Suppose the Sherwin-Williams Company is interested in developing a simple regression model with paint sales (Y) as the dependent variable andselling price (P) as the independent variable.Complete the following worksheet and then use it to determine the estimated regression line.Sales Regioni12345678910TotalSelling Price($/Gallon)Xi1513.516.514.5171613181215.5151Sales(x 1000 Gal)Yi1602201401901201602101502001901,740Regression Parameters EstimationsSlope (B)Intercept (a)xiyi2,4002,9702,3102,7552,0402,5602,7302,7002,4002,945x;²225182.25272.25210.25289256169324144240.252,312In words, for a dollar increase in the selling price, the expected sales willyi²25,60048,40019,60036,10014,40025,60044,10022,50040,00036,100bygallons in a given sales region.

Here the dependent variable (y) is paint sales.The independent variable (x) is the selling…

Answered: Complete the following worksheet and…

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 following data are the monthly salaries and the grade point averages for students who obtained a bachelor's degree in mathematics. GPA: 2.6, 3.4, 3.6, 3.2, 3.5, and 2.9; Monthly Salary: 330o, 3600, 4000, 3500, 3900, and 3600. Plot the scatter diagram showing the deviations about the estimated regression line and the line y = y(bar).
Please provide solution and logic for questions attached, thanks!
Which of the following is not one of the uses of a scatter plot and regression line a. to estimate the average y at a specific value of x. b. All three are uses of the scatterplot and regression line c. to determine if a change in x causes a change in y d. to predict y at a specific value of x.
Calculate the regression coefficient and obtain the lines of regression for the following data: USE MICROSOFT EXCEL
2. The scatter plot and curve of best fit show the relationship between the diameter of rain-collection barrels and the volume of water collected. Is this relation linear or non-linear? Justify your answer. VA Diameter Volume
The invasive diatom species Didymosphenia geminata has the potential to inflict substantial ecological and economic damage in rivers. An article described an investigation of colonization behavior. One aspect of particular interest was whether y = colony density was related to x = rock surface area. The article contained a scatterplot and summary of a regression analysis. Here is representative data. x 50 71 55 50 33 58 79 26 y 163 1940 59 33 13 16 46 18 69 44 37 70 20 45 49 y 280 49 182 24 54 196 36 (a) Fit the simple linear regression model to this data. (Round your numerical values to three decimal places.) y = Predict colony density when surface area = 70 and calculate the corresponding residual. (Round your answers colony density corresponding residual Predict colony density when surface area = 71 and calculate the corresponding residual. (Round your answers colony density corresponding residual How do the residuals compare? O The residuals for both points are negative. O The…
Graph the scatterplot and find the equation of the regression line GDP. CO2 emissions (in millions metric tons) 1.7. 552.6 1.2. 462.3 2.5. 475.4 2.8. 374.3 3.6. 748.5 2.2. 400.9 0.8. 253.0 1.5. 318.6 2.4. 496.8 5.9. 1180.6
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. Xx Y 11.8 14.1 11.5 9.8 7.1 6.2 6.5 x = thousands of automatic weapons y = murders per 100,000 residents 8.6 7 3.3 2.5 2.5 2.6 6 This data can be modeled by the equation y = 0.85x +4.07. Use this equation to answer the following; Answer decimal places. = A) How many murders per 100,000 residents can be expected in a state with 1.2 thousand automatic weapons? Answer = decimal places. Round to 3 0.9 4.7 B) How many murders per 100,000 residents can be expected in a state with 8.5 thousand automatic weapons? Round to 3
Please don't use Exel for solving, I need manual steps
The following table contains ACT scores and the GPA for eight college students. Estimate the relationship between GPA (yi) and ACT (x;) using OLS regression by hand. Report the intercept and slope estimates: Student 1 2 3 4 5 6 7 8 GPA 2.8 3.4 3.0 3.5 3.6 3.0 2.7 3.7 ŷ₁ =B₁ + B₁x₁ ACT 21 24 26 27 29 25 25 30 y X ŷ₁
3. Find the equation of the regression line for the data and graph the scatter plot for the data No of ads (x) Sales (y) 2 5 8 8 10 12 2 4 7 9 10 Find yl at x = 47 ads
d. Draw the regression line on the scatter diagram using the yp points.e. Find y for x = 50 x 20 10 30 40 60 70 y 20 20 30 50 60 80

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