Page 1 Regression 1 (87.1) The simple linear regression models [1] A statistical

Question

Page 1 Regression 1 (87.1) The simple linear regression models [1] A statistical procedure Iucan be used to develop . The edor nvariable yr Variable being predicted. The variable ,: Variable used to predict the values of y [2] In as regression, there is onlyvariable z. [ 3 ] In a-w regresekin, the nun. of the independent variable . A -The(related to *=the _ (related to the or the , ie. the value of y when --the- in the-of y associated with a which accounts for the variability in y that . -the . the be explained by the linear relationship between z and v [5 ] The parameter values are usually kown and must be using (7.2) ., “ estimator of y , to estimate connecting all V is called the = and 1 respectively. The Figure 7.1 [ 6] In Figure 7.2 . Panel A: increases slope bi: The mean value of V

Explanation / Answer

1) Statistical procedure called Linear Regression Model can be used to devlop an equation showing the relation between :

The Dependent and Target Variable : Y variable to be predicted

The independent or predictor variable : X to be used for predict the variable Y

2) In simple linear regression there is only one predictor variable X.

3) In simple linear regression there is only one Independent variable.

4)The Simple Regression equation :

Y = b0 + b1 * X + e

b0 , b1 are Intercept and coefficient (related to the simple regression model.)

b0 is the intercept on the y axis then value of Y is increase or decreases it's depend on sign of intercept value

b1 is the slope in the model of Y associated with increase in multiple of predictor X.

e is the error which accounts for the variability in y that can be explained by the linear relationship between X and Y.

5) The parameter values are useully Unknowen and must be calculated using the fited regression model

Y^ = b0^ + b1^ * X

Y^ is the predicted estimator of Y

b0^ , b1^ are the intercept and slope to estimates of b0 and b1

The Model connecting all Y^ are called the fitted model

6) Part A : For possitive slope b1 the mean Y value increases if increases in X

Part B : For negative slope b1 the mean Y value decreases when increases in X

Panel C : b1 = 0 : The mean value of y is unchanged du to X.

>>>>>>>>>>>>>>> Best Luck >>>>>>>>>>>>>>>>>

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.