Exam 14: Simple Linear Regression Analysis

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

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.

If one of the assumptions of the regression model is violated,performing data transformations on the ____________ can remedy the situation.

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.

The following results were obtained as a part of simple regression analysis: R² = .9162 F statistic from the F table = 3.59 Calculated value of F from the ANOVA table = 81.87 Α = .05 P-value = .000 The null hypothesis of no linear relationship between the dependent variable and the independent variable:

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

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

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.

Regression Analysis The local grocery store wants to predict its daily sales in dollars.The manager believes that the amount of newspaper advertising significantly affects the store's 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. If the manager decides to spend $3000 on advertising,based on the simple linear regression results given above,what are the estimated sales?

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.

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

For a given data set,specific value of X,and confidence level,if all the other factors are constant,the confidence interval for the mean value of Y will ___________ be wider than the corresponding prediction interval for the individual value of Y.

The following time-sequenced observations of actual and predicted values of the dependent variable (demand)are obtained from a simple regression model.Determine the Durbin-Watson statistic (d).

The notation Ŷ refers to the average value of the dependent variable Y.

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

The following results were obtained from a simple regression analysis: Ŷ = 37.2895 - (1.2024)X r² = .6744 s_b = .2934 What is the proportion of the variation explained by the simple linear regression model?

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

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