What do we mean by “regression toward the
mean?”
A. The linear regression equation can be used to
identify the average value of each variable in the model.
B. Linear regression normalizes the scale of the variables so they
have a mean of zero and standard deviation of 1.
C. The phenomenon that if a variable is extreme on its first measurement, it will tend to be closer to the average on a second measurement.
D. Outliers in the model should always be excluded when using linear regression.
Ans :
C)
. The phenomenon that if a variable is extreme on its first measurement, it will tend to be closer to the average on a second measurement
What do we mean by “regression toward the mean?” A. The linear regression equation can be...
1. In simple linear regression analysis, we assume that the variance of the independent variable (X) is equal to the variance of the dependent variable (Y) True False 2. The standard deviation of the sampling distribution of the sample mean is the same as the population standard deviation. True False 3. If n=20 and p=.4, then the mean of the binomial distribution is 8 True False 4. If a population is known to be normally distributed, then it follows that...
Use the following linear regression equation to answer the questions. x1 = 1.7 + 3.9x2 - 8.1X3 + 1.9x4 (a) Which variable is the response variable? O O O O Which variables are the explanatory variables? (Select all that apply.) o X3 O X4 Сх, (b) Which number is the constant term? List the coefficients with their corresponding explanatory variables. constant X2 coefficient Xz coefficient x4 coefficient (C) If x2 = 8, X3 = 3, and X4 = 1, what...
Use the following linear regression equation to answer the questions. X1 = 1.7 + 3.6x2 - 8.4x3 + 1.5x4 (a) Which variable is the response variable? O X1 O X2 O X4 O X3 Which variables are the explanatory variables? (Select all that apply.) X3 X1 U X2 (b) Which number is the constant term? List the coefficients with their corresponding explanatory variables. constant X2 coefficient X3 coefficient X4 coefficient (c) If x2 = 8, X3 = 5, and x4...
Suppose we developed the following least squares regression equation: can we conclude? What The dependent variable increases 3.5 for each unit increase in X.! The equation crosses the Y-axis at 2.1. If X= 5, then is 14. There is a significant positive relationship between the dependent and independent variables.
Decide (with short explanations) whether the following
statements are true or false.
e) In a simple linear regression model with explanatory variable x and outcome variable y, we have these summary statisties z-10, s/-3 sy-5 and у-20. For a new data point with x = 13, it is possible that the predicted value is y = 26. f A standard multiple regression model with continuous predictors and r2, a categorical predictor T with four values, an interaction between a and...
Use the following linear regression equation to answer the questions. x3 = −16.5 + 4.5x1 + 8.4x4 − 1.5x7 (a) Which variable is the response variable? x4x3 x7x1 Which variables are the explanatory variables? (Select all that apply.) x4x7x3x1 (b) Which number is the constant term? List the coefficients with their corresponding explanatory variables. constant x1 coefficient x4 coefficient x7 coefficient (c) If x1 = 3, x4 = -10, and x7 = 8, what is the predicted value for x3? (Round...
Use the following linear regression equation to answer the questions. x1 = 1.5 + 3.4x2 – 8.3x3 + 2.3x4 (a) Which variable is the response variable? Which variables are the explanatory variables? (b) Which number is the constant term? List the coefficients with their corresponding explanatory variables. constant? x2 coefficient? x3 coefficient? x4 coefficient? (c) If x2 = 1, x3 = 8, and x4 = 6, what is the predicted value for x1? (Use 1 decimal place.) (d) Explain how...
How to do with TI-83 Plus? In class we examined the linear relationship between shoe size and height for females. When looking at the male data, the following statistics were computed. For shoe size, the sample mean was 11 and the sample standard deviation was 1.35. For height, the sample mean was 71.5 and the sample standard deviation was 2.8. The sample correlation between shoe size and height was found to be r = 0.64. Find the regression equation for...
4. The following is the output of linear regression analysis, which includes dummy variables and interactions. The following are the variables: Y = Birth weights of infants born in preterm in three hospitals (A, B and C) X = Gestation age in weeks flif infant was born in Hospital A 10 Otherwise s X2= flif infant was born in Hospital B 10 Otherwise Variable Coefficient Standard deviation 1 P (approximate) Constant -1.1361 4904 .07648 01523 .7433 .6388 X -.8239 .6298...