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Business Statistics
Exam 13: Chi-Square Tests
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Question 101
Essay
Based on 25 time-ordered observations from a simple regression model,we have determined the Durbin-Watson statistic,d = 1.39.At α = .05,test to determine if there is any evidence of positive autocorrelation.State your conclusions.
Question 102
Essay
An experiment was performed on a certain metal to determine if the strength is a function of heating time.Results based on 10 metal sheets are given below.Use the simple linear regression model.
Calculate the 95 percent confidence interval for the slope.
Question 103
Essay
An experiment was performed on a certain metal to determine if the strength is a function of heating time.Results based on 10 metal sheets are given below.
Using the simple linear regression model,find the estimated y-intercept.
Question 104
True/False
The error term is the difference between an individual value of the dependent variable and the corresponding mean value of the dependent variable.
Question 105
Essay
Regression Analysis
A local grocery store wants to predict its daily sales in dollars.The manager believes that the amount of newspaper advertising significantly affects sales.He randomly selects 7 days of data consisting of daily grocery store sales (in thousands of dollars)and advertising expenditures (in thousands of dollars).The Excel/MegaStat output given above summarizes the results of the regression model.What is the estimated simple linear regression equation?
Question 106
Multiple Choice
The least squares regression line minimizes the sum of the
Question 107
Short Answer
Consider the following partial computer output from a simple linear regression analysis.
What is the estimated slope?
Question 108
Essay
An experiment was performed on a certain metal to determine if the strength is a function of heating time.Results based on 10 metal sheets are given below.Use the simple linear regression model.
Determine the standard error.
Question 109
True/False
The correlation coefficient is the ratio of explained variation to total variation.
Question 110
Essay
Consider the following partial computer output from a simple linear regression analysis.
Calculate the t statistic used to test H
0
: β
1
= 0 versus H
a
: β
1
≠ 0 at α = .001.
Question 111
True/False
When there is positive autocorrelation,over time,negative error terms are followed by positive error terms and positive error terms are followed by negative error terms.
Question 112
Essay
An experiment was performed on a certain metal to determine if the strength is a function of heating time.The sample size consists of 10 metal sheets.The simple linear regression equation is = 1 + 1X.The time is in minutes and the strength is measured in pounds per square inch.One of the 10 metal sheets was heated for 4 minutes and the resulting strength was 6 lb per square inch.Calculate the value of the residual for this observation.
Question 113
Essay
The following results were obtained from a simple regression analysis.Ŷ = 37.2895 − 1.2024X r
2
= .6744 s
b
= .2934 For each unit change in X (independent variable),what is the estimated change in Y (dependent variable)?