Question

In: Statistics and Probability

Use Excel to estimate a simple linear regression model for the following data (Y is a...

Use Excel to estimate a simple linear regression model for the following data (Y is a dependent variable and X is an independent variable):

Y X
0 -2
0 -1
1 0
1 1
3 2

Fill in Multiple Blanks:

What is the slope of the estimated line?  In your answer, show one (1) digit to the right of the decimal point, for example, 1.0, 1.2. Apply the appropriate rounding rule if necessary.

What is the Y-intercept?

Solutions

Expert Solution

Answers:

Slope = 0.7

Intercept = 1 or (1.0) Enter as appropriate

Excel Output:

Excel Steps:

1. Go to Data - Data Analysis - Regression

2. Enter the range of Y values.

3. Enter the range of X values.

4. Select where you want your output. Choose Current Sheet. Enter Cell Value where you want the output to start.

5. Click Ok.

6. The slope and Y-intercept are given in the coefficients tab as highlighted in Yellow.


Related Solutions

You will need to use Excel Regression Data Analysis to estimate the following linear model of...
You will need to use Excel Regression Data Analysis to estimate the following linear model of Texas Natural Gas Utility Residential Demand: (1) QRES = α + β1*PRES + β2*RES + β3*INCOME where QRES = Quantity demand (mcfs) of residential customers PRES = Price per mcf, RES = number of residential customers, INCOME = per capita income, The data below are actual publicly available residential demand data for city/town natural gas distribution utilities in Texas. You can copy and paste...
When we estimate a linear multiple regression model (including a linear simple regression model), it appears...
When we estimate a linear multiple regression model (including a linear simple regression model), it appears that the calculation of the coefficient of determination, R2, for this model can be accomplished by using the squared sample correlation coefficient between the original values and the predicted values of the dependent variable of this model. Is this statement true? If yes, why? If not, why not? Please use either matrix algebra or algebra to support your reasoning.
Estimate a simple linear regression model and present the estimated linear equation. Display the regression summary...
Estimate a simple linear regression model and present the estimated linear equation. Display the regression summary table and interpret the intercept and slope coefficient estimates of the linear model.                                                           Estimate a simple linear regression model and present the estimated linear equation. Display the regression summary table and interpret the intercept and slope coefficient estimates of the linear model.                                                           
Estimate a simple linear regression model and present the estimated linear equation. Display the regression summary...
Estimate a simple linear regression model and present the estimated linear equation. Display the regression summary table and interpret the intercept and slope coefficient estimates of the linear model.                                                           
9) Use the following data to estimate a linear regression equation between y and x. Interpret...
9) Use the following data to estimate a linear regression equation between y and x. Interpret the estimated slope coefficient. Predict y for an x value of 9. Calculate and interpret the model’s R-squared. x y 21 12 17 10 11 8 3 5 13 15
6. In the simple linear regression model, the y-intercept represents the: a. change in y per...
6. In the simple linear regression model, the y-intercept represents the:a. change in y per unit change in x.b. change in x per unit change in y.c. value of y when x=0.d. value of x when y=07. In the simple linear regression model, the slope represents the:a. value of y when x=0.b. average change in y per unit change in x.c. value of x when y=0.d. average change in x per unit change in y.8. In regression analysis, the residuals...
You are developing a simple linear regression analysis model. The simple correlation coefficient between y and...
You are developing a simple linear regression analysis model. The simple correlation coefficient between y and x is -0.72. What do you know must be true about b1. The least squares estimator of B1? Why? In a multiple linear regression analysis with k = 3. From the t test associated with B1, you conclude that B1 = 0. When you do the f test will you reject or fail to reject the null hypothesis? Why? In a simple bilinear regression...
In a simple linear regression analysis, will the estimate of the regression line be the same...
In a simple linear regression analysis, will the estimate of the regression line be the same if you exchange X and Y? Why or why not?
Using Excel generate a simple regression model with Y as the dependent variable and X1 and...
Using Excel generate a simple regression model with Y as the dependent variable and X1 and X2 as the independent variables in the attached spreadsheet. Write the following from the output: Intercept: Coefficients of Independent variable: R-square: Significance F: Based on the model generated, forecast profits for a firm with X1= Based on the model generated, forecast profits for a firm with x1=250 and X2=100. Evaluate the predictability of the model using explanatory language that someone who does not have...
Which of the following is the complete definition of the simple linear regression model?
Which of the following is the complete definition of the simple linear regression model?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT