Exam 14: Simple Linear Regression Analysis

In a simple regression analysis for a given data set,if the null hypothesis β = 0 is rejected,then the null hypothesis ρ = 0 is also rejected.This statement is ___________ true.

An experiment was performed on a certain metal to determine if the strength is a function of heating time.The 95 percent prediction interval for the strength of a metal sheet when the average heating time is 4 minutes is from 3.235 to 6.765.We are 95 percent confident that an individual sheet of metal heated for four minutes will have strength of at least 4 pounds per square inch.Do you agree with this statement?

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

The standard error of the estimate (standard error)is the estimated standard deviation of the distribution of the independent variable (X)for all values of the dependent variable (Y).

If the Durbin-Watson statistic is greater than (4 - d_L),then we conclude that:

In a simple linear regression model,the intercept term is the mean value of y when x equals _____.

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

A simple linear regression model is an equation that describes the straight-line relationship between a dependent variable and an independent variable.

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 equation of the least squares line is ŷ = 3 + 1x.

The experimental region is the range of the previously observed values of the dependent variable.

The _____________ measures the strength of the linear relationship between the dependent variable and the independent variable.

If successive values of the residuals are close together,then there is a ___________ autocorrelation,and the value of the Durbin-Watson statistic is _________.

The strength of the relationship between two quantitative variables can be measured by:

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

A data set with 7 observations yielded the following.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.

An experiment was performed on a certain metal to determine if the strength is a function of heating time.Partial results based on a sample of 10 metal sheets are given below.The simple linear regression equation is

An experiment was performed on a certain metal to determine if the strength is a function of heating time.Partial results based on a sample of 10 metal sheets are given below.The simple linear regression equation is

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.

When the constant variance assumption holds,a plot of the residual versus x: