Suppose the athletic director at a university would like to develop a regression model to predict the point differential for games played by the men's basketball team. A point differential is the difference between the final points scored by two competing teams. A positive differential is a win, and a negative differential is a loss. For a random sample of games, the point differential was calculated, along with the number of assists, rebounds, turnovers, and personal fouls. Use the data in the accompanying table attached below to complete parts a through e below. Assume a = 0.05. a) Using technology, construct a regression model using all three independent variables. y = __ + (_)x1 + (_)x2 + (_)x3 + (_)x4 b) Test the significance of each independent variable using a= 0.10. c) interpret the p-value for each independent variable.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Suppose the athletic director at a university would like to develop a regression model to predict the point differential for games played by the men's basketball team. A point differential is the difference between the final points scored by two competing teams. A positive differential is a win, and a negative differential is a loss. For a random sample of games, the point differential was calculated, along with the number of assists, rebounds, turnovers, and personal fouls. Use the data in the accompanying table attached below to complete parts a through e below. Assume a = 0.05.
a) Using technology, construct a regression model using all three independent variables.
y = __ + (_)x1 + (_)x2 + (_)x3 + (_)x4
b) Test the significance of each independent variable using a= 0.10.
c) interpret the p-value for each independent variable.
d) Construxt a 90% confidence interval for the regression coefficients for each independent variable and interpret the meaning.
e) Using the results from part d, comment on the significance of the Personal Fouls variable.
I have a lot of these types of questions to answer, yet I mess up multiple steps. Can i have some help on this please!
![**Regression Model for Predicting Basketball Game Point Differential**
The athletic director at a university aims to develop a regression model to predict the point differential for games played by the men's basketball team. The point differential is the score difference between two competing teams: a positive differential indicates a win, while a negative differential signifies a loss.
**Data Collection:**
For a random sample of games, the following factors were considered:
- Number of assists
- Rebounds
- Turnovers
- Personal fouls
**Objectives:**
1. Use the sample data to build a regression model for predicting the point differential.
2. Assume a significance level of α = 0.05.
**Instruction:**
Click the provided icon to access the data table from the men's basketball team.
**Task (a):**
Using technology, construct a regression model with all three independent variables.
The regression equation will take the following form:
\[ \hat{y} = \text{coefficient}_1 + (\text{coefficient}_2) x_1 + (\text{coefficient}_3) x_2 + (\text{coefficient}_4) x_3 + (\text{coefficient}_5) x_4 \]
**Note:**
Round all your answers to three decimal places as necessary.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40221bcd-c668-490f-a9c5-85d791c1c431%2Fccdcb3dc-2409-41e6-8c52-cfe0f8ae7598%2F6lpsmgc_processed.jpeg&w=3840&q=75)
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
