FilePage 2 of 2GHome153 words78°FPartly cloudyInsert DesignLayoutTOTALEnglish (United States)ONE SIMPLE LINEAR REGRESSION [Compatibility Mode] - WordReferences Mailings ReviewNew Tab1. Triple A Construction Company renovates old homes in Albany. Over time, the company hasfound that its dollar volume of renovation work is dependent on the Albany area payroll. Thefigures for Triple A's revenues and the amount of money earned by wage earners in Albany forthe past six years are presented in the table below. Economists have predicted the local areapayroll to be $600 million next year, and Triple A wants to plan accordingly.X²●▬LOCALPAYROLL(X)($100,000,000s)68954.59.5A'S SALES (Y)($100,000s)SearchView346425Pensa. What is the forecast estimate of Triple A SALES? Interpret the result.b. Calculate the Correlation Coefficient. [Interpret the result]c.Calculate the Coefficient of determination.. [ Interpret the result]Y²zoomTell me what you want to do...▬▬XYXShare+ 100%11:12 pm11/02/2023

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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 cost of a leading liquid laundry detergent in different sizes is given below Size (ounces) Cost ($) 16 3.99 32 4.99 64 5.99 200 10.99 A. Write a brief description of the association.B. What is the strength of the relationship between the size of the laundry detergent and the cost? Use the correlation coefficient in your explanation.C. State the model for the size of the laundry detergent and the cost.D. Interpret the slope of your model in context.E. Interpret the intercept of your model in context. F. In the context of the problem is it better to have a positive or negative residual. Explain. G. Use the linear model to predict the cost of 300 ounces of laundry detergent.
B. Simple Correlation The monthly income of a person (y) is related to the age of the person(x). Along with higher age of a person goes also higher monthly income. But while there is a positive correlation between age and income, we cannot say that age causes the income of a person. Further, we cannot say the income of a person depends on that person's age. Given the sample data below: (show your solutions) a. Solve for the correlation r b. Test the significance of r Case # Y (Income) in thousands (Age) in years 1 9. 28 18 44 3 20 62 4 12 32 15 27 6. 25 55 10 24 26 12 9. 17 35 10 16 37 Total 154 370
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Statistics Question
An economist wants to determine whether there is a linear relationship between a country's gross domestic product (GDP) and carbon dioxide emissions. The data are shown in the table below. c. Compute and interpret the correlation coefficient. d. Compute and interpret the coefficient of determination. e. Test for the significance of the linear relationship. Use a 0.05 level of significance. State your conclusion. Hint: Your conclusion is either of the following. • There is a significant linear relationship between a country's gross domestic product (GDP) and carbon dioxide emissions. • There is no significant linear relationship between a country's gross domestic product (GDP) and carbon dioxide emissions. GDP 1.6 3.6 4.9 1.1 0.9 2.9 2.7 2.3 1.6 1.5 (trillion dollars) Carbon Dioxide Emissions 428.2 828.8 1214.2 444.6 264 415.3 571.8 454.9 358.7 573.5 (millions of metric tons)
7. Use the graphs below to answer (a) and (b) 9, 1 3 7 8 1 2 3 4 7 X LEFT RIGHT a. Which graph displays a negative correlation. Explain. b. Which graph displays the stronger correlation. Explain.
V3
3. The speed (in miles per hour) of 8 vehicles and their braking distance (in feet) when stopping on a dry surface speed, x braking distance, y 20 30 40 50 50 60 65 70 55 72 75 110 138 162 193 225 type of correlation: Conclusion
A2. A study of test results at different schools shows that as the student-to-teacher ratio increases the average test result tends to decrease, although the relationship is quite weak. Which of the following is plausible value for the correlation between student-to- teacher ratio and average test results? A -0.9 B -0.3 C -0.01 D 0.3 E 0.9
Calculate the value of coefficient of correlation petween price and supply. What is its probable error ? Interpret the value of coefficient of correlation. Price 8. 10 15 17 20 22 24 25 Supply : 25 30 32 35 37 40 42 45
Solve.

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a. What is the forecast estimate of Triple A SALES? Interpret the result. b. Calculate the Correlation Coefficient.[Interpret the result] c. Calculate the Coefficient of determination.. [ Interpret the result]