### Understanding Bivariate Data and Regression Analysis**Bivariate Data Table:**The table presents quantitative variables \( x \) and \( y \):| \( x \) | \( y \) ||---------|---------|| 5.8 | 6.7 || 7.4 | 8.3 || 3.1 | 1.8 || 4.6 | 4.0 || 3.0 | 0.8 || 5.9 | 6.6 || 4.9 | 3.7 || 6.7 | 7.3 || 6.7 | 4.8 || 3.4 | 2.7 || 7.8 | 8.1 || 7.0 | 5.9 || 3.6 | 1.8 || 3.9 | 3.7 || 5.7 | 4.8 || 8.3 | 9.7 || 9.0 | 9.8 || 8.0 | 8.3 |**Scatter Plot:**- The scatter plot visualizes the relationship between the \( x \) and \( y \) values.- Each point represents a data pair from the table.- The \( x \)-axis ranges from 1 to 11, while the \( y \)-axis ranges from 0 to 11.- A general upward trend is observed in the data points, indicating a positive correlation between \( x \) and \( y \).**Least-Squares Regression Line:**- The graph prompts sketching an approximate least-squares regression line.- This line minimizes the sum of the squared differences between observed values and the values predicted by the line.- The icon next to the graph suggests tools for drawing or interacting with the plot.For a more detailed study, analyze the scatter plot to assess the strength and direction of the linear relationship, which aids in understanding how variable \( y \) changes with \( x \).

Solution: The given data for X and Y isProcedure: Enter the data in excel. Click on Insert>Scatter>Scatter with only markers. Click on scatter plot. under the design bar select layout 9. Output:

Answered: Bivariate data for the guantitative…

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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Is It Getting Harder to Win a Hot Dog Eating Contest?Every Fourth of July, Nathan’s Famous in New York City holds a hot dog eating contest. The table below shows the winning number of hot dogs and buns eaten every year from 2002 to 2015, and the data are also available in HotDogs. The figure below shows the scatterplot with the regression line. Year Hot Dogs 2015 62 2014 61 2013 69 2012 68 2011 62 2010 54 2009 68 2008 59 2007 66 2006 54 2005 49 2004 54 2003 45 2002 50 Winning number of hot dogs in the hot dog eating contest Winning number of hot dogs and buns Click here for the dataset associated with this question. (a) Is the trend in the data mostly positive or negative? Positive Negative (b) Using the figure provided, is the residual larger in 2007 or 2008?Choose the answer from the menu in accordance to item (b) of the question statement 20072008 Is the residual positive or…
Use the table of x and y values below to determine the slope of the least-squares regression line.
Bivariate data for the quantitative variables x and y are given in the table below. These data are plotted in the scatter plot shown next to the table. In the scatter plot, sketch an approximation of the least-squares regression line for the data. y 6.1 7.2 9.3 8.0 10.0 8.3 1.4 3.3 3.0 3.5 10- 4.7 5.8 4.2 5.1 7.0 5.8 2.0 3.8 7.9 7.7 4+ 5.4 5.9 7.4 6.6 6.4 5.5 9.5 8.4 3.5 4.8 0 5 6 7 8 9 10 11 4.5 4.6 2.6 2.5 8.4 7.6 5 ? 8
A scatter plot shows the relationship between two quantitative variables. Each of the six scatter plots pictured shows the least-squares regression line for the corresponding data set. Classify each scatter plot according to whether the least-squares regression line has a meaningful ?y-intercept value.
Report the equation of the regression line and interpret it in the context of the problem
Draw a graph of the least-squares regression line on your scatterplot. (For hand-drawing, round the slope and y-intercept to one decimal place before drawing the line.) Be sure to show how you were able to plot the line starting with its equation. Model City Miles per Gallon Highway Miles per Gallon Acura RLX 20 29 BMW 530i 24 34 Buick LaCrosse eAssist 25 35 Chevrolet Malibu 29 36 Ford Hybrid FWD 43 41 Honda Civic 32 42 Infiniti Q50 Red Sport 20 26 Kia Forte 30 40 Lexus ES 350 22 33 Mercedes Benz AMG S 21 30 Mini Cooper Clubman 24 32 Nissan Maxima 20 30 Suburu Legacy AWD 25 34 Toyota Prius ECO 58 53
Prev The table below gives the list price and the number of bids received for five randomly selected items sold through online auctions. Using this data, consider the equation of the regression line, y = bo + b₁x, for predicting the number of bids an Item will receive based on the list price. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, In practice, It would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Price in Dollars 28 33 36 42 45 Number of Bids 1 7 8 9 10 Step 3 of 6: Find the estimated value of y when x = 33. Round your answer to three decimal places. Table Copy Data Next
a) Determine the least squares regression equation for the population in years since 2005. Round the slope and y-intercept to the nearest tenth. b) Find the correlation coefficient, r-value, of the line. Round your answer to the nearest thousandth. c) Predict the population for the 2020. ____ thousand people
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 3 4 5 6 7 8 Age 30 50 40 55 30 28 60 25 Sick Days 7 4 3 2 9 10 0 8 Copy Data The estimated regression line and the standard error are given. Sick Days = 14.310162 - 0.2369(Age 9 10 30 45 5 2 Se = 1.682207 Find the 95% confidence interval for the average number of sick days an employee will take per year, given the employee is 26. Round your answer to two decimal places.
PVan
please answer for what is the p value
Prev The table below gives the age and bone density for five randomly selected women. Using this data, consider the equation of the regression line, y = bo + b₁x, for predicting a woman's bone density based on her age. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, In practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Age Bone Density 61 62 68 69 40 357 350 343 340 315 Step 1 of 6: Find the estimated slope. Round your answer to three decimal places. Table Copy Data Next

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