A researcher wants to predict the maximum distance at which a sign is legible for a 55 year old. Their exploratory dataanalysis yields correlation coefficient r=-0.793 and the information in the graphic. Mark all of the correct statements,below.Sign Legibility Distance (feet)600500400300T1525Distance5763 * Age35 45 55 65 75 85Driver Age (years)O There is a moderately strong negative linear relationship between driver's age and the maximum distance at which a sign is legible.O The maximum distance at which a sign is legible generally decreases with age.For every year a driver gets older, the maximum distance at which he/she can read a sign decreases, on average, by 3 feet.O The maximum distance at which a 55 year old person can read a highway sign is, on average 450 feet.

The correlaetion coefficient is -0.793We know that correlation coefficient used for measure…

Answered: A researcher wants to predict the…

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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For a data set of chest sizes (distance around chest in inches) and weights (pounds) of seven anesthetized bears that were measured, the linear correlation coefficient is r = 0.715. Use the table available below to find the critical values of r. Based on a comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation? Click the icon to view the table of critical values of r. The critical values are (Type integers or decimals. Do not round. Use a comma to separate answers as needed.) Since the correlation coefficient r is in the right tail above the positive critical value, there is sufficient evidence to support the claim of a linear correlation. Table of Critical Values of r - X Number of Pairs of Data n Critical Value of r 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 Print Done ×
An aerobic exercise instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. (A graphing calculator is recommended.) Age (x years) 20 40 60 Maximum heart rate(y beats per minute) 166 150 134 (a) Find the linear correlation coefficient for the data. (Round your answer to two decimal places.)(b) What is the significance of the value found in part (a)? The graph of the regression points passes through all three data points.One of the data points is the y-intercept. The linear correlation coefficient should always be positive.The graph of the regression points passes through none of the data points.The slope of the regression is about half of what the expected value is. (c) Find the equation of the least-squares regression line. (Round your answers to two decimal places.)ŷ = (d) Use the equation of the least-squares line from part (c) to predict the maximum…
A correlation coefficient provides two pieces of information about a relationship between two variables. These are -Strength; direction of relationship - Direction, proportions - Direction, which one causes which - Which one causes which, effect size. READ FIRST: Show as much of your work in the text box below as possible, and include the rest in your scratch work. Scratch work supports what you write on this exam form. At the minimum, type your answers to each of the following 5 questions A-E in the text box - do not refer me to your scratch work for the answers. Do show your work (on the exam form or scratch work) for the calculations needed to answer B, so partial credit can be given in the case of a math error that throws off your calculations. The best way to do this is inside tables if possible. Total 10 15 You conduct a survey to find out whether talking on a cell phone during a romantic date bothers people. You want to find out if there is a gender difference on this issue,…
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For a data set of chest sizes (distance around chest in inches) and weights (pounds) of ten anesthetized bears that were measured, the linear correlation coefficient is r=0.906. Use the table available below to find the critical values of r. Based on a comparison of the linear correlation coefficientr and the critical values, what do you conclude about a linear correlation? Click the icon to view the table of critical values of r. The cnitical values are (Type integers or decimals. Do not round. Use a comma to separate answers as needed.) it:
Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. x 3 7 15 32 75 y 40 35 30 26 18 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Would you say the correlation is low, moderate, or strong? positive or negative? strong and negative moderate and negative strong and positive low and negative low and positive moderate and positive (c) Use a calculator to verify that Σx = 132, Σx2 = 6932, Σy = 149, Σy2 = 4725, and Σxy = 2997. Compute r. (Round your answer to three decimal places.)r = As x increases, does the value of r imply that y should tend to increase or decrease? Explain. Given our value of r, we cannot draw any conclusions for the behavior of y as x increases. Given our value of r, y should tend to…
For a data set of chest sizes (distance around chest in inches) and weights (pounds) of twelve anesthetized bears that were measured, the linear correlation coefficient is r= 0.276. Use the table available below to find the critical values of r. Based on a comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation? Click the icon to view the table of critical values of r. The critical values are Table of Critical Values of r IT Number of Pairs of Data n Critical Value of r 4 0.950 0.878 0.811 7 0.754 0.707 0.666 10 0.632 11 0.602 12 0.576
The data below shows the selling price (in hundred thousands) and the list price (in hundred thousands) of homes sold. Construct a scatterplot, find the value of the linear correlation coefficient r, and P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between the two variables? Selling Price (x) List Price (y) H₁: p#0 400 412 Construct a scatterplot. Choose the correct graph below. 301 315 376 387 434 440 459 488 H₁ p > 0 477 480 319 324 352 368 417 434 330 341
After gathering data about the number of starfish and measuring the pollution in areas of the ocean you find a negative linear correlation between pollution levels and number of starfish. What can you conclude based on this information? a. There is a confounding variable that is affecting both pollution and starfish. b. As pollution rises the number of starfish falls c. That pollution is causing starfish to die, leading to the negative correlation d. That pollution is supporting starfish, leading to the negative correlation
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Below is a subset of the data on quality of marriage and quality of parent-child relationship. Using the data provided below, calculate the correlation between the two variables. You should calculate the correlation "by hand" and show your work that led to the solution (take a picture of your hand-written notes and insert it into this document) Quality of marriage Quality of parent-child relationship 1 5 2

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