Luca is investigating how long his phone's battery lasts (in hours) for various brightness levels (on a scale of0-100). His data is displayed in the table and graph below.Brightness Level (x)333548648996982I--Hours (y)5.76.35.34.23.3110 20 30 40 50 60 70 80 90 100 110Brightness LevelCalculate the correlation coefficient. Round accurately to at least three decimals.Use the correlation coefficient to describe the strength and direction:

The given data is displayed in the below table: Brightness Level (x)Hours…

Answered: Luca is investigating how long his…

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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Using the following information select the appropriate interpretation for the correlation coefficient: Variables being compared are age in years and annual salary. r = +0.12 A. It indicates a weak negative correlation which implies, as age increases annual salary decreases B. It indicates a strong negative correlation which implies, as age increases annual salary decreases C. It indicates a weak positive correlation which implies, as age increases annual salary also increases D. It indicates a strong positive correlation which implies, as age increases annual salary also increases
approximately the same amount of wine per week. Here are the data (for drinkers only):" CANCER Wine intake x 2.5 8.5 15.5 26.5 (grams per day) Relative risk y 1.00 1.08 1.15 1.22 (a) Make a scatterplot of these data. Based on the scatter- plot, do you expect the correlation to be positive or negative? Near ±1 or not? (b) Find the correlation r between wine intake and relative risk. Do the data show that women who consume more wine tend to have higher relative risks of breast cancer? Wine and cancer in women. Some studies have suggested that a nightly glass of wine may not only take the edge off a day but also improve health. Is wine good for your health? A study of nearly 1.3 million middle-aged British women examined wine consumption and the risk of breast cancer. The researchers were interested in how risk changed as wine consumption increased. Risk is based on breast cancer rates in drinkers relative to breast cancer rates in nondrinkers in the study, with higher values indicating…
Using the following information select the appropriate interpretation for the correlation coefficient: Variables being compared are age in years and annual salary. r = -0.15 A. It indicates a weak positive correlation which implies, as age increases annual salary decreases B. It indicates a strong negative correlation which implies, as age increases annual salary decreases C. It indicates a strong positive correlation which implies, as age increases annual salary also increases D. It indicates a weak negative correlation which implies, as age increases annual salary decreases
The following table shows the approximate number of wireless telephone subscriptions in a certain country for recent years. (A graphing calculator is recommended.) Wireless Telephone Subscriptions Year 2005 2006 2007 2008 2009 2010 Subscriptions,in millions 193 220 243 265 279 295 (a) Find the linear correlation coefficient for the data. (Round your answer to three decimal places.) r = ?
Given that the linear correlation coefficient r is found to be 0.867, what is the proportion of the variation in the left arm measurements that is explained by the relationship between the right and left arm measurements? Right arm 102 101 94 79 79 Left arm 175 169 182 146 144
The figure below plots the average brain weight in grams vs. average body weight in kg for 96 mammals. Brain weight (g) 4000- 3500 3000- 2500- 2000- 1500 Dolphin Human 1000- 500- 0 Hippo ▬▬▬▬ 800 1200 1600 2000 2400 2800 Body weight (kg) The correlation is r = 0.86. Explain what this value means. 400 type your answer... Elephant What effect would removing the elephant have on the correlation? Justify your answer. type your answer...
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…
This table shows the minutes students spent studying for their science exam and the scores they received. Study time (min) 19 12 34 10 17 42 60 15 9 21 30 50 Exam score 82 78 90 78 85 97 100 85 73 90 91 98 Use a graphing calculator to model the data using a linear function. What is the correlation coefficient of the data? −0.74 −0.48 0.93 0.98
What is the correlation between happiness and volunteer hours? Enter your value with three decimal places; do not include a zero to the left of the decimal point (i.e., .001, not 0.001, not .01, not .1). You only need to include the direction sign for a negative correlation.
The table below lists the mean systolic blood pressure during surgery (mmHg) along with blood loss (ml). Use this table to answer the next three (3) questions . BP Blood Loss 95274 90 170 Strength of Relationship 125 352 105317 weak moderate 110 171 105 150 90 245 90 120 none none 1/4 * 1/2; 3/4 13. Does the correlation coefficient indicate a strong linear correlation ? ( A) Yes ( B) No 14. Approximately what blood loss would you predict for a blood pressure reading of 140 ( A) 319 (B) 363 ( C) 401 ( D) 635 15. Do these data provide sufficient evidence , at the 0.05 level of significance , to indicate that the two variables are indeed correlated ?
The numbers of pass attempts and passing yards for seven professional quarterback for a recent year are listed in the table below. Round all answers to the nearest 1000th. Pass attempts (x) 449 565 528 197 670 351 218 Passing Yards (y) 3265 4018 3669 1141 5177 2362 1737 Calculate the sample correlation coefficient, r. Describe the type of correlation coefficient and interpret the correlation in the context of the data. Find the equation of the regression line for the data. Use the regression equation to predict the average number passing yards if the pass attempts are 250.
The data below is 12 observations of Math SAT scores (x) and scores on Math placement test (y). Calculate the linear correlation coefficient, rr. Enter your answers to two decimal places. X Y 420 426 410 360 600 575 460 538 550 553 480 407 560 635 450 388 400 383 430 402 470 462 440 437 rr =

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