1. [1 pt] Which of the following is not true about the regression model?
(a) In the regression model, the residual of each observation represents the deviation from the least squared regression line. In other words, it represents the difference between the actual and predicted values.
(b) In the ideal situation, errors in the population regression model follow a normal distribution with zero mean.
(c) The errors in the regression model should be independent of each other.
(d) When building a regression model to estimate the effect of advertising on sales, the larger the slope is, the more significant the impact of the variable is independent of its p-value.
2. [1 pt] Which of the following is true in the context of using regression analysis to estimate relationships?
(a) If the intercept coefficient is statistically significant, it means the average value of the dependent variable is almost close zero when the independent variable is zero.
(b) If the slope coefficient is statistically significant and positive, it means that we have evidence that an increase in the independent variable is associated with a negative change in the dependent variable.
(c) The higher (in absolute value) the slope coefficient for an independent variable is, the lower the p-value for that variable will be.
(d) If the p-value of the F-statistic is small, it means that there is significant statistical evidence that variation in the dependent variable are well explained by variations in the independent variables.