You are asked to conduct an Analysis of Variance test (ANOVA). You are comparing the recidivism rates of juveniles across three neighborhoods. Formally state your research and null hypothses.

Answer the following questions: Each question answers with 200+ words. All questions based on this online book: https://onlinestatbook.com/2/index.html (chapters 11-17)

Question: 1- You are asked to conduct an Analysis of Variance test (ANOVA). You are comparing the recidivism rates of juveniles across three neighborhoods. Formally state your research and null hypothses.

Question: 2- Staying with your ANOVA example from above. What can you tell me about the two variables that are being examined? Note: Don’t go into detail here, but based on the fact that we are running an ANOVA, what MUST be true about these two variables?

Question: 3- You’ve run the ANOVA and you’ve obtained an F test statistic of 9.2, with a critical value of 3.34. What conclusion do you draw about the analyses? In other words, thinking about your hypotheses from question 1, which do you have support for?

Question: 4- In chapter 14 you’ve been introduced to linear regression. Explain what the ‘slope’ refers to in regression analysis.

Question: 5- In a multiple regression model, how do we interpret r-squared?

Question: 6- Imagine that we’ve run a regression model predicting the variable happiness (ratio level variable) and the independent variable of income (ratio level variable). In other words, testing the idea that money makes people happy. With an unstandardized coefficient (slope) of 5.648 and a significance value of .03. What can you tell me about the relationship between income and happiness?

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