A shoe store developed the following estimated regression equation relating sales to inventory investment and advertising expenditures.ŷ = 21 + 10x, + 7x2%DwhereX1inventory investment ($1,000s)advertising expenditures ($1,000s)X2sales ($1,000s).y =(a) Predict the sales (in dollars) resulting from a $15,000 investment in inventory and an advertising budget of $10,000.(b) Interpret b1and b, in this estimated regression equation.2.Sales can be expected to increase by $for every dollar increase in inventory investment when advertising expenditure is held constant. Sales can be expected to increase by$for every dollar increase in advertising expenditure when inventory investment is held constant.

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Answered: A shoe store developed the following…

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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You are the Filipino analyst hired by the multinational company to study the sales data of its more than 75 stores worldwide. You used regression analysis to predict $ sales (y) by using $ advertising (x1) and $ salary of sales representatives (x2) across all the branches. You obtained the following regression function: y = 7800 + 8.5x1-1.6x2 If the advertising budgets of one of the branches of the corporation is now $45,000 (which is 10% more than before) and the salary of sales representatives is now $8,500 (which is 20% less than before), then the predicted sales before in that branch is $417,750 $341,250 $376,700 $335,650
A regression analysis between cost to build a clinic (in dollars) and clinic size (in square foot) resulted in the following equation: y=75+6x. This implies that if the clinic size is 800 square feet, then the cost to build a clinic (in dollars) is?
You are conducting a multiple regression analysis to determine if there is a linear relationship between y, the number of applications to in-state universities and two factors: ×1, the state's unemployment rate and ×2, the average grant provided to in-state students. Ten observations are available. The analysis produced the estimated regression equation below. y = 6.5 + 2.2×1 + 4.6×2 The standard error for the intercept, unemployment rate are 9.34, and 1.23, respectively. Is the coefficient for the unemployment rate variable statistically significant at the 5% significance level? Explain. A) No, since stat = 1.39 for this coefficient, which is less than 2.365. B) No, since the p-value for this coefficient is .072, which is greater than 05 C) None of these D) No, since the p-value for this coefficient is .072, which is greater than .05
What is the equation of a simple linear regression model with one independent variable x and one dependent variable y, given the slope (b1) is 0.5 and y-intercept (b0) is 2?
people eat cereal as a daily source of fiber, and these cereals contain the mineral potassium. Suppose a linear model was made to predict a cereal's potassium content using its fiber content, and suppose the model had intercept 37 and slope 25. For a cereal having 270 milligrams and 18 grams of fiber, what is the residual (in mg)?
What is the slope and intercept for the regression equation given this data?X = -5, 34, 56, 0, 61Y = 13, 63, 46, -23, 50
You are the Filipino analyst hired by the multinational company to study the sales data of its more than 75 stores worldwide. You used regression analysis to predict $ sales (y) by using $ advertising (x1) and $ salary of sales representatives (x2) across all the branches. You obtained the following regression function: y = 7800 + 8.5x1-1.6x2 If the advertising budgets of one of the branches of the corporation increased by 10% and the salary of sales representatives decreased by 20%, then its predicted sales will?
Data was collected for a regression analysis where sleep quality (as a percentage) depends on the amount of caffeine consumed in a day (measured in mg). bo was found to be 92.7, b₁ was found to be -0.76, and R² was found to be 0.86. Interpret the slope of the line. O On average, each one mg increase in caffeine consumed increases a person's sleep quality by 92.7%. O On average, when x = = 0, a person has a sleep quality of -0.76%. O On average, each one mg increase in caffeine consumed decreases a person's sleep quality by 0.76%. On average, when x = 0, a person has a sleep quality of 92.7%. O We should not interpret the slope in this problem. O We should interpret the slope in this problem, but none of the above are correct.
The table shows the average weekly wages (in dollars) for state government employees and federal government employees for 8 years. The equation of the regression line is y=1.410x−17.174. Complete parts (a) and(b) below.
The table shows the total square footage (in billions) of retailing space at shopping centers and their sales (in billions of dollars) for 10 years. The equation of the regression line is y = 674.071x- 2582.997. Complete parts a and b. Total Square Footage, x Sales, y 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.9 5.9 6.1 852.7 927.6 978.6 1057.5 1104.2 1221.6 1277.9 1325.5 1439.3 1530.9 (a) Find the coefficient of determination and interpret the result. (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? O A. The coefficient of determination is the fraction of the variation in sales that is unexplained and is due to other factors or sampling error. The remaining fraction of the variation explained by the variation in total square footage. O B. The coefficient of determination is the fraction of the variation in sales that can be explained by the variation in total square footage. The remaining fraction of the variation is unexplained and is due to…
The regression equation of two variables are 3Y-2X 10 = 0 and 2Y-X-500. Find coefficient of correlation.
Daphne, who graduated from one of the prestigious schools in Cebu, was asked by her boss to estimate the demand of the customer for the succeeding month. The resulting estimated regression equation is y = 1.304 + 0.602x, with the following range of independent variables: 0, 5, 8, 13, 16, 18, and 23. How will her boss interpret the estimated intercept?

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