What kind of plot is useful for deciding whether it is reasonable to find a regression to find a regression plane for a set of data points involving several predictor variables?

What kind of plot is useful for deciding whether it is reasonable to find a regression to find a regression plane for a set of data points involving several predictor variables?

Question
Scatterplots
asked 2020-11-12
What kind of plot is useful for deciding whether it is reasonable to find a regression to find a regression plane for a set of data points involving several predictor variables?

Answers (1)

2020-11-13
Step 1
Scatterplot matrix:
A scatterplot matrix is an array or a collection of scatterplots, consisting of all possible scatterplots of the response variable drawn against each predictor and also, between every pair of predictors.
Step 2
A careful inspection of the scatterplot matrix reveals the nature of relationship between all the variables in the data set. It is known that it is reasonable to fit a regression plane to a data, only if there exists a linear relationship or at least, a somewhat linear relationship of the response variable with each of the predictor variables.
Thus, the plot that is useful for deciding whether it is reasonable to find a regression plane for a set of data points involving several predictor variables is a scatterplot matrix.
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