Suppose that a simple linear regression model is appropriate for describing the relationship between y = house price (in dollars) and x = house size (in sq. ft.) for houses in a large city. The population regression line is y = 22,500 + 48x and σ = 4,000.
a) What is the average change in price associated with one extra sq. ft. of space? $
What is the average change in price associated with an additional 100 sq. ft. of space? $
b) Approximately what proportion of 2,000 sq. ft. homes would be priced over $120,000? (Round your answer to four decimal places.)
Approximately what proportion of 2,000 sq. ft. homes would be priced under $110,000? (Round your answer to four decimal places.)
Suppose that a simple linear regression model is appropriate for describing the relationship between y =...
Suppose that a simple linear regression model is appropriate for describing the relationship between y = house price and x = house size (sq ft) for houses in a large city. The true regression line is y = 22,500 + 46x and σ = 5000. (a) What is the average change in price associated with one extra sq ft of space? With an additional 100 sq ft of space? (b) What proportion of 2000 sq ft homes would be priced...
a) The simple linear regression equation that shows the best relationship between the number of patients and year is (round your responses to three decimal places). y= _ + _x b) Using linear regression the number of patients Dr. Fok will see in year 11 = _____ patients (round your response to two decimal places). c) Using linear regression, the number of patients Dr. Fok will see in year 12 = _____ patients. (round your response to two decimal places)....
1. One Price Realty Company wants to develop a model to estimate the value of houses in its inventory The office manager has decided to develop a multiple regression model to help explain the variation in house values. (25 points) The office manager has chosen the following variables to develop the model: X1 square feet X2- age in years x3- dummy variable for house style (1 if ranch, 0 if not) X4-2d dummy variable for house style (I if split...
A local realtor wishes to study the relationship between selling price (in $) and house size (in square feet). A sample of 10 homes is selected at random. The data is given below: PRICE HOUSESIZE 100000 1600 107000 1750 121000 1900 124000 2150 132000 2400 140000 2300 144000 2400 158000 2700 170000 3000 182000 2900 a) Find the regression equation relating Price to Square Footage. b) Calculate the correlation coefficient, accurate to three decimal places c) Test the significance of...
a. If you decided to fit the simple linear regression model to this data, what proportion of observed variation in maximum prevalence could be explained by the model relationship? (Round your answer to three decimal places.) b. If you decided to regress UV transparency index on maximum prevalence (i.e., interchange the roles of x and y), what proportion of observed variation could be attributed to the model relationship? (Round your answer to three decimal places.) c. Carry out a test...
In a simple linear regression, the following information is given: x−x− = −39; y− y− = 40; Σ(xi−x− )(yi− y−)= −840;Σ(xi−x− )(yi− y−)= −840; Σ(xi− x−)2= 718Σ(xi− x−)2= 718 a. Calculate b1. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) b1 b. Calculate b0. (Round intermediate calculations to 4 decimal places and final answer to 2 decimal places.) b0 c-1. What is the sample regression equation? (Negative value should be...
A real estate company wants to study the relationship between house sales prices and some important predictors of sales prices. Based on data from recently sold homes in the area, the variables y = sales price (in thousands of dollars) x, = total floor area (in square feet) X = number of bedrooms Xz = distance to nearest high school in miles) are used in a multiple regression model. The estimated model is y = 86+0.082x, +15x2 - 6xz. Answer...
What is the relationship between the assessed value of houses and heating area of those houses? The file "House2", which is available in a separate item on this Blackboard page, contains the assessed value (in thousands of $) for a house and the square footage of heating area (in thousands of sq. ft.). Using Excel create a simple linear regression to predict the value of a house using the square footage of heated area as the independent variable (in appropriate...
A real estate company wants to study the relationship between house sales prices and some important predictors of sales prices. Based on data from recently sold homes in the area, the variables y - sales price (in thousands of dollars) Xy - total floor area (in square feet) = number of bedrooms *; - distance to nearest high school (in miles) are used in a multiple regression model. The estimated modelis 9 – 188+0.073x, +21x2 - 6x3 50 00 Answer...
A real estate company wants to study the relationship between house sales prices and some important predictors of sales prices. Based on data from recently sold homes in the area, the variables y= sales price (in thousands of dollars) * " total floor area (in square feet) * number of bedrooms X; - distance to nearest high school (in miles) are used in a multiple regression model. The estimated model is 9 - 79+0,065x + 25x2 - 7*3 Answer the...