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which of the following does not affect the standard error of the regression slop

ID: 3221520 • Letter: W

Question

which of the following does not affect the standard error of the regression slope?

the spread of x values

the spread around the regression line

the critical t-value

the sample size

A plot of residuals is used to check which of the following?

normality condition is satisfied

linear condition is satisfied

equal spread condition is satisfied

all of the above

a study examined gasoline consumption and the level of air pollution for a sample of countries. which of the following is the response variable in this study?

-countries

-gasoline consumption

-air pollution

-all of the above

Explanation / Answer

(a) which of the following does not affect the standard error of the regression slope?

- the critical t-value

(as it is calculated using the SE)

(b)

A plot of residuals is used to check which of the following?

normality condition is satisfied

linear condition is satisfied

equal spread condition is satisfied

all of the above

- The linear condition and equal variance assumption is usually checked by plot of residuals. But normality condition maybe checked using the Shapiro Wilk test statistic and not using the plot.

(c) a study examined gasoline consumption and the level of air pollution for a sample of countries. which of the following is the response variable in this study?

The level of air pollution maybe taken as the response or dependent variable and the gasoline consumption as the independent variable. This is because the amount gasoline consumption is a cause for air pollution and thus for a particular amount of gasoline consumption we may built a model to predict the level of air pollution for different countries.