in a regression relationship between X and Y, if a = 2 and b = 4, what would the value of Y be when X = 1?
The regression equation is,
Y = a + b X
For, a = 2 and b = 4
Y = 2 + 4X
When X = 1,
Y = 2 + 4 * 1 = 6
in a regression relationship between X and Y, if a = 2 and b = 4,...
Given are five observations for two variables, x and
y.
xi
1
2
3
4
5
yi
3
8
4
10
15
(a)
Develop a scatter diagram for these data.
1 2 3 4 5 g 2 N to Go 4 1 2 0 1 3 4 5 6 1 2 3 (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? There appears to be a negative linear relationship between x...
are the assumptions behind any multiple regression model? (b). For a multiple regression model Y-Bo + βιΧ. + β2X2 +β3Xs + € where is the error term, to represent the relationship between Y and the four X- variables. We got the following results from the data: Source Sum of Squares degrees of freedom mean squares Regression 1009.92 Residual Total 2204.94 34 And also you are given: Variable X1 Σ.tx-xr 123.74 72.98 12.207 -Pr values -11.02 5.13 X2 X3 Y-intercept is...
1. If an estimated regression line has a y-intercept of 10 and a slope of 4, then when x = 2 the actual value ofy is: а. 18 b. 15 с. 14 d. unknown 2. Given the least squares regression line v = 5- 2x: a. the relationship between x and y is positive b. the relationship between x and y is negative. c. asx decreases, so does y. d. None of these choices. 3. A regression analysis between weight...
2. In a typical simple linear regression model, explore the relationship between the expected value of change in the response variable y and the value of the regressor x changed by 20 or 40 units. Describe the condition or assumption, if any, to meet for such exploration. 3. In a multiple linear regression model where x1 and x2 are two regressors. Explore the relationship between the expected value of change in the response variable y and the value of the...
2, It is known that the quantitative relationship between the dependent variable Y and the independent variables X and 2 is: A. Make a Table and draw the graph of the relationship between Y and X when the numerical value of Z is: B. Make a Table and draw the graph of the relationship between Y and Z when the numerical value of X is: C. Make a Table of the value of the rate of change of Y with...
2, It is known that the quantitative relationship between the dependent variable Y and the independent variables X and 2 is: A. Make a Table and draw the graph of the relationship between Y and X when the numerical value of Z is: B. Make a Table and draw the graph of the relationship between Y and Z when the numerical value of X is: C. Make a Table of the value of the rate of change of Y with...
Evaluating a regression model: A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y = − 0.693 ⋅ x + 28.802 , with an R-squared value of 0.571536. Assume the model indicates a significant relationship between hours of TV watched and the number of situps a person can do. Use the model to predict the...
37 tt ts known that the vartable Y and e quanticative relationship between the dependent 2. the independent variables X ane z is A Nake a Table and draw the graph of the relationshdp betveem Y and x when the numerical value of Z is: B. Make a Table and draw the graph of the relationship betveen Y and 2 when the numerical value of x is: b. Х-+10. 2, It is known that the quantitative relationship between the dependent...
Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 3 7 8 11 14 Which of the following scatter diagrams accurately represents the data? 1. 2. 3. SelectScatter diagram #1Scatter diagram #2Scatter diagram #3Item 1 What does the scatter diagram indicate about the relationship between the two variables? SelectThere appears to be a linear relationship between x and yThere appears to be a nonlinear relationship between x and yItem 2 Try to...
The β 1 term indicates a. the Y value for a given value of X. b. the average change in Y for a unit change in X. c. the Y value when X equals zero. d. the change in observed X for a given change in Y. What does regression analysis attempt to establish? a. linearity in the relationship between independent variables b. a mathematical relationship between a dependent variable, for which future values will be forecast, and one or...