Exam 14: Simple Linear Regression

Exhibit 14-5 The following information regarding a dependent variable (Y)and an independent variable (X)is provided. -Refer to Exhibit 14-5.The least squares estimate of the Y intercept is

The following data show the results of an aptitude test (Y)and the grade point average of 10 students. a.Develop a least squares estimated regression line. b.Compute the coefficient of determination and comment on the strength of the regression relationship. c.Is the slope significant? Use a t test and let $\alpha$ = 0.05. d.At 95% confidence,test to determine if the model is significant (i.e. ,perform an F test).

The mathematical equation relating the independent variable to the expected value of the dependent variable;that is,E(y)= $\beta$ ₀ + $\beta$ ₁x,is known as

In regression analysis,if the independent variable is measured in pounds,the dependent variable

The owner of a retail store randomly selected the following weekly data on profits and advertising cost. a.Write down the appropriate linear relationship between advertising cost and profits.Which is the dependent variable? Which is the independent variable? b.Calculate the least squares estimated regression line. c.Predict the profits for a week when $200 is spent on advertising. d.At 95% confidence,test to determine if the relationship between advertising costs and profits is statistically significant. e.Calculate the coefficient of determination.

In a regression analysis,the regression equation is given by y = 12 - 6x.If SSE = 510 and SST = 1000,then the coefficient of correlation is

The following data represent the number of flash drives sold per day at a local computer shop and their prices. a.Perform an F test and determine if the price and the number of flash drives sold are related.Let $\alpha$ = 0.01. b.Perform a t test and determine if the price and the number of flash drives sold are related.Let $\alpha$ = 0.01.

Exhibit 14-2 You are given the following information about y and x. -Refer to Exhibit 14-2.The sample correlation coefficient equals

Shown below is a portion of a computer output for a regression analysis relating Y (dependent variable)and X (independent variable). a.Perform a t test using the p-value approach and determine whether or not Y and X are related.Let $\alpha$ = 0.05. b.Using the p-value approach,perform an F test and determine whether or not X and Y are related. c.Compute the coefficient of determination and fully interpret its meaning.Be very specific.

In a regression analysis,the coefficient of determination is 0.4225.The coefficient of correlation in this situation is

In a regression analysis the standard error is determined to be 4.In this situation the MSE

In a regression analysis,the coefficient of correlation is 0.16.The coefficient of determination in this situation is

Exhibit 14-3 You are given the following information about y and x. -Refer to Exhibit 14-3.The sample correlation coefficient equals

Exhibit 14-8 The following information regarding a dependent variable Y and an independent variable X is provided -Refer to Exhibit 14-8.The sum of squares due to error (SSE)is

In a regression analysis,the error term $\varepsilon$ is a random variable with a mean or expected value of

It is possible for the coefficient of determination to be

Exhibit 14-8 The following information regarding a dependent variable Y and an independent variable X is provided -Refer to Exhibit 14-8.The total sum of squares (SST)is

Regression analysis was applied between sales (in $10,000)and advertising (in $100)and the following regression function was obtained. = 50 + 8 X Based on the above estimated regression line if advertising is $1,000,then the point estimate for sales (in dollars)is

The model developed from sample data that has the form of Is known as

In regression analysis,which of the following is not a required assumption about the error term $\varepsilon$ ?