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
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QUESTION 20 In a simple linear regression model the data is given as X: 1, 2,...
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...
QUESTION 1In a simple linear regression model, the intercept of the regression line measuresa.the change in Y per unit change in X.b.the change in X per unit change in Y.c.the expected change in Y per unit change in X.d.the expected change in X per unit change in Y.e.the value of Y when X equals 0.f.the value of X when Y equals 0.g.the average value of Y when X equals 0.h.the average value of X when Y equals 0.QUESTION 2In a...
In the simple linear regression model, the slope represents the: A. change in y per unit change in x B. value of y when x = 0 c. change in x per unit change in y D. value of x when y = 0 In the first-order linear regression model, the population parameters of the y-intercept and the slope are estimated by CA. bo and A CB. bo and b CC. A and Po CD. b and Bo
2.4 We have defined the simple linear regression model to be y =B1 + B2x+e. Suppose however that we knew, for a fact, that ßı = 0. (a) What does the linear regression model look like, algebraically, if ßı = 0? (b) What does the linear regression model look like, graphically, if ßı = 0? (c) If Bi=0 the least squares "sum of squares" function becomes S(R2) = Gyi - B2x;)?. Using the data, x 1 2 3 4 5...
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...
QUESTION 25 Given the linear model -8x + 7y = 9, what value of y is predicted when x=-4? Round to the nearest hundredth. QUESTION 26 : The following linear model is created: y = 5x+15. What is the predicted value of the dependent variable when the independent variable has a value of 1.4? QUESTION 27 The slope, to the nearest hundredth, of the line 4x + (-5)y = -3 is QUESTION 28 Given the linear model y = 2x...
In the simple linear regression equation, (y a+ bx+ e), the a is the... O A. independent variable O B. slope of the fitted line C. dependent variable O D.y-intercept Reset Selection Question 2 of 5 1.0 Points In the simple linear regression equation, (y a+bx+ e) the y is the O A. independent variable O B. dependent variable O C. slope of the fitted line D. y-intercept Question 3 of 5 1.0 Points The R2 for a regression model...
Part A Consider the Simple Linear Regression model. If the COV[X,Y] = 2.4, VAR[X] = 1.2, X-bar = 9.6, and Y-bar = 23.4, then compute the slope coefficient Beta1. Provide your answer with three decimal places of precision, e.g. 0.001. Part B Consider the Simple Linear Regression model. If the COV[X,Y] = 2.4, VAR[X] = 1.2, X-bar = 9.6, and Y-bar = 23.4, then compute the intercept Beta0. Provide your answer with three decimal places of precision, e.g. 0.001.
a. Fit a simple linear regression model relating number (y) of software millionaire birthdays in a decade to total number (x) of births in this country. Give the least squares prediction equation. b. Practically interpret the estimated y-intercept and slope of the model, part a. c. Predict the number of software millionaire birthdays that will occur in a decade where the total number of births in this country is 26 million. d. Fit a simple linear regression model relating number...