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

See similar textbooks

Similar questions

A researcher wishes to determine whether the rate of water flow (in liters per second) over an experiment soil bed can be used to predict the amount of soil washed away (in kilograms). The researcher measures the amount of soil washed away for various flow rates, and from these data calculates the least squares regression line to be: amount of eroded soil = 1.3(flow rate) + 0.4 One of the flow rates used by the researcher was 0.3 liters per second and for this flow rate the amount of eroded soil was 0.8 kilograms. These values were used in determining the equation of the regression line. Determine the residual corresponding to these values.
The table shows the wind energy consumptions y (in quadrillions of Btus, or British thermal units) in the United States from 2009 through 2013. Find the least squares regression line for the data. Let t represent the year, with t = 9 corresponding to 2009. Use the linear regression capabilities of a graphing utility to check your work. (Source: U.S. Energy Information Administration)The table shows the wind energy consumptions y (in quadrillions of Btus, or British thermal units) in the United States from 2009 through 2013. Find the least squares regression line for the data. Let t represent the year, with t = 9 corresponding to 2009. Use the linear regression capabilities of a graphing utility to check your work. (Source: U.S. Energy Information Administration)
A student at a junior college conducted a survey of 20 randomly selected full-time students to determine the relation between the number of hours of video game playing each week, x, and grade-point average, y. She found that a linear relation exists between the two variables. The least-squares regression line that describes this relation is y = -0.0552x +2.9446. (a) Predict the grade-point average of a student who plays video games 8 hours per week. The predicted grade-point average is 2.50 (Round to the nearest hundredth as needed.) (b) Interpret the slope. For each additional hour that a student spends playing video games in a week, the grade-point average will by points, on average. increase decrease Enter your answer in the answer box and then click Check Answer. parts remaining Clear All Check Answer P Type here to search TOUC Panasonic CF-54 ED 10 F8 #5 F6 F3 8. 2 FOA F1 Es & 7 0 8 8 99 2 A2 10 161 1 A1 Y 15 + 1/ ID 4圣 %U4 12
An article gave a scatter plot, along with the least squares line, of x = rainfall volume (m3) and y = runoff volume (m3) for a particular location. The simple linear regression model provides a very good fit to data on rainfall and runoff volume (n = 15) given below. The equation of the least squares line is y = −1.495 + 0.83011x, r2 = 0.978, and s = 4.96. x 5 12 14 17 23 30 40 47 55 67 72 81 96 112 127 y 4 10 13 15 15 24 26 45 38 46 54 69 81 99 101 (a) Use the fact that sy hat = 1.36 when rainfall volume is 40 m3 to predict runoff in a way that conveys information about reliability and precision. (Calculate a 95% PI. Round your answers to two decimal places.) , m3 Does the resulting interval suggest that precise information about the value of runoff for this future observation is available? Explain your reasoning. Yes, precise information is available because the resulting interval is very wide. Yes, precise information is available because the resulting interval is very…
The x values in the accompanying table below represent the number of petrol pumps operated by seven different petrol stations. The y values represent the number of litres, that each of these petrol stations sell in a day. Number of pumps, x Number of litres, y 2 3 4 5 6 7 8 1 3 5 8 11 12 (a) Find the regression line of y on x using the least squares method. (b) What would be the number of litres, y if the number of pumps, x is 10? (c) Calculate the Pearson's product moment correlation coefficient, r (d) Find the coefficient of determination.
The following table number of absences (x) and the grade earned on the first exam (y) for a Statistics class. 3 8 y 95 76 91 54 84 38 The least-squares regression line is in the form y= bo + b, X. Compute the value of bo- That is, compute the intercept. Round your answer to two decimal places. Write only a number as your answer.
Mass-Transit Subsidies The following table gives the projected state subsidies (in millions of dollars) to a certain transit authority over a 5-year period (x = 1 corresponds to the first year). Year, x 3 4 Subsidy, y 21.25 25.5 24.25 26.25 33.75 (a) Find an equation of the least-squares line for these data. y = (b) Assuming that the trend continued, estimate the state subsidy to the MBTA (in millions of dollars) for the eighth year (x 8). (Round your answer to one decimal place.) %24 million
The scatter plot below shows data for the average cost of a high-end computer (y, in dollars) in the year x years since 2000. The least squares regression line is given by yˆ=−1677+314x. A coordinate plane has a horizontal x-axis labeled Year from 4 to 12 in increments of 2 and a vertical y-axis labeled Cost in dollars from 0 to 2000 in increments of 500. The following points are plotted: left-parenthesis 6 comma 250 right-parenthesis, left-parenthesis 7 comma 550 right-parenthesis, left-parenthesis 9 comma 1000 right-parenthesis, left-parenthesis 10 comma 1300 right-parenthesis, and left-parenthesis 11 comma 2000 right-parenthesis. A line rises from left to right, passing through left-parenthesis 7 comma 550 right-parenthesis and left-parenthesis 10 comma 1500 right-parenthesis. All coordinate are approximate. Interpret the y-intercept of the least squares regression line. Select the correct answer below: The predicted cost of a computer in the year 0 is…
Consider the set of points (0,9),(1,5),(6,3) and (9,2). In this set of points, the age of a dolphin is the first part of each ordered pair and the second part is the number of tricks that the dolphin learned in a month. So, the 6 year-old dolphin learned 3 tricks in the month. Write the least squares regression line for this data. Use the line to estimate how many tricks a 4 year-old dolphin could learn. Then find r and r2. Explain what r2 means.
The scatter plot below shows data for the average cost of a high-end computer (y, in dollars) in the year x years since 2000. The least squares regression line is given by yˆ=−1677+314x. A coordinate plane has a horizontal x-axis labeled Year from 4 to 12 in increments of 2 and a vertical y-axis labeled Cost in dollars from 0 to 2000 in increments of 500. The following points are plotted: left-parenthesis 6 comma 250 right-parenthesis, left-parenthesis 7 comma 550 right-parenthesis, left-parenthesis 9 comma 1000 right-parenthesis, left-parenthesis 10 comma 1300 right-parenthesis, and left-parenthesis 11 comma 2000 right-parenthesis. A line rises from left to right, passing through left-parenthesis 7 comma 550 right-parenthesis and left-parenthesis 10 comma 1500 right-parenthesis. All coordinate are approximate. Interpret the slope of the least squares regression line. Select the correct answer below: On average, the average cost of a high-end computer is…
Biologist Theodore Garland, Jr. studied the relationship between running speeds and morphology of 49 species of cursorial mammals (mammals adapted to or specialized for running). One of the relationships he investigated was maximal sprint speed in kilometers per hour and the ratio of metatarsal-to-femur length. A least-squares regression on the data he collected produces the equation ŷ = 37.67 + 33.18x where x is metatarsal-to-femur ratio and y is predicted maximal sprint speed in kilometers per hour. The standard error of the intercept is 5.69 and the standard error of the slope is 7.94. Construct a 96% confidence interval for the slope of the population regression line. Give your answers precise to at least two decimal places. contact us help 6:42 PM povecy polcy terms of use careers A E O 4») 18 -క90.4 58 12/14/2020 a 17 |耳即 delets prt sc insert 112 19 18 + 16 backspace f5 fA
The following data represents the amount in kg of fertilizer applied to equal size of plots and the yields in kg of maize.PLOT AMOUNT OF FERTILIZER(X) YIELDS(Y)A 2 7B 1 3C 3 8D 4 10 (a) Calculate and interpret the correlation coefficient for X and Y 6 marks (b) Calculate and interpret the least square regression of Y on X 8 marks

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS