Exam 14: Simple Linear Regression Analysis

When using simple regression analysis,if there is a strong correlation between the independent and dependent variables,then we can conclude that an increase in the value of the independent variable causes an increase in the value of the dependent variable.

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.

Consider the following partial computer output from a simple linear regression analysis.

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.Residuals are calculated for all 10 sheets and ordered from smallest to largest.Determine the normal point for the smallest residual.

When using simple linear regression,we would like to use confidence intervals for the ___________ and prediction intervals for the ___________ at a given value of x.

All of the following are assumptions of the error terms in the simple linear regression model except:

Consider the following partial computer output from a simple linear regression analysis.

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.

A local tire dealer wants to predict the number of tires sold each month.He believes that the number of tires sold is a linear function of the amount of money invested in advertising.He randomly selects 6 months of data consisting of tire sales (in thousands of tires)and advertising expenditures (in thousands of dollars).Based on the data set with 6 observations,the simple linear regression model yielded the following results.

A data set with 7 observations yielded the following.Use the simple linear regression model.

Complete the following partial ANOVA table from a simple linear regression analysis with a sample size of 16 observations.Find the F statistic to test the significance of the model.

The ____________________ is the proportion of the total variation in the dependent variable explained by the regression model.

In simple regression analysis,the quantity $\sum ( \hat { Y } - \bar { Y } ) ^ { 2 }$ Is called the __________ sum of squares.

In simple linear regression analysis,if the error terms exhibit a positive or negative autocorrelation over time,then the assumption of constant variance is violated.

An experiment was performed on a certain metal to determine if the strength is a function of heating time.The simple linear regression equation is

Consider the following partial computer output from a simple linear regression analysis.

The ___________ the r²,and the __________ the s (standard error),the stronger the relationship between the dependent variable and the independent variable.

The ____________ assumption requires that all variation around the regression line should be equal at all possible values (levels)of the independent variable.

The coefficient of determination measures the _____________ explained by the simple linear regression model.

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.