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ts addition to the amount of television, we also have standardized measurements

ID: 2926924 • Letter: T

Question

ts addition to the amount of television, we also have standardized measurements for playing computer games and amount of sibling aggression. 5. Write the model we would use to predict aggression with all three variables. [10 6. Interpret the R2 value. [5] 7. Is the model you identified in 5 useful? [5] 8. Say each predictor is, in reality, useful for predicting aggression at any fixed value of the other explanatory variables. What does that mean for the result of the test in the row indicated? [5 What assumption(s) do we check with the plot provided in the output? Describe (a) the plot and (b) whether it appears as if the assumption(s) you outlined was/were satisfied. [10] 9.

Explanation / Answer

The model equation is formed using the coefficients

Y = -0.003685 + 0.1214487*Television +0.1415636*Computer_games +0.0669037*Sibling_aggression

the r2 value is 0.055761 , this means that the model is able to explain only 5% variation in the data

as the r2 value is very low , this means the model is not fitted well as it is not able to capture the information. For the model to be decently good , the r2 value should be above 0.85 atleast

We see from the residual plot that the residuals are normally distributed , which is an assumption of linear regression