H. Find the slope and y-intercept of each regression line. Then, determine if the correlation between the variables is positive or negative. (12 points)Regression Line Equation1. Y = 1.751X – 21.722Slopey-interceptKind of Correlation2. Y = -221.943X+65.4343. Y = -82.455X –314.9864. Y = 0.997X + 0.168

The objective is to find the slope, y-intercept, and the kind of correlation in the given regression…

Answered: H. Find the slope and y-intercept of…

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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A data set consists of these points: (2, 4), (4, 7), (5, 12). Malinda found the regression equation to be ŷ = 2.5x- 1.5. Is she correct? A. No. Both a and bare incorrect. O B. No. The value for b is incorrect. C. No. The value for a is incorrect. O D. Yes. This is the correct equation.
The number of students in a school chorus has increased since the school first opened 6 years ago. The linear regression equation describing the change is y = 14x + 17, where a represents the year and y represents the number of students. a. Complete the table to determine the residuals for the numberr of students. Then create a residual graph with the X's on the x axis and residuals on the y-axis. Predicted Number of Residual Value Year Number of Students Students 22 26 40 59 78 4 83 Residual Plot 6 -4 3 2 -2 -1 -1 916 esc DII F4 FS F7 FB @ %23 2$ 1 2 3. 4. 7 8. Q W E R T Y tab S D F G caps lock Z C V N shift B A
AD S 5) A pharmaceutical company is investigating the relationship between advertising expenditures and the sales of some over-the-counter (OTC) drugs. The following data represents a sample of 10 common 0TC drugs. Find the equation of the regression line, using Advertising dollars as the independent variable and Sales as the response variable. Interpret the slope of the line in the words of the problem. Find r². Use the line to predict the Sales if Advertising dollars = $50 million. Note that AD = Advertising dollars in 22 64 25 74 29 82 35 90 38 100 42 120 millions and S = Sales in millions $. 46 120 52 142 65 180 88 230
(d) Interpret the meaning of the slope of the regression line.
The equation of a regression line is y = 4.6 + 3.2x . What is the intercept of this line ?
The figure for this exercise is a scatterplot of y with the following formula. Average math = 575 600 Average math SAT 575. 550 $525. 500- - = 1.11(Percent took) average math test score versus x = percent of graduating seniors who took the test for the 50 states. The regression line for these data is expressed 475 10 20 30 40 50 60 70 80 Percent taking test 90 (a) The slope of the equation is -1.11. Interpret this value in the context of how average math test changes when the percent of graduates taking the test changes. Average math test decreases 1.11 points per each 1-percent decrease in the percentage of high school graduates taking the test. Average math test decreases 575 points per each 1-percent increase in the percentage of high school graduates taking the test. Average math test decreases 575 points per each 1-percent decrease in the percentage of high school graduates taking the test. Average math test increases 1.11 points per each 1-percent increase in the percentage of…
A temperature dataset gives y mean April temperature (Fahrenheit) and x = geographic latitude for 20 U.S. cities. The simple linear regression equation for the sample is ŷ = 119 - 1.64x. (a) The value of latitude for a certain city is 41. What is the predicted April temperature for this city? (Round your answer to the nearest tenth.) degrees Fahrenheit (b) The mean April temperature for this city is 48. What is the residual for the city? (Round your answer to the nearest tenth.) degrees Fahrenheit You may need to use the appropriate table in the Appendix of Tables to answer this question.
FAL The money raised and spent (both in millions of dollars) by all congressional campaigns for 8 recent 2-year periods are shown in the table. The equation of the regression line is y = 0.959x + 15.575. Find the coefficient of determination and interpret the result. Money raised, x Money spent, y 472.7 446.1 652.5 681.3 742.1 747.2 Find the coefficient of determination and interpret the result. 2 (Round to three decimal places as needed.) 785.7 779.4 1025.2 954.5 1207.4 1008.1 933.1 1165.1 769.1 725.3
Q5. Find the equation of Regression line for the given data. X: 15 3 4 7 Y: 5 6 10 20 2 Find the value of Y when X = 6.
Use the regression equation to predict the value of y= -2.8. Assume that the variable x and y have a significant
Find the regression equation, letting the first variable be the predictor (x) variable. Find the best predicted Nobel Laureate rate for a country that has 79.3 Internet users per 100 people. How does it compare to the country's actual Nobel Laureate rate of 1.6 per 10 million people? Data Table Click the icon to view the data. Find the equation of the regression line. Internet Users Per 100 Nobel Laureates 79 5.4 (Round the constant to one decimal place as needed. Round the coefficient to three decimal places as needed.) 79.6 24.4 78.7 8.6 The best predicted number of Nobel Laureates when the number of internet users per 100 is 79.3 is (Round to one decimal place as needed 45.3 0.1 How does it compare to the country's actual Nobel Laureate rate of 1.6 per 10 million people? 83 6.1 38.6 0.1 O A. The best predicted value is the opposite of the actual Nobel Rate. 90.6 25.1 O B. The best predicted value is equal to the actual Nobel Rate. 89.1 7.5 80.1 9 O C. The best predicted value is not…
The equation of the linear regression line represents the relationship between the number of cars washed for charity, x, and the amount eamed for the charity, y. ŷ = 10z + 20 What does the slope of the Jine represent? O For every car washed for charity, the amount earned for the charity increases by $10. O For every car washed for charity, the amount earned for the charity increases by $2 O For every car washed for charity, the amount earned for the charity increases by $1. O For every car washed for charity, the amount earned for the charity increases by $20.

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