Source of variation Sum of Squares df Mean Squares F-ratio Regression 305.1 1 Residual 1247.3 24 Total (a) Complete the table (fill in the blanks, and show your work). (b) What is the R2 value?

A rural state wants to encourage high school graduates to continue their education and attend college.  The state collected information on a random sample of high school seniors from across the state 7 years ago and is now observing how many years of education they completed.  They believe students decide to achieve more education when they are more capable, have easier access to college education, and the opportunity cost of attending are lower.  To explore the factors that affect the years of education completed they have used multiple regression to estimate the years of completed education as a function of: Unemployment rate - the unemployment rate in the county (3.9 – 16.8) County Hr Wage - average starting hourly manufacturing wage in the county Test - student score on college admission test (0 to 100 scale) Dist to college - Distance to near college (measured in 100’s of miles) Tuition - Tuition charged at nearest state university (measured in $1000s)…

What is the difference between a Multiple Regression model and a Multivariate Regression model? Suppose a researcher wants to predict the probability of a patient being diagnosed with breast cancer given their be used? age, family history, and smoking status. What type of regression model should alsboin sisiurviluM bae alqiluM alm?

For a simple linear regression model, if the coefficient of correlation is 0.75, what does the coefficient of determination equal?

Seven North American Green Frogs (Rana clamitans) had their jumping distance recorded (in mm) multiple times in a laboratory. The mean jumping distance for these frogs along with their length (measured from snout to vent in miMillimeters) are presented in the table below. Length of Frog 52 68 37 65 77 81 59 Mean Jumping Distance  546 673 415 659 793 814 563   (a) Determine the linear regression model that will best predit the mean jumping distance of a North American Green Frog based on the frog's length. (b) How well does the linear regression model fit this sample data? (c) Use the linear regression model to predict the mean jumping distance of a North American Green Frog that is 48 mm in length. No excel, please.

In a study of housing demand, the county assessor is interested in developing a regression model to estimate the market value (i.e., selling price) of residential property within his jurisdiction. The assessor feels that the most important variable affecting selling price (measured in thousands of dollars) is the size of house (measured in hundreds of square feet). He randomly selected 15 houses and measured both the selling price and size, as shown in the following table. OBSERVATIONi SELLING PRICE (× $1,000)Y SIZE (× 100 ft2 )X 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 265.2 279.6 311.2 328.0 352.0 281.2 288.4 292.8 356.0 263.2 272.4 291.2 299.6 307.6 320.4 12.0 20.2 27.0 30.0 30.0 21.4 21.6 25.2 37.2 14.4 15.0 22.4 23.9 26.6 30.7 a. Plot the data.b. Determine the estimated regression line. Give an economic interpretation of the estimated slope (b) coefficient.c. Determine if size is a statistically significant variable in estimating selling price.d. Calculate the coefficient…

What is the differed annual expenditures of two families if their annual net incomes are differed by 2000? The computed regression line has a value of a=4.32 and b=2.12.

The graph shows a bivariate data set and its least squares regression line. Draw the residual plot for the same data set?

Discuss the advantages of using data collected from a designed experiment in performing a regression analysis.

As part of a study designed to compare hybrid and similarly equipped conventional vehicles, Consumer Reports tested a variety of classes of hybrid and all-gas model cars and sport utility vehicles (SUV’s). You are given the required information in the Excel data-file named HybridTest. Test for any significant effect due to Class, Type using multiple regressions. Create dummy variables for Class and Type. Use alpha=0.05 Make/Model Class Type MPG Honda Civic Small Car Hybrid 37 Honda Civic Small Car Conventional 28 Toyota Prius Small Car Hybrid 44 Toyota Corolla Small Car Conventional 32 Chevrolet Malibu Midsize Car Hybrid 27 Chevrolet Malibu Midsize Car Conventional 23 Nissan Altima Midsize Car Hybrid 32 Nissan Altima Midsize Car Conventional 25 Ford Escape Small SUV Hybrid 27 Ford Escape Small SUV Conventional 21 Saturn Vue Small SUV Hybrid 28 Saturn Vue Small SUV Conventional 22 Lexus RX Midsize SUV Hybrid 23 Lexus RX Midsize SUV Conventional 19…