The following information pertains to data that have been gathered in the process of estimating a simple least squares regression:Mean value of the dependent variable30Mean value of the independent variable10Coefficient of the independent variableNumber of observations12What is the "a" value for the least squares regression model? Tomas Ocampo has just been appointed chairperson of the Accountancy Department of ADEB College. In reviewing the department'scost records, Tomas has found the following total cost associated with MAS Part 2 subject over the last several terms:Number of SubjectsOfferedSemester/TermTotal CostAY2004, FirstP10,000SemesterAY2004, SecondSemester14,000AY2004, Summer7,000AY2005, FirstSemester13,000AY2005, Second39.500SemesterTomas knows that there are some variable costs, such as amounts paid to student assistants, associated with the couse. He wouldiketo have variable and fixed cost components separated for planninx.purooses.Using the least-squares method what is the variable cost per section of MAS

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The scatterplot below displays the relationship between two quantitative variables, x and y. The equation of the least-squares regression line is y = 15.682 + 5.767x. (a) What is the correlation coefficient? Say you add a data point at the coordinates (20, 30) to the scatterplot. (b) What effect would this point have on the correlation? c) What effect would this point have on the y-intercept and the least-squares regression line?
Statistical Analysis (You may use excel but please show the process. No long explanation needed. Rate will be given) Solve for the following: a. Fit the simple linear regression model using the method of least squares b. Find an estimate of standard deviation c. Estimate the mean chloride concentration for a watershed that has 1% roadway area
An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts (a) through (d) below. LOADING... Click here to view the weight and gas mileage data. Question content area bottom Part 1 (a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. ModifyingAbove y with caretyequals=negative 0.00756−0.00756xplus+(44.844.8) (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) Part 2 (b) Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice. (Use the answer from part a to find this answer.) A. For every pound added to the weight of the car, gas mileage in the…
us the least-squares regression method to solve for accidents in May.
The weight (in pounds) and height (in inches) for a child were measured every few months over a two-year Using technology, what is the slope of the least-squares regression line and what is its interpretation? period. The results are given in the table. The slope is 1.98, which means for each additional 35 inch in height, the child's weight will increase by 1.98 Weight (x) 8. 12 18 24 30 32 37 40 30 32 33 36 38 pounds. Helght (v) 22 23 26 35 The slope is 1.98, which means for each additional inch in height, the child's weight is predicted to increase by 1.98 pounds. The slope is 0.50, which means for each additional pound in weight, the child's height will increase by 0.5 inches. The slope is 0.50, which means for each additional pound in weight, the child's height is predicted to increase by 0.5 inches.
Interpret the estimated education coefficient. Is the estimate of the constant statistically significant at the 5% level? Explain how you reached this conclusion. Imagine you want to test with an F-test whether the effect of married and nonwhite are jointly significantly different from zero. Write down the null and alternative hypothesis for such a test
Answer the following questions regarding the two variables under consideration in a regression analysis. a. What is the dependent variable called? b. What is the independent variable called? What other name(s) refer(s) to the dependent variable? Select all that apply. outlier explanatory extrapolation least-squares What other name(s) refer(s) to the independent variable? Select all that apply. least-squares predictor extrapolation influential error response predictor influential error response explanatory outlier
An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts (a) through (d) below. LOADING... Click here to view the weight and gas mileage data. Question content area bottom Part 1 (a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. ModifyingAbove y with caretyequals=negative 0.00756−0.00756xplus+(44.844.8) (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) Part 2 (b) Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice. (Use the answer from part a to find this answer.) A. For every pound added to the weight of the car, gas mileage in the…
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