to build a model for this data. Other models, such as non-linear regression, may be more suitable for this data. Non-linear regression can account for non-linear patterns, such as the cyclical pattern present in this data, and will be better able to capture the relationship between the two variables.

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