Complete parts (a) through (h) for the data below.X 4050 607080y8478756753(a) By hand, draw a scatter diagram treating x as the explanatory variable and y as the response variable. Choose thecorrect scatter diagram below.O A.Ax90+30-5y= -=X+6A.100Ay30Ay100100430Q90L(b) Find the equation of the line containing the points (50,78) and (80,53).3593(Type integers or simplified fractions.)(c) Graph the line found in part (b) on the scatter diagram. Choose the correct graph below.OB.100A30Ay100+OB.0+30Ay90+.30+30●O C.AL(d) By hand, determine the least-squares regression line.y = -0.730 x + (115.200¹)(Round to three decimal places as needed.)(e) Graph the least-squares regression line on the scatter diagram. Choose the correct graph below.A.OB.OD.(904&c.C.(f) Compute the sum of the squared residuals for the line found in part (b).(Round to three decimal places as needed.)Ay100100+of30•QO D.90430-30Ay90-30-QQ

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Answered: (f) Compute the sum of the squared…

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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Calculate the residual for x = 95. Use equation to 3 decimal places. Report answer to 3 decimal places.
for (f) the line equation is (could not include in screenshot): y=2x+(-4) How do you compute the sum of the squared residuals for the LINE in F and sum of residuals for the LEAST-SQUARES regression lind in D? Please do on a TI-84 Plus calculator (or just a calculator) instead of by hand. Thanks
A researcher believes that there is a linear association between the level of potassiumcontent (y) in milligrams and the amount of fiber (x) in grams in cereal. The regression line forthe data is computed to be: ŷ = 36+27x rate. It was also computed that r = .62 b. If a cereal has 4 grams of fiber and a potassium content of 160 milligrams, what is thevalue of the residual?
Use a linear approximation to estimate (1.03) ³ (-1.01) ² Compute the percentage error: %
The profit of a company increased steadily over a ten-year span. The following ordered pairs show the number of units sold in hundreds and the profit in thousands of units over the ten-year span, (number of units sold, profit) for specific recorded years: (46,250), (48,305), (50,350), (52,390), (54,410) a) Use linear regression to determine a function y, where profit in thousands of dollars depends on the number of units sold in hundreds. b) Predict when the profit will exceed one million dollars.
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.
Interpret the intercept and the coefficients of D1 and D2 in the regression above.
Water is poured into a large, cone-shaped cistern. The volume of water, measured in cm, is reported at Which of the following would linearize the data for volume and time? different time intervals, measured in seconds. The scatterplot of volume versus time showed a curved Seconds, cm3 O In(Seconds), cm3 Seconds, In(cm') pattern. O In(Seconds), In(cm³)
The owner of a movie theater company used multiple regression analysis to predict gross revenue (y) as a function of television advertising (x,) and newspaper advertising (x,). The estimated regression equation was ý = 82.3 + 2.29x, + 1.90x2. The computer solution, based on a sample of eight weeks, provided SST = 25.1 and SSR = 23.415. (a) Compute and interpret R? and R 2. (Round your answers to three decimal places.) The proportion of the variability in the dependent variable that can be explained by the estimated multiple regression equation is 653 x . Adjusting for the number of independent variables in the model, the proportion of the variability in the dependent variable that can be explained by the estimated multiple regression equation is (b) When television advertising was the only independent variable, R2 = 0.653 and R,2 = 0.595. Do you prefer the multiple regression results? Explain. Multiple regression analysis (is preferred since both R2 and R.2 show an increased v v…
The distance between the Y value in the data and the predicted Y value from the regression equation is known as the residual. What is the value for the sum of the squared residuals? a. SSresidual = r2(SSX) b. SSresidual = r2(SSY) c. SSresidual = (1 – r2)(SSX) d. SSresidual = (1 – r2)(SSY)
Solve it correctly and clear
The table lists the average monthly cost to workers for family health insurance for various years. Year, x Average Monthly Cost to Workers for Family Health Insurance $298 a) Use a graphing calculator to fit a regression line to the data. b) Predict the average monthly cost to workers for family health insurance in 2020, and compare the value with $493.3, which is obtained using the points (1,340) and (4,386). c) Find the correlation coefficient for the regression line, and determine whether the line fits the data closely. 2009, 0 2010, 1 2011, 2 340 348 2012, 3 367 2013, 4 2014, 5 386 406 a) The linear equation of the regression line that best models the data is y =x+. (Round to the nearest hundredth as needed.) b) The average monthly cost to workers for family health insurance in 2020 is predicted to be $ (Round to the nearest cent as needed.) Compare the above obtained value with $493.3 This value is $ $493.3 c) The correlation coefficient is (Round to the nearest thousandth as…

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(f) Compute the sum of the squared residuals for the line found in part (b). (Round to three decimal places as needed.)