Question

In: Statistics and Probability

Using the Excel file Weddings, apply the Regression tool using the wedding cost as the dependent...

Using the Excel file Weddings, apply the Regression tool using the wedding cost as the dependent variable and attendance as the independent variable.

  1. What is the regression model?

  2. Interpret all key regression results, hypothesis tests, and confidence intervals in the output.

  3. If a couple is planning a wedding for 175 guests, how much should they budget?

  4. Couple's Income Bride's age Payor Wedding cost Attendance Value Rating
    $130,000 22 Bride's Parents $60,700.00 300 3
    $157,000 23 Bride's Parents $52,000.00 350 1
    $98,000 27 Bride & Groom $47,000.00 150 3
    $72,000 29 Bride & Groom $42,000.00 200 5
    $86,000 25 Bride's Parents $34,000.00 250 3
    $90,000 28 Bride & Groom $30,500.00 150 3
    $43,000 19 Bride & Groom $30,000.00 250 3
    $100,000 30 Bride & Groom $30,000.00 300 3
    $65,000 24 Bride's Parents $28,000.00 250 3
    $78,000 35 Bride & Groom $26,000.00 200 5
    $73,000 25 Bride's Parents $25,000.00 150 5
    $75,000 27 Bride & Groom $24,000.00 200 5
    $64,000 25 Bride's Parents $24,000.00 200 1
    $67,000 27 Groom's Parents $22,000.00 200 5
    $75,000 25 Bride's Parents $20,000.00 200 5
    $67,000 30 Bride's Parents $20,000.00 200 5
    $62,000 21 Groom's Parents $20,000.00 100 1
    $75,000 19 Bride's Parents $19,000.00 150 3
    $52,000 23 Bride's Parents $19,000.00 200 1
    $64,000 22 Bride's Parents $18,000.00 150 1
    $55,000 28 Bride's Parents $16,000.00 100 5
    $53,000 31 Bride & Groom $14,000.00 100 1
    $62,000 24 Bride's Parents $13,000.00 150 1
    $40,000 26 Bride's Parents $7,000.00 50 3
    $45,000 32 Bride & Groom $5,000.00 50 5

Solutions

Expert Solution

The output is:

The regression model is:

y = 1906 + 130*x

The hypothesis being tested is:

H0: β1 = 0

H1: β1 ≠ 0

The p-value is 0.000.

Since the p-value (0.000) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that the model is significant.

53.8% of the variation in the model is explained.

The 95% confidence interval for the slope is between 78.0799 and 182.1626.

