Statistics
In the linear regression equation y = mx + b, what does 'b' represent?
If a regression model's residuals are randomly scattered around zero, what can be concluded about the model?
What is the primary purpose of a residual plot?
Given a dataset with an R² value of 0.60, what can be inferred about the relationship between the independent and dependent variables?
What is the effect of increasing the sample size on the variation of a dataset?
How can prediction intervals be used to support hypothesis testing?
A 95% confidence interval for beta is (0.30, 1.10). Which contextual statement is correct?
You have paired data of hours studied (x) in L1 and exam scores (y) in L2. Which sequence of TI-84 steps will correctly run a hypothesis test for beta (two-sided) using LinRegTTest?
Given sample slope b = 0.95, SE_b = 0.25, and n = 12, compute a 95% confidence interval for beta. Show steps, including t* and final interval.