Given a simple linear regression model, please answer the questions
please help! Following is a simple linear regression model: y = a + A + & The following results were obtained from some statistical software. R2 = 0.523 Syx (regression standard error) = 3.028 n (total observations) = 41 Significance level = 0.05 = 5% Variable Interecpt Slope of X Parameter Estimate 0.519 -0.707 Std. Err. of Parameter Est 0.132 0.239 Note: For all the calculated numbers, keep three decimals. Write the fitted model (5 points) 2. Make a prediction...
For a simple linear regression model, significance of regression is: Group of answer choices the variability of the observed Y-values from the predicted values. a hypothesis test of whether the regression coefficient ß1 is zero. a measure of how well the regression line fits the data. a measure that determines if the linearity assumption is satisfied
Answer both questions please true or false 16. The slope of the simple linear regression equation represents the average change in the value of the dependent variable per unit change in the independent variable (X). True/False 19. When using simple regression analysis, if there is a strong correlation between the independent and dependent variable, then we can conclude that an increase in the value of the independent variable causes an increase in the value of the dependent variable.
Given a simple linear regression model with a sample size of n = 2; The sample data: (y1, x1), (y2, x2) (a) State the two normal equations in terms of the sample data (b) If there is only one observation (y1, x1) in the sample, how would the two normal equations look like? (c) What conclusion can we draw from the answer in part (a) and (b)?
QUESTION 20 In a simple linear regression model the data is given as X: 1, 2, 3, 4; Y: 7, 10, 9, 12. The estimated intercept is 6. The estimated slope is 1.4. The sum of residuals is 0 3.2 5 38
In the simple linear regression model, the ____________ accounts for the variability in the dependent variable that cannot be explained by the linear relationship between the variables. a. constant term b. residual c. model parameter d. error term
A simple linear regression model was developed to see is age is helpful in estimating salary. a random sample of n=29 (degrees of freedom = n-2 for simple linear regression) ages and salaries were obtained. the test statistic value was 2.473. what is the p-value for the model?
Use the data below to answer questions 1 to 6. Use a multiple linear regression model with linear main effects only Show all calculations. No credit will be given for computer 7.2 9.8 12.3 12.9 Sum of Squares 31.19 3 5 6 8 9 Y U D F G J K L Calculate the fitted regression line. Write out the calculations using matrix format. Use the data below to answer questions 1 to 6. Use a multiple linear regression model...
6. This problem considers the simple linear regression model, that is, a model with a single covariate r that has a linear relationship with a response y. This simple linear regression model is y = Bo + Bix +, where Bo and Bi are unknown constants, and a random error has normal distribution with mean 0 and unknown variance o' The covariate a is often controlled by data analyst and measured with negligible error, while y is a random variable....
A simple linear regression model is given as follows Yi = Bo + B1Xi+ €i, for i = 1, ...,n, where are i.i.d. following N (0, o2) distribution. It is known that x4 n, and x = 0, otherwise. Denote by n2 = n - ni, Ji = 1 yi, and j2 = 1 1. for i = 1, ... ,n1 < n2 Lizn1+1 Yi. n1 Zi=1 1. Find the least squares estimators of Bo and 31, in terms of...