Exam 13: 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. = 30 = 104 = 40 = 178 = 134 Determine the value of the F statistic.

Regression Analysis The local grocery store wants to predict the daily sales in dollars.The manager believes that the amount of newspaper advertising significantly affects the store 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/Mega-Stat output given above summarizes the results of the regression model. Determine a 95% confidence interval estimate of the daily average store sales based on $3000 advertising expenditures? The distance value for this particular prediction is reported as .164.

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. = 30 = 104 = 40 = 178 = 134 Determine the standard error.

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 monthly tire sales (in thousands of tires)and monthly advertising expenditures (in thousands of dollars).The simple linear regression equation is = 3 + 1X.The dealer randomly selects one of the six observations with a monthly sales value of 8000 tires and monthly advertising expenditures of $7000.Calculate the value of the residual for this observation.

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

Consider the following partial computer output from a simple linear regression analysis. S = 0.4862 R-Sq = ______ Analysis of Variance What is the unexplained variance?

The error term is the difference between an individual value of the dependent variable and the corresponding mean value of the dependent variable.

In simple regression analysis,the standard error is ___________ greater than the standard deviation of y values.

The least squares regression line minimizes the sum of the

Consider the following partial computer output from a simple linear regression analysis. S = 0.4862 R-Sq = ______ Analysis of Variance Determine the 95% prediction interval for the mean value of y when x = 9.00 Givens: $\Sigma$ x = 129.03 and $\Sigma$ x² = 1178.547

In simple regression analysis,r² is a percentage measure and measures the proportion of the variation explained by the simple linear regression model.

Consider the following partial computer output from a simple linear regression analysis. S = 0.4862 R-Sq = ______ Analysis of Variance Calculate the t statistic used to test H₀: ₁ = 0 versus Ha: ₁ $\neq$ 0 at $\alpha$ = .001.

Consider the following partial computer output from a simple linear regression analysis with a sample size of 16 observations.Find the t test to test the significance of the model.

A data set with 7 observations yielded the following.Use the simple linear regression model. = 21.57 = 68.31 = 188.9 = 5,140.23 = 590.83 SSE = 1.06 Calculate the standard error.

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. = 30 = 104 = 40 = 178 = 134 Calculate the coefficient of determination.

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

In a simple linear regression model,the slope term is the change in the mean value of y associated with _____ in x.

The least squares simple linear regression line minimizes the sum of the vertical deviations between the line and the data points.

The simple linear regression model assumes there is a _____ 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.