Question

Consider the following multiple regression model :

y hat = -6.72 + 0.51x1 - 0.69x2 + 1.452x3

a. What is the mean value of y when x1 = 9, x2 = 4, and x3 = 7?

b. write a sentence interpreting the value of ℬ2 hat = -0.69.

c. Would the mean value of y be larger or smaller if x2 wereincreased, but x1 and x3 were held constant? Explain in a few sentences.

d. If there were an interaction between x2 and x3, what additional predicator variable should be added to the model?

Step 1

The given multiple regression model is as follows:

Step 2

**Calculations for Part (a):**

It is given that the value of *x*_{1} is 9, the value of *x*_{2} is 4, and the value of *x*_{3} is 7.

The mean value of *y* is calculated as follows:

Step 3

**Interpretation of β2hat:**

Significance of the coefficient:

In a multiple regression function, the coefficient corresponding to a particular explanatory variable signifies the effect of that explanatory variable on the response variable, while the other explanatory variables are kept at a fixed level.

The slope gives the amount of change in the response variable for unit increase in the explanatory variable. A positive slope implies that the response variable increases with increase in the explanatory variable, whereas a negat...

Tagged in

Q: Is the national crime rate really going down? Some sociologists say yes! They say that the reason fo...

A: 1) Computation of test statistic:Here, the appropriate test to check whether the population proporti...

Q: Hi. I need help with part (d) and (e) The bond behavior of reinforcing bars is an important determin...

A: (d) The error standard deviation:The formula to estimate the standard deviation (σ) of the error (ε)...

Q: Using the accompanying table of data, blood platelet counts of women have a bell-shaped distribution...

A: In this question, it has been given that blood platelet counts of women have bell shaped distributio...

Q: You are asked to design a study to investigate the effectiveness of the Atkins diet (IV = diet, DV =...

A: Independent t test:Independent t test determines whether there is significant difference between the...

Q: BASED ON THIS DATA, what does the r^2 values tell you? and the linear regression line is the inform...

A: Note:Hi there! Thank you for posting the question! However, the circumstances of the study presented...

Q: See attachment for question.

A: Introduction to binomial distribution:Consider a random experiment involving n independent trials, s...

Q: How much money do winners go home with from the television quiz show Jeopardy? To determine an answe...

A: Solution:Confidence interval formula:Confidence interval = sample statistic ± margin of errorWhere, ...

Q: See attachment for question.

A: Given information:Here, it is given that Xi is a random variable.The probabilities of a random varia...

Q: Why should researchers be very cautious about comparison or correlatios that involve different vaiab...

A: In general correlation does not imply causation. If there is strong correlation between two variable...

Sorry about that. What wasn’t helpful?