a) What is dependent and independent variables? b) Fully write out the regression equation. c) Fill in the missing values*, **', and d) Hence test whether & is significant. Give reasons for your

Write a multiple regression equation that can be used to analyze the data for a two-factorialdesign with two levels for factor A and three levels for factor B. Define all variables.

Write short note on regression line?

Interpret the regression coefficient of X3 in relation to the Y ( X3 unit is mile)  Y =  58.286 + 13.7604 * X3

Scenario: A medical researcher wishes to see whether there is a relationship between a person's age, cholesterol level, and systolic blood pressure. Eight people are randomly selected. The data is listed in the table. First, find the multiple regression equation. Next, determine the coefficient of determination. Then, use the regression equation to predict a person's blood pressure reading if the person selected is 50 years old with a cholesterol reading of 220. Age Cholesterol level Blood pressure Person 1 38 220 116 Person 2 41 225 120 Person 3 45 200 123 Person 4 48 190 131 Person 5 51 250 142 Person 6 53 215 145 Person 7 57 200 148 Person 8 61 170 150 Discussion Prompts Respond to the following prompts in your initial post: 1. Identify the explanatory variables and response variable for the data. 2. What is the multiple regression equation for the data? 3. What is the coefficient of determination? 4. If a person 50 years old with a cholesterol of 220 is selected, what is that…

How will I get output of linear regression formula? Thanks.

A business statistics professor would like to develop a regression model to predict the exam scores for students based on their current GPAs, the number of hours they studied for the exam, and the number of times they were absent during the semester.  The data for these variables can be found in this file. a) Run the multiple regression in Excel.  Hint: set x1 = GPA, x2 = Hours, X3 = Absences.      b) Find the R2 and explain its meaning.    c) Explain the outcome of the F test.  What does it mean?    d) Explain the outcomes of the t tests for the slope coefficients.   e) Write out the regression equation.   f)  Explain the meanings of the slope coefficients.

What do we mean when we say that a multiple regression model is a multiple linear regression model? What does “linear” mean here? Can we allow any “higher-order terms”? Explain.

What are the assumptions of multiple linear regressions only?

Jess is running a regression with 3 explanatory variables (also known as independent variables). If she adds another explanatory variable, what must happen? (Check all that apply.) 1-Adjusted R-squared decreases 2-Adjusted R-squared increases 3-The F Stat increases 4-R-squared increases