True or False? For each of the following statements, choose either true or false

Question

True or False? For each of the following statements, choose either true or false. The symbols, beta_0 and beta_1, represent the sample intercept and slope, respectively. For different values of an explanatory variable the simple linear regression model describes how the predicted value (or mean) of the response variable changes. The null hypothesis, H_0: beta_1 = 0, claims that there is no linear relationship between y and x. The test statistic for testing the null hypothesis, H_0: beta_1 = 0, follows a t-distribution with n - 1 degrees of freedom. When we fit a least-squares regression line to two quantitative variables, we select the line that minimizes the sum of squared horizontal distances between the data points and their corresponding predictions. If we switch the role of the response and explanatory variable the least squares estimate of the slope will not change.

Explanation / Answer

False, the symbol beta0 and seta1 represent the population incept and population slope respectively.

True. Fr different values of an explanatory variable the linear regression equation describes how the predicted value of the respone variable changes.

False, the null hypothesis H0:rho=0 claims that there is no linear relationship between y and x,

False. The test statistic follows a t distributon with n-2 degrees of freedom.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.