Answered: Give the following data: X 6 2 10 4 8 Y…

Give the following data: X 6 2 10 4 8 Y 9 11 5 8 7 Find the two regression equations and calculate the standard error of the estimate (Syx and Sxy).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.4: Linear Regression

Problem 12SBE: Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4

See similar textbooks

Similar questions

Life Expectancy The following table shows the average life expectancy, in years, of a child born in the given year42 Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 a. Find the equation of the regression line, and explain the meaning of its slope. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2019? e. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1580?2300
XYZ Corporation Stock Prices The following table shows the average stock price, in dollars, of XYZ Corporation in the given month. Month Stock price January 2011 43.71 February 2011 44.22 March 2011 44.44 April 2011 45.17 May 2011 45.97 a. Find the equation of the regression line. Round the regression coefficients to three decimal places. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict the stock price to be in January 2012? January 2013?
For the following exercises, consider the data in Table 5, which shows the percent of unemployed in a city ofpeople25 years or older who are college graduates is given below, by year. 41. Based on the set of data given in Table 7, calculatethe regression line using a calculator or othertechnology tool, and determine the correlationcoefficient to three decimal places.
For the following exercises, consider the data in Table 5, which shows the percent of unemployed ina city of people 25 years or older who are college graduates is given below, by year. 40. Based on the set of data given in Table 6, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to three decimal places.
Cellular Phone Subscribers The table shows the numbers of cellular phone subscribers y in millions in the United States from 2008 through 2013. Source: CTIA- The Wireless Association Year200820092010201120122013Number,y270286296316326336 (a) Find the least squares regression line for the data. Let x represent the year, with x=8 corresponding to 2008. (b) Use the linear regression capabilities of a graphing utility to find a linear model for the data. How does this model compare with the model obtained in part a? (c) Use the linear model to create a table of estimated values for y. Compare the estimated values with the actual data.
The personnel director of a large hospital is interested in determining the relationship (if any) between an employee's age and the number of sick days the employee takes per year. The director randomly selects ten employees and records their age and the number of sick days which they took in the previous year. Employee 1 2 30 50 Age Sick Days 7 4 Copy Data The estimated regression equation and the standard error are given. Answer Sick Days intiem 3 4 5 40 55 30 9 3 2 7 8 9 10 25 30 45 8 6 28 60 10 0 14.310162 - 0.236900(Age) s 2 S. = 1.682207 Find the 99 % prediction interval for the average number of sick days an employee will take per year, given the employee is 28. Round your answer to two decimal places. 2 Tables Keypad Keyboard Shortcuts
RaceJA started manufacturing race cars four years ago. The company wants to know the relationship between the number of workers on its assembly line and the number of cars they can make in a week. A research team collected the following data presented in the table below: Number of Workers (X) Number of cars produced (y) 2 10 7 15 15 50 20 100 Derive a regression formula using the data in the table and determine how many cars will be produced by 100 workers.
Draw the regression line for the following equation: Y = -3 + (1) X Show your calculation for a low and high value on the predictor value.
The training manager of a company that assembles and exports pool pumps wants to know if there is a link between the number of hours spent by assembly workers in training and their productivity on the job. A random sample of 10 assembly workers was selected and their performances evaluated. Use the information below to calculate the slope of the regression equation (rounded off to four decimals). Training hours (x) 20 36 20 38 40 33 32 28 40 24 Output (y) 40 70 44 56 60 48 62 54 63 38 Use the following measures for further calculations: Ex 311 Zy = 535 Exy 17240 Ex² = 10213 Ey² = 29649 %D %3D %3D A. 1.1120 B. 0.5860 • C. 0.5269 D. 18.9168
Lillian conducted a small survey of her friends and family. She asked them how many hours per week they spend reading digital documents (newspapers, blogs, books, etc.), and their age. She created the scatter plot below with the results she obtained. Draw the regression line that best represents this scatter plot and determine its equation.
The scatter plot and table show the number of grapes and blueberries in 10 fruit baskets. Use the two data points closest to the line. Which equation is the equation of the regression line? Blueberries O y = 28 24 20 16 12 O y= 8 4 0 Number of Grapes and Blueberries Grapes 38 48 54 32 20 36 24 30 44 50 Blueberries 12 16 18 18 8 16 12 9 15 23 0y=x+ ○ y=x+13 4 812 16 20 24 28 32 36 40 44 48 52 56 Grapes +
A sales manager collected the following data on y = annual sales and x = years of experience. The estimated regression equation for these data is ŷ = 80 + 4x. Click on the datafile logo to reference the data. DATA file Salesperson 1 Years of Experience Annual Sales ($1000s) 1 80 2 3 97 3 4 92 4 4 102 5 6 103 6 8 111 7 10 119 8 10 123 9 11 117 10 13 136 a. Compute SST, SSR, and SSE.