To help schedule staffing and equipment needs, a large hospital uses a multiple regression model to predict its 'bed census' y, the number of beds occupied at the end of each day. Using hospital records from the most recent 29 days, a total of 4 independent variables are used to find the estimated regression model. Let B,, B, ..., B, denote the coefficients of the 4 variables in this model. A computer printout indicates that the error sum of squares (SSE) associated with the model is 35.42 and the corresponding regression sum of squares (SSR) is 35.66. Using a significance level of 0.10, can you conclude that at least one of the independent variables in the model provides useful (i.e., statistically significant) information for predicting daily bed census? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (a) State the null hypothesis H, for the test. Note that the alternative B hypothesis H, is given. H, :0 H, : at least one of the independent variables is useful 믐 (b) Determine the type of test statistic to use. O=0 OSO (Choose one) ▼ O

To help schedule staffing and equipment needs, a large hospital uses a multiple regression model to predict its 'bed census' y, the number of beds occupied at the end of each day. Using hospital records from the most recent 29 days, a total of 4 independent variables are used to find the estimated regression model. Let B,, B, ..., B, denote the coefficients of the 4 variables in this model. A computer printout indicates that the error sum of squares (SSE) associated with the model is 35.42 and the corresponding regression sum of squares (SSR) is 35.66. Using a significance level of 0.10, can you conclude that at least one of the independent variables in the model provides useful (i.e., statistically significant) information for predicting daily bed census? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (a) State the null hypothesis H, for the test. Note that the alternative B hypothesis H, is given. H, :0 H, : at least one of the independent variables is useful 믐 (b) Determine the type of test statistic to use. O=0 OSO (Choose one) ▼ O

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

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.

Question

To help schedule staffing and equipment needs, a large hospital uses a multiple regression model to predict its 'bed census' y, the number of beds occupied at
the end of each day. Using hospital records from the most recent 29 days, a total of 4 independent variables are used to find the estimated regression model.
Let B1, B2,
B, denote the coefficients of the 4 variables in this model. A computer printout indicates that the error sum of squares (SSE) associated with the
model is 35.42 and the corresponding regression sum of squares (SSR) is 35.66. Using a significance level of 0.10, can you conclude that at least one of the
independent variables in the model provides useful (i.e., statistically significant) information for predicting daily bed census?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places.
(a) State the null hypothesis H, for the test. Note that the alternative
hypothesis H, is given.
0.
H, : at least one of the independent variables is useful
(b) Determine the type of test statistic to use.
O=0
OSO
(Choose one)
O#0
O<O
O>O
(c) Find the value of the test statistic. (Round to two or more decimal places.)
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can you conclude that at least one of the independent variables in the model
provides useful information for predicting daily bed census?
Yes No

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