A data set is given below.(a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y.(b) Given that x = 3.6667, sx = 2.4221, y =4.1667, sy = 1.5958, and r= -0.9348, determine the least-squares regression line.(c) Graph the least-squares regression line on the scatter diagram drawn in part (a).A.0-X(a) Choose the correct graph below.0y0235 6 65.7 5.7 5.4 3.2 24 266B.0-5DgdO C.6-0-06QMOD.6Ay0-OQQ

Given that,GOTO EXCELDATA---->DATA ANALAYSISDATA ANALYSIS---->REGRESSIONGive the X and Y…

Answered: (a) Draw a scatter diagram. Comment on…

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 is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x= 3.3333, s= 2.5033, y = 4.0667, s, = 1.9449, and r= - 0.9585, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). 3 4 5.8 6.3 5.1 3.4 1.8 2.0 重 (a) Choose the correct graph below. OA. O B. OD. 本y 7- Ay 本y 7- AY 7- 0- 0. 0- 0. 6. There appears to be relationship. (b) ŷ =[]x+ (D (Round to three decimal places as needed.) (c) Choose the correct graph below. O A. О В. OC. O D. Ay 7- Ay 7- 0- 0. 9. 6. O Time Remaining: D TCOA2334403 U 10-8-2014 MAIN TCOA2330401 (2) Q 出

Complete parts (a) through (h) for the data below. 4 6. 8 y 11 14 18 23 26 (d) By hand, determine the least-squares regression line. y = 2.977 x+ ( - 0.651) (Round to three decimal places as needed.) (e) Graph the least-squares regression line on the scatter diagram. Choose the correct graph below. A. Ов. Ay 30- Ay 10- 30- X 0- 10 10 10 (f) Compute the sum of the squared residuals for the line found in part (b). (Round to three decimal places as needed.)
The following data are the average annual repair cost (in O.R.) and the age of automobiles ( in years). Car age (x) 1 2 3 4 5 Repair Cost (y) 100 150 320 350 380 Find the equation of Y on X by least-squares regression method.
A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x= 3.6667, sy = 2.2509, y= 3.6833, s, = 1.8809, and r= - 0.9511, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). 1 4 4 6 6 y 5.0 6.3 4.2 3.4 1.4 1.8 (a) Choose the correct graph below. OA. B. OC. OD. Ay 74 Ay Ay 7- .. .. There appears to be a linear, negative relationship. (b) y=x+ O (Round to three decimal places as needed.) (c) Choose the correct graph below. O A. B. OC. D. Ay 0-
A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y (b) Given that x =3.5000, s, = 2.2583, y = 4.4667, s, = 1.7682, and r= -0.9416, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). 6 3 4 5.4 68 5.6 4.0 2.3 2.7 1 y (a) Choose the correct graph below. O A Oc. Q There appears to be V relationship (b) y=+ O (Round to three decimal places as needed.) (c) Choose the correct graph below. O A OB. OC. OD.
A pediatrician wants to determine the relation that exists between a child's height, x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head circumferences, and obtains the accompanying data. Complete parts (a) through (g) below. Click the icon to view the children's data. Data table (a) Find the least-squares regression line treating height y =x+ (O (Round the slope to three decimal places and round the d Height (inches), x Head Circumference (inches), y O. 28 17.6 24.5 17.1 25.75 17.1 25.75 17.5 24.25 17.0 27.75 17.7 26.5 17.3 27.25 17.6 26.5 17.3 26.5 17.5 27.75 17.6 Print Done Help me solve this View an example Get more help - Media - Clear all Check answer
A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x = 3.6667, sx =2.4221, y = 3.8667, sy = 1.8435, andr= -0.9525, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). D O A. (a) Choose the correct graph below. Ay 6- X y 0 0 2 3 5 6 6 5.8 5.7 5.0 2.8 1.7 2.2 O G B. Ay 6- Q (...) C. 0- ● Q D. Ау 0- X 6
Complete parts (a) through (h) for the data below. 30 40 50 60 70 y 90 87 82 74 Question Help v 62 (c) Graph the line found in part (b) on the scatter diagram. Choose the correct graph below. O A. OB. Ay 80- OC. Ay 80- OD. Av 20- 20 20 80 100 (d) By hand, determine the least-squares regression line. /Dound to throo donimal lncon an nondod Click to select your answer(s). M acer 9 esc # 2$ 6. 4 3 e W k h
The residual plot shows the residuals for the least- squares line relating price of a used car (y) to the number of miles driven (x). Residuals Residual Plot for Miles Driven vs Price 10,000 5,000 -5,000 50,000 100,000 150,000 200,000 Number of Miles Driven Based on the residual plot, is the linear model appropriate for the relationship between miles and price? No, because there are clear outliers in the residual plot. No, because there is a clear curved pattern in the residual plot. No, because there does not appear to be a pattern to the residuals. Yes, because there is a clear curved pattern in the residual plot. Yes, because there does not appear to be a pattern to the residuals.
A random sample of 65 high school seniors was selected from all high school seniors at a certain high school. The following scatterplot shows the height, in centimeters (cm), and the foot length, in cm, for each high school senior from the sample. The least-squares regression line is shown. The computer output from the least-squares regression analysis is also shown. Term Coef (SE) Coef T-value P-value Constant 105.08 6.00 17.51 0.000 Foot Length 2.599 0.238 10.92 0.000 S=5.90181 R-sq= 65.42% (a) Calculate and interpret the residual for the high school senior with a foot length of 20cm and a height of 160cm. (b) The standard deviation of the residuals is s=5.9. Interpret the value in context. (c) The following histogram summarizes the 65 residuals. Assume that the distribution of residuals is approximately normal with mean 0cm and standard deviation5.9cm. What percent of the residuals are greater than 8cm? Justify your answer. (d) Based on your answer to part (c), would…
Researchers are investigating how the amount of monthly rainfall, measured in centimeters (cm), affects the monthly growth, in cm, of a certain plant. From a sample of data, the researchers created a least- squares regression line. Computer output is shown in the following table. Variable DF Estimate SE T Intercept 1 0.75 0.350 2.14 Rainfall 1 0.15 0.025 6.00 Which of the following statements is an interpretation of the value 0.75 shown in the table? A Monthly growth is expected to increase by 0.75 cm when rainfall increases by 1 cm. Rainfall is expected to increase by 0.75 cm when monthly growth increases by 1 cm. For a month with 0 cm of rainfall, the monthly growth is expected to be approximately 0.75 cm. For a plant with 0 cm of monthly growth, the month had an expected rainfall of approximately 0.75 cm. E Approximately 75% of the variability in monthly growth is due to its linear relationship with rainfall.

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