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 analysis, when x = -1.2, the 95% confidence interval for is (42, 5B). Give an interval (there are multiple answers that can be correct) that could be the 95% prediction interval for y when x = -12. Explain why your answer works.

You have quarterly time series data and you want to develop a model that will allow you to make forecasts for the next four quarters. Should you use a moving average model a simple exponential smoothing model or a regression model? Why?

In a regression analysis, you get r^2 = 0.40. What does this tell you about the mathematical relationship of SSE and SSR? How do you know?

Expert Solution

orchestra answered 1 year ago

What is a simple linear regression model? What does the value of the linear correlation coefficient...

What is a simple linear regression model? What does the value of the linear correlation coefficient tell us? Please type the answer as I have diffculties understanding handwritten answers. Thanks.

Suppose you estimate a simple linear regression model and obtain a t-value for the slope coefficient...

Suppose you estimate a simple linear regression model and obtain a t-value for the slope coefficient of -3.1. Based on this, explain which of the following statements are correct or wrong: a) A 95% confidence interval for the true slope would exclude 0. b) It is possible that the point estimate for the slope is b_1=4. c) At the 10% level of significance you fail to reject the null hypothesis that the true slope is equal to 0. d) The...

(Regression Analysis) Consider the simple linear regression model (I) and the corresponding scatter plot with the...

(Regression Analysis) Consider the simple linear regression model (I) and the corresponding scatter plot with the covariates XX (x-axis) vs residuals (y-axis). What model assumption violations can be diagnosed by this scatter plot?

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...

In simple linear regression, r 2 is the _____. a. coefficient of determination b. coefficient of...

In simple linear regression, r 2 is the _____. a. coefficient of determination b. coefficient of correlation c. estimated regression equation d. sum of the squared residuals QUESTION 3 A least squares regression line ______. a. may be used to predict a value of y if the corresponding x value is given b. implies a cause-effect relationship between x and y c. can only be determined if a good linear relationship exists between x and y d. All of the...

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?

A linear correlation coefficient of 0.92 suggests a ________________ linear relationship than a linear correlation coefficient...

A linear correlation coefficient of 0.92 suggests a ________________ linear relationship than a linear correlation coefficient of -0.86. The value of the ___________________ always lies between -1 and 1, inclusive. If the linear correlation coefficient of the regression line is negative, then the ____________________ of the least squares (linear) regression line must be negative. Give a detailed interpretation of the slope of a least squares (linear) regression line. Give a detailed interpretation of the intercept of a least squares (linear)...

Determine and interpret the linear correlation coefficient, and use linear regression to find a best fit...

Determine and interpret the linear correlation coefficient, and use linear regression to find a best fit line for a scatter plot of the data and make predictions. Scenario According to the U.S. Geological Survey (USGS), the probability of a magnitude 6.7 or greater earthquake in the Greater Bay Area is 63%, about 2 out of 3, in the next 30 years. In April 2008, scientists and engineers released a new earthquake forecast for the State of California called the Uniform...

How is a linear regression analysis is different from a correlation analysis?

You will complete a question about Correlation Examples and complete a Simple Linear Regression. For the...

You will complete a question about Correlation Examples and complete a Simple Linear Regression. For the Simple Linear Regression, make sure to complete the following steps: Construct a scatter plot. Find the equation of the regression line. Predict the value of y for each of the x-values. Use this resource: Regression Give an example of two variables that have a positive linear correlation. Give an example of two variables that have a negative linear correlation. Give an example of two...

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