Question 1 – Exploratory Data Analysis of Categorical Variable – 2ptsCreate a boxplot of the response variable Car.Purchase.Amount and the categorical variable Country. From this plot, does Country appear useful in predicting Car.Purchase.Amount?  Explain how you came to your conclusion.

What is the value of C, the degrees of freedom of the F-statistic?

If is not invertible, then the columns of are not linearly independent and hence, multicollinearity exists, although we can still estimate

Suppose that we have a multiple linear regression model with quantitative predictors, one qualitative predictor with categories and an intercept. Consider the estimated variance of the error terms based on observations. The estimator should follow a Chi-square distribution with

Multiple regression analysis is used when:

A dataset on traffic congestion on several bridges crossing the same river contains 1098 data points and 4 bridges.  What are the degrees of freedom of the F-test when comparing treatments using ANOVA?

What is the value of A, the t-value for Wine_Consumption_per_capita?

In simple linear regression, if the correlation coefficient between the response and predictor variable is 0.46, how much of the variation of the response variable is explained by the predicting variable?

If the confidence interval for the difference between two treatment means does not include zero, we can conclude that the means are statistically significantly different, and can also conclude which mean is larger and which one is smaller.

Choose the correct interpretation for the coefficient of the Wine_Consumption_per_capita explanatory variable: Fill in the blanks: An increase in wine consumption per capita by one unit results in a(n) ___________ in cirrhosis death rate of ___________ , holding all other variables constant.