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Exam 14: Simple Linear Regression

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Question 61

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If the coefficient of determination is equal to 1, then the coefficient of correlation

A) must also be equal to 1
B) can be either -1 or +1
C) can be any value between -1 to +1
D) must be -1

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Question 62

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Part of an Excel output relating X (independent variable) and Y (dependent variable) is shown below. Fill in all the blanks marked with "?".

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Question 63

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

If the coefficient of correlation is 0.90, then the coefficient of determination

The owner of a bakery wants to analyze the relationship between the expenditure of a customer and the customer's income. A sample of 5 customers is taken and the following information was obtained. The least squares estimated line is = 4.348 + 0.0826 X. a.Obtain a measure of how well the estimated regression line fits the data. b.You want to test to see if there is a significant relationship between expenditure and income at the 5% level of significance. Be sure to state the null and alternative hypotheses. c.Construct a 95% confidence interval estimate for the average expenditure for all customers with an income of $20,000. d.Construct a 95% confidence interval estimate for the expenditure of one customer whose income is $20,000.

Exhibit 14 - 1 The following information regarding a dependent variable (Y) and an independent variable (X) is provided. SSE = 6 SST = 16 -Refer to Exhibit 14-1. The least squares estimate of the Y intercept is

Exhibit 14 - 1 The following information regarding a dependent variable (Y) and an independent variable (X) is provided. SSE = 6 SST = 16 -Refer to Exhibit 14-1. The coefficient of correlation is

The following data represent a company's yearly sales volume and its advertising expenditure over a period of 8 years. a. Develop a scatter diagram of sales versus advertising and explain what it shows regarding the relationship between sales and advertising. b. Use the method of least squares to compute an estimated regression line between sales and advertising. c. If the company's advertising expenditure is $400,000, what are the predicted sales? Give the answer in dollars. d. What does the slope of the estimated regression line indicate? e. Compute the coefficient of determination and fully interpret its meaning. f. Use the F test to determine whether or not the regression model is significant at $\alpha$ = 0.05.

The standard error is the

Exhibit 14 - 1 The following information regarding a dependent variable (Y) and an independent variable (X) is provided. SSE = 6 SST = 16 -Refer to Exhibit 14-1. The MSE is

In regression analysis, the independent variable is

A regression analysis between sales (Y in $1000) and advertising (X in dollars) resulted in the following equation = 30,000 + 4 X The above equation implies that an

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

In a simple regression analysis (where Y is a dependent and X an independent variable) , if the Y intercept is positive, then

The interval estimate of the mean value of y for a given value of x is

If the coefficient of correlation is a positive value, then the regression equation

If there is a very weak correlation between two variables, then the coefficient of determination must be

Shown below is a portion of a computer output for a regression analysis relating supply (Y in thousands of units) and unit price (X in thousands of dollars). a. What has been the sample size for this problem? b. Perform a t test and determine whether or not supply and unit price are related. Let $\alpha$ = 0.05. c. Perform and F test and determine whether or not supply and unit price are related. Let $\alpha$ = 0.05. d. Compute the coefficient of determination and fully interpret its meaning. Be very specific.e. Compute the coefficient of correlation and explain the relationship between supply and unit price.f. Predict the supply (in units) when the unit price is $50,000.

Exhibit 14-9 A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x) . -Refer to Exhibit 14-9. The sum of squares due to regression (SSR) is

Shown below is a portion of a computer output for a regression analysis relating Y (demand) and X (unit price). a.Perform a t test and determine whether or not demand and unit price are related. Let $\alpha$ = 0.05. b.Perform an F test and determine whether or not demand and unit price are related. Let $\alpha$ = 0.05. c.Compute the coefficient of determination and fully interpret its meaning. Be very specific. d.Compute the coefficient of correlation and explain the relationship between demand and unit price.