Question: For this question, you will use data from the 2016 American National Election Study (ANES) to investigate the relationship between political ideology and feeling thermometer

  1. For this question, you will use data from the 2016 American National Election Study (ANES) to investigate the relationship between political ideology and feeling thermometer ratings of the police. Political ideology (V161126) is measured on a 7-point scale, where the lowest value, 1, means extremely liberal and the highest value, 7, indicates that the respondent is extremely conservative. Feeling thermometer ratings for the police (V162110) are measured on a scale from 0 (coldest) to 100 (warmest).

  1. Open ANES2016.sav and produce a scatterplot of the relationship between ideology, as the independent variable (x), and feelings about the police, as the dependent variable (y). Does there appear to be a relationship between these two variables, according to the scatterplot? (10 pts)
  2. Get the correlation coefficient between these two variables. What is the correlation coefficient? What does it tell us about the strength of this relationship? (10 pts)
  3. Now run a simple linear regression between these variables, including the necessary post-hoc tests/charts (e.g., normality, homoscedasticity, no outliers).
    1. What is the regression equation? (5 pts)
    2. What is the slope? What does it mean, in words? (4 pts)
    3. What is the intercept? What does it mean, in words? (4 pts)
    4. What is the p-value of the slope? Can we conclude that the population slope is unequal to zero? (5 pts)
    5. What is the R2 value for the model? What does it mean, in words? (4 pts)
    6. What is the F-statistic for the model and its associated p-value? What do they mean, in words? (4 pts)
    7. Evaluate if all the assumptions for linear regression are met in your model. Make sure to show how you evaluated each assumption. (5 pts)
    8. What is your overall interpretation of this bivariate linear regression model? (4 pts)

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