Choices are listed below in the order they are in sentence. A-(change sign, stay

Question

Choices are listed below in the order they are in sentence.

A-(change sign, stay about the same,decrease, increase)

B- (remain the same, increase, decrease), (larger, unchanged, smaller) and (the smallest residual, little effect on the model, the largest residual)

C- (is, is not), (mean, maximum, minimum) and (explanatory, resonse)

(a) If the observation marked with an x in the plot to the right is removed, how will the slope of the least squares line change? (b) What will happen to r2 and s,? (c) Is this observation leveraged? 1400 200 50 100 (a) The slope will (b) The value of r would (c) This observation | a leveraged outlier because it is near the | if the observation is removed. | and s, would be | because this observation has | value of the | variable.

Explanation / Answer

Solution-  

Observation X is an outlier and is a very high value,

when it is removed then Sxx will reduce and thus slope of regression line will decrease.

value of r2 will increase as our model will improve and more percentage of variation will be told by the regression model.

Se will decrease too as this residual is the largest residual.

This boservation is a leveraged oulier because it is near to maximum value of the response variable.

Answers

TY!

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