Question

In: Statistics and Probability

Residual plots are useful in visually checking for all of the following except A) abnormal patterns...

Residual plots are useful in visually checking for all of the following except

A) abnormal patterns

B) significant variables

C) outlier points

D) leverage points __________.

A hypothesis test in which there ultimately was not sufficient evidence to reject the null hypothesis results in a final conclusion of

A) Reject Ho

B) Accept Ho

C) Do not reject Ho

D) Do not accept Ho __________.

Solutions

Expert Solution

# residual plot is plot of residual values on the vertical axis and independent variable on the horizontal axis.

It is used to find problems with regression

  1. heteroskedastic data (points at widely varying distances from the line)
  2. Data that is non-linearly associated
  3. Data set with outliers

if the points in residual plot are randomly dispersed around the horizontal axis a linear regression model is appropriate for the data otherwise nonlinear model is more appropriate.

Good fit residual plot is given as following type

leverage points is defined as an observation that has a value of x that is far away from the mean of x.

Hence option B is correct.

Because except significant variables residual plot is used for checking all given.

# reject the null hypothesis does not mean that the null hypothesis is true. It only means we to are unable provide enough evidence for the alternative hypothesis.

Hence option C is correct.

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