The data being used for the quiz are based on data that were collected after the

Question

The data being used for the quiz are based on data that were collected after the 2009 war ended that was between Israel and the Hamas militias in the Gaza Strip. Responses were obtained from a group of students whom were exposed to rocket attacks during that period. The variables in the study include:

ID: Used to indicate the ID# of the participant

Age: The age of the individuals that responded to the survey

Gender: The gender of the individuals that responded to the survey

0 = Female

1 = Male

Parents in range; Indicates whether or not the participant’s parents decided to stay in the range of the rockets

0 = Not in range

1 = In range

Anger: Respondents were asked to estimate the level of anger they felt during the war

Fear: Respondents were asked to estimate the level of fear they felt during the war

Perceived Threat: Respondents estimated the likelihood/probability that they would experience risky events within the next 12 months

7.0

Comment on how well the data meet the following assumptions for regression analysis, providing the appropriate metrics from your output to support your answer.

i. Normality

ii. Independence of Observations

ID age gender parents.in.range anger fear perceived.threat 1 35 0 0 4.5

7.0

64.90 2 40 0 0 7.0 7.0 86.78 3 28 1 0 5.0 5.0 87.97 4 25 1 0 2.0 2.0 44.63 5 26 1 0 5.5 2.0 98.83 6 33 0 1 6.5 2.0 61.45 7 21 1 1 4.0 4.0 42.38 8 29 1 1 5.0 2.5 99.61 9 21 0 1 3.0 3.5 83.61 10 20 1 1 5.5 4.5 76.94 11 39 1 0 6.0 1.5 49.23 12 31 1 1 4.0 2.0 5.16 13 34 0 1 3.0 3.0 64.15 14 34 0 1 4.0 6.0 25.56 15 26 1 0 2.5 5.5 84.39

Explanation / Answer

Regression analysis whether one or more predictor variable explains the dependent variable.

the regression has five assumption

1.linear relationship

2. Multivariate normality

3. Little or no multicollinearity

4. No auto correlation

5. Homoscedasticity

1. Linear regression needs the relationship between the independent and dependend variable to be linear. The liearity can be checked with scatter plots.

on x axis independent variable and on y axis dependent variable to be taken when plotting on a graph. The linear regression analysis requires all variables to be multivariate normal.

Normality test can be checked with goodness of fit.

when the data is not normally distributexa non linear transformationi.e log transformation might fix the issue

MULTI collinearity occurs when the independent variables are highlycorrelated with each other.

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