Please show how to answer a), b), and c). 1. Suppose you have a simple linear regression model with 51 observations.(a) You know that the estimated error variance from a simple linear regression is2.04672. What is the sum of the squared residuals from your regression?(b) The estimated variance of b2 is 0.00098. What is the standard error of b₂?(c) Given the above information, what is Σ(x,- x)²?(d) Suppose the mean of x is 69.139 and the mean of y is 15.187. What is the estimateof the intercept parameter?(e) Based upon what you know from parts (b) and (d) above, what is Σx₂²?

In bi-variate data (x,y) where x is the independent variable and y is the dependent variable, one…

Answered: 1. Suppose you have a simple linear…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section: Chapter Questions

Problem 41RE: For the following exercises, consider the data in Table 5, which shows the percent of unemployed in...

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Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Based on the set of data given in Table 5, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Round to three decimal places of accuracy
For the following exercises, consider the data in Table 5, which shows the percent of unemployed in a city ofpeople25 years or older who are college graduates is given below, by year. 41. Based on the set of data given in Table 7, calculatethe regression line using a calculator or othertechnology tool, and determine the correlationcoefficient to three decimal places.
3. (a). Differentiate the different types of linear regression and describe the use of regression in geographical study. (b). Calculate the value of the slope, b, for observations of n = 22, r2 = 0.73, standard deviation of x = 2.3 and the regression sum of square = 1324.
41. Which of the following is the multiple regression model for the data? (a) y = -0.11050 + 2.10797x1 + 0.40717x2 (b) y = -0.11050 + 0.40717x1 + 2.10797x2 (c) y = 0.23563 + 0.00062x1 + 0.23626x2 (d) none (e) y = -0.44187 + 2.42120x1 + 0.36135x2
The flow rate in a device used for air quality measurement depends on the pressure drop x (inches of water) across the device's filter. Suppose that for x values between 5 and 20, these two variables are related according to the simple linear regression model with true regression line y = -0.11 + 0.097x. (a.1) What is the true average flow rate for a pressure drop of 10 in.?(a.2) A drop of 15 in.?(b) What is the true average change in flow rate associated with a 1 inch increase in pressure drop?(c) What is the average change in flow rate when pressure drop decreases by 5 in.?
A company has a set of data with employee age (X) and the corresponding number of annual on-the-job-accidents (Y). Analysis on the set finds that the regression equation is Y=60-0.5*X. What can be said of the correspondence (relation) between age and accidents? Are younger workers safer or more prone to accident? What is the likely number of accidents for someone aged 25?
2
The Linear regression is used to predict Y from X in a certain population. In this population, SSY is 50, the correlation between X and Y is .5, and N is 100. What will be the standard error of the estimate?
(a)For these data, mileages that are greater than the mean of the mileages tend to be paired with used selling prices that are ▼(Choose one) the mean of the used selling prices. (b)According to the regression equation, for an increase of one thousand miles in Cadet mileage, there is a corresponding decrease of how many thousand dollars in the used selling price? (c)From the regression equation, what is the predicted used selling price (in thousands of dollars) when the mileage is 18.2 thousand miles? (Round your answer to at least one decimal place.) (d)From the regression equation, what is the predicted used selling price (in thousands of dollars) when the mileage is 15.4 thousand miles? (Round your answer to at least one decimal place.)
The distance between the Y value in the data and the predicted Y value from the regression equation is known as the residual. What is the value for the sum of the squared residuals? a. SSresidual = r2(SSX) b. SSresidual = r2(SSY) c. SSresidual = (1 – r2)(SSX) d. SSresidual = (1 – r2)(SSY)

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