Below is the result of a simple linear regression from the utilities dataset from lecture   Considering the R-squared value of 0.180. What does this tell you about the model’s explanatory power? 

Discuss the role of hypothesis testing in evaluating regression coefficients. What does the p-value for a coefficient test (list the null and alternative hypothesis), and how should it be interpreted?

You are analyzing BART ridership data to test whether weekend ridership is significantly less than weekday ridership. You have created two groups of data: weekend_riders and weekday_riders for the last two decades of data.Which of the following is the most appropriate statistical test using the scipy.stats module?

What is the main purpose of applying one-hot encoding to a categorical variable before using it in a regression or classification model with the scikit-learn library?

Which of the following problems is most appropriate for logistic regression?

Which of the following best describes the residual plot from simple linear regression below?

What does the p-value in a hypothesis test represent?

Suppose you are comparing two Simple Linear Regression models for the same response variable Y. Your model using predictor A has the lowest average MSE (based on 5-fold cross validation), but your model using predictor B has a higher R-squared. Which of the following best describes this situation?

For a particular time series, the following are the ACF and PACF functions plotted along with the 95% CIs   Answer the following – (3 points) Which lag appears to be  most statistically significant in the time series?- (3 points)  Explain how you determined that this lag is significant using information from the plot.

The null hypothesis is typically a claim of “no effect” or “no difference.”