Budget = 1906 + 130*175 = 24656


Related Solutions

create a regression model for the Wedding Cost data set, using Wedding Cost as the dependent...
create a regression model for the Wedding Cost data set, using Wedding Cost as the dependent variable, and all other variables as independent variables. Try whether the Bride and Groom were payors for the wedding, and at least one additional interaction term in the model. Do that by Excel Couple's Income Bride's age Payor Wedding cost Attendance Value Rating $130,000 22 Bride's Parents $60,700.00 300 3 $157,000 23 Bride's Parents $52,000.00 350 1 $98,000 27 Bride & Groom $47,000.00 150...
A random sample of 20 recent weddings in a country yielded a mean wedding cost of...
A random sample of 20 recent weddings in a country yielded a mean wedding cost of $26,327.16 Assume that recent wedding costs in this country are normally distributed with a standard deviation of $8,100 Complete parts​ (a) through​ (c) below. a. Determine a​ 95% confidence interval for the mean​ cost, muμ​, of all recent weddings in this country. The​ 95% confidence interval is from ????? ​(Round to the nearest cent as​ needed.)
Use Excel to develop a regression model for the Hospital Database (using the “Excel Databases.xls” file...
Use Excel to develop a regression model for the Hospital Database (using the “Excel Databases.xls” file on Blackboard) to predict the number of Personnel by the number of Births. Perform a test of the overall model, what is the value of the test statistic? Write your answer as a number, round your answer to 2 decimal places. SUMMARY OUTPUT Regression Statistics Multiple R 0.697463374 R Square 0.486455158 Adjusted R Square 0.483861497 Standard Error 590.2581194 Observations 200 ANOVA df SS MS...
Using Excel generate a simple regression model with Y as the dependent variable and X1 and...
Using Excel generate a simple regression model with Y as the dependent variable and X1 and X2 as the independent variables in the attached spreadsheet. Write the following from the output: Intercept: Coefficients of Independent variable: R-square: Significance F: Based on the model generated, forecast profits for a firm with X1= Based on the model generated, forecast profits for a firm with x1=250 and X2=100. Evaluate the predictability of the model using explanatory language that someone who does not have...
Using the data in the Excel file under the tab Problem1, develop a regression equation for...
Using the data in the Excel file under the tab Problem1, develop a regression equation for a country’s lung cancer death rate based on cigarette consumption. Is this a good regression model?  Why or why not? If Cigarette Consumption was 725, what would you predict the Lung Cancer Death Rate to be? Using your regression model, what is the Residual Value for Finland? Do you think there are any outliers in the model?  If so, what would you do with them? Country...
Using the data in the Excel file Home Market Value, develop a multiple regression model for...
Using the data in the Excel file Home Market Value, develop a multiple regression model for estimating the market value as a function of house age and house size. Predict the value of a house that is 30 years old and has 1800 square feet, and also predict the value of a house that is 5 years old and has 2800 square feet. Conduct your analysis using the following Multiple Regression Model Building and Interpretation Rubric: Identify the dependent variable...
Using Multiple Regression Results to Construct and Apply a Cost Formula The controller for Dohini Manufacturing...
Using Multiple Regression Results to Construct and Apply a Cost Formula The controller for Dohini Manufacturing Company felt that the number of purchase orders alone did not explain the monthly purchasing cost. He knew that nonstandard orders (for example, one requiring an overseas supplier) took more time and effort. He collected data on the number of nonstandard orders for the past 12 months and added that information to the data on purchasing cost and total number of purchase orders. Month  ...
Run a linear regression using Excel’s Data Analysis regression tool. Construct the linear regression equation and...
Run a linear regression using Excel’s Data Analysis regression tool. Construct the linear regression equation and determine the predicted total sales value if the number of promotions is 6. Is there a significant relationship? Clearly explain your reasoning using the regression results. Number of Promotions Total Sales 3 2554 2 1746 11 2755 14 1935 15 2461 4 2727 5 2231 14 2791 12 2557 4 1897 2 2022 7 2673 11 2947 11 1573 14 2980
Shown below is a portion of an Excel output for regression analysis relating Y (dependent variable)...
Shown below is a portion of an Excel output for regression analysis relating Y (dependent variable) and X (independent variable). ANOVA df SS Regression 1 39947.80 Residual (Error) 10 8280.81 Total 11 48228.61 Coefficients Standard Error t Stat P-value Intercept 69.190 26.934 2.569 0.02795 X 2.441 0.351 6.946 0.00004 1.   What is the estimated regression equation that relates Y to X? (2 Points) 2.   Is the regression relationship significant? Use the p-value approach and alpha = 0.05 to answer this question. (2...
Using Regression Results to Construct and Apply a Cost Formula Dohini Manufacturing Company had the following...
Using Regression Results to Construct and Apply a Cost Formula Dohini Manufacturing Company had the following 12 months of data on purchasing cost and number of purchase orders. Month Purchasing Cost Number of Purchase Orders January $18,860 370 February 18,065 330 March 19,250 370 April 18,050 410 May 19,345 400 June 19,500 450 July 19,670 460 August 20,940 560 September 19,430 440 October 20,020 500 November 18,800 470 December 19,340 480 The controller for Dohini Manufacturing ran regression on the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT