Given the following summary information, calculate the value of the y-intercept for the least squares line. Enter your answer to two decimal places. Hint: You will need to find the slope estimate first.- n = 10- Σx = 28.8- Σy = 37.3- Σx² = 72- Σxy = 103.4To find the y-intercept, you first need to calculate the slope (b) using the formula:\[ b = \frac{n(Σxy) - (Σx)(Σy)}{n(Σx²) - (Σx)²} \]Once you have the slope, use it to find the y-intercept (a) with:\[ a = \frac{Σy - b(Σx)}{n} \]

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Answered: Given the following summary…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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The point (9.1,71) is a point on the scatterplot. Draw the graph of the regression line on the scatterplot on the back of this paper using the y-intercept and the point(I = 3,y = 191). Indicate the residual for z = 9.1 by drawing the vertical line between(9.1, 71) and the corresponding point on the regression line. Will the residual be a positive or negative value?(f) Find the value of the residual for x = 9.1.
:0 F1 @ 2 F2 W S For major league baseball teams, is there a relationship between player payrolls and gate money? Here are data for each of the National League teams for the year 2002. The variable x denotes the 2002 player payroll (in millions of dollars), and the variable y denotes the mean attendance (in thousands of fans) for the team's home games that year. The data are plotted in the Figure 1 scatter plot. Arizona Atlanta Chicago Cubs Cincinnati Colorado Florida Houston Los Angeles Milwaukee Montreal New York Mets Philadelphia Pittsburgh San Diego San Francisco St Louis Send data to calc.... Check Mean Player payroll, x attendance, (in $1,000,000 s) #3 80 F3 103.5 93.8 E ✓ D 75.0 46.3 56.6 40.8 65.4 101.5 49.3 37.9 94.4 59.6 46.1 41.8 78.4 76.2 $ 4 The least-squares regression line for these data has a slope of approximately 0.34. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary,…
A manager wishes to determine the relationship between the distance (in hundreds of miles) the manager's sales representatives travel per month and the amount of sales (in thousands of dollars) per month. Find the standard error of estimate, Se given that ý = 3.5x + 31.388889 %3D 15 8 Miles Travele1,r Sales, y 13 11 10 3 14 76 68 65 42 38 84 82 63 48 E= 81; y = 566 a² = 913; y² = 37886 2 xy = 5738 OS, = 2.025 S = 2.296 OS. = 1.895 Se = 1.735 S. = 2.446
The number of banks in a country has been dropping steadily since 1984, and the trend in recent years has been roughly linear. The annual data for the years 1999 through 2008 can be summarized as follows, where x represents the years since 1990 and y the number of banks, in thousands. n=10 Ex-235 ²-5605 Ey-77.564 Ey²=603.80424 Exy-1810.155 a. Find an equation for the least squares line. b. Use your result from part a to predict the number of banks in the year 2020. c. If this trend continues linearly, in what year will the number of banks drop below 6200? d. Find and interpret the correlation coefficient.
The number (in millions) of employees working in educational services in a particular country was 16.6 in 2005 and 18.5 in 2014. Let x = 5 correspond to the year 2005, and estimate the number of employees in 2010. Assume that the data can be modeled by a straight line and that the trend continues indefinitely. Use two data points to find such a line and then estimate the requested quantity. Let y represent the number of employees. The linear equation that best models the number of employees (in millions) is (Simplify your answer. Use integers or decimals for any numbers in the equation. Round to the nearest hundredth as needed.) In 2010, the number (in millions) of employees working in education services would be (Type an integer or a decimal rounded to the nearest hundredth as needed.)
Using the weights (Ib) and highway fuel consumption amounts (mi/gal) of the 48 cars listed in the accompanying data set, one gets this regression equation: y = 58 9-0.00749x, where x represents weight Complete parts (a) through (d). Click the icon to view the car data. 東 b. What are the specific values of the slope and y-intercept of the regression line? O A. The slope is 58.9 and the y-intercept is 0.007499. B. The slope is -0.00749 and the y-intercept is 58.9. O C. The slope is 58.9 and the y-intercept is -0.00749. O D. The slope is 0.00749 and the y-intercept is 58.9. c. What is the predictor variable? O A. The predictor variable is highway fuel consumption, which is represented by x. B. The predictor variable is weight, which is represented by x. O C. The predictor variable is weight, which is represented by y O D. The predictor variable is highway fuel consumption, which is represented by y. d. Assuming that there is a significant linear correlation between weight and highway fuel…
The number (in millions) of employees working in educational services in a particular country was 13.8 in 2005 and 18.2 in 2014. Let x = 5 correspond to the year 200 and estimate the number of employees in 2010. Assume that the data can be modeled by a straight line and that the trend continues indefinitely. Use two data points find such a line and then estimate the requested quantity. ... Let y represent the number of employees. The linear equation that best models the number of employees (in millions) is (Simplify your answer. Use integers or decimals for any numbers in the equation. Round to the nearest hundredth as needed.) In 2010, the number (in millions) of employees working in education services would be (Type an integer or a decimal rounded to the nearest hundredth as needed.)
Determine which score corresponds to the higher relative position.Which score has a higher relative position, a score of 70.8 on a test for which x̅ = 65 and s = 6, or a score of 261.6 on a test for which x̅ = 240 and s = 21?
The owner of Reliable Furniture was studying the relationship between sales (y) and the amount spend on advertising (x). A random sample of 65 homes gives the following information. The intercept = 17.28 and the slope = 0.8 The estimated sales for 10 amount of advertisment is
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Given the following summary information, calculate the value of the y-intercept for the least squares line. Enter your answer to two decimal places. Hint: You will need to find the slope estimate first. n = 10; X = 28.8; Σ y = 37.3; x² = 72; ху 3 103.4