In the simple linear regression equation, (y a+ bx+ e), the a is the... O A....
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...
Linear Regression and Prediction perform a linear regression to determine the line-of-best fit. Use weight as your x (independent) variable and braking distance as your y (response) variable. Use four (4) places after the decimal in your answer. Sample size, n: 21 Degrees of freedom: 19 Correlation Results: Correlation coeff, r: 0.3513217 Critical r: ±0.4328579 P-value (two-tailed): 0.11837 Regression Results: Y= b0 + b1x: Y Intercept, b0: 125.308 Slope, b1: 0.0031873 Total Variation: 458.9524 Explained Variation: 56.6471 Unexplained Variation: 402.3053...
Use the given linear equation/model to answer each questions. The linear equation/model y = 5x + 40 explains the linear relationship between number of hours a student spent studying and the exam score this student received. Hours spent studying is the independent variable. Exam score is the dependent variable. (i) Write the linear equation/model in the context of the problem. (10 points) (ii) Determine the y-intercept. Explain the y-intercept in the context of the problem. Use one to two sentences....
Question 6 (10 marks) Finally, the researcher considers using regression analysis to establish a linear relationship between the two variables – hours worked per week and yearly income. a) What is the dependent variable and independent variable for this analysis? Why? (2 marks) b) Use an appropriate plot to investigate the relationship between the two variables. Display the plot. On the same plot, fit a linear trend line including the equation and the coefficient of determination R2 . (2 marks)...
QUESTION 13 For a simple linear regression model, the estimated intercept is 5, and the estimated slope is -3, it implies that as the independent variable increases by 1 unit, the dependent variable would increase by 5 units. as the independent variable increases by 1 unit, the dependent variable would decrease by 3 units. as the dependent variable increases by 1 unit, the independent variable would increase by 5 units. as the dependent variable increases by 1 unit, the independent...
step by step please ? ? QUESTION 04 (20 points) - Simple Linear Regression (SLR) We have the following hypothetical data for the independent variable x (other names: regressor, covariate, or explanatory variable) and the dependent variable y (regressand). Obs. х y x² ху 1 8.34 0.75 ? ? 2 3.21 2.37 10.30410 3 5.96 3.80 ? 1.27 4.40 ? 5.58800 5 4.28 2.52 ? TOTAL ? ? ? (a) Use Excel to draw a y-x scatter diagram with y...
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
An assumption of the simple linear regression model is... (a) (b) (c) (d) that only the dependent variable is random that only the independent variable is random that both the dependent and independent variables are random that dependent and independent variables are not random
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.
1. In regression analysis, the Sum of Squares Total (SST) is a. The total variation of the dependent variable b. The total variation of the independent variable c. The variation of the dependent variable that is explained by the regression line d. The variation of the dependent variable that is unexplained by the regression line Question 2 In regression analysis, the Sum of Squares Regression (SSR) is A. The total variation of the dependent variable B. The total variation of the independent variable...