An aerobic exercise instructor remembers the data given in the following table, which shows therecommended maximum exercise heart rates for individuals of the given ages.Age (x years)2030405060Maximum heart rate170168153147136(y beats per minute)Find the linear correlation coefficient for the data.

Let us determine the linear correlation coefficient for the given data in the next steps.

Answered: An aerobic exercise instructor…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Use the data values in the table below to calculate the correlation between the variables x and y. Submit the link through Canvas to either a photo of your work on paper or a link to a google sheet. y 1 17.15 2 14.28 3 12.01 4 6.64 3.67 3.4 Give your answer to three decimal places.
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
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
You might expect the correlation between the horsepower of new cars and their gas mileages in miles per gallon to be: Group of answer choices A substantial negative correlation A substantial positive correlation A small correlation
Use the data values in the table below to calculate the correlation between the variables x and y. Submit the link through Canvas to either a photo of your work on paper or a link to a google sheet. y 5 2.86 4.48 7 3 8. 3.92 3.34 10 0.96 11 2.38 12 2.8 Give your answer to three decimal places. Submit Question 6.
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Determine the correlation coefficient for the data shown in this table: x 1 8 8 15 14 20 y 42 38 30 20 18 11
Prove the identity 28in CA+ )•cos (A+ ) = 2 cos A-1 %3D
The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant linear correlation between ticket price and number of attendees. Use a significance level of 0.01 and round all values to 4 decimal places. Ticket Price 6 10 14 18 22 26 30 r= Ho: p= 0 Ha: p=0 Find the Linear Correlation Coefficient Find the p-value p-value= Attendence 151 146 146 145 The p-value is 138 137 137 O Less than (or equal to) a O Greater than a The p-value leads to a decision to Accept Ho Reject Ho Do Not Reject Ho The conclusion is There is insufficient evidence to make a conclusion about the linear correlation between ticket price and attendance. There is a significant negative linear correlation between ticket price and attendance. There is a significant positive linear correlation between ticket price and attendance. There is a significant linear correlation between ticket price and attendance.
The table below illustrates the College Placement Exam rating and the GWA of students in one semester. Find the linear correlation coefficient for the data Student 1 3 4 5 7 8 9 10 Placement Exam 83 89 92 77 81 81 85 85 87 84 GWA 83 85 90 80 83 85 87 84 90 85 Select the correct response: 0.8134 0.0162 0.7207 0.9201
Police sometimes measure shoe prints at crime scenes so that they can learn something about criminals. Listed below are shoe print lengths and heights of males. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.01. Click to view the data on shoe print lengths and heights. Construct a scatterplot. Choose the correct graf Shoe Print Lengths versus Heights of Males O B. OD. 210- 200- 190- 180- 170- 160- 20 24 28 32 36 40 Shoe Print Length (cm) 210 200 190 180 170 160 2101 200- Shoe Print 190- Length (cm) Height (cm) 176.0 180- 170- 160- 20 24 28 32 36 40 31.4 28.9 181.2 31.5 194.5 Shoe Print Length (cm) 32.3 172.9 30.4 174.0 The linear correlation coefficient is r= 32.9 190.5 (Round to three decimal places as needed.) 31.0 176.6 30.8 170.0 30.5 171.9 32.3 175.5 30.5 200.1 32.6 199.3…
The data below was collected from manufacturer advertisements of their vehicles horsepower and highway gas mileage (mpg.). Use this data to answer the following questions. 158 250 340 350 390 190 220 y 33 28 15 17 11 35 42 1. Find the p-value to determine if there is a linear correlation between horsepower and highway gas mileage (mpg). Record the p-value below. Round to four decimal places. p-value = 2. Is there a linear correlation between horsepower and highway gas mileage (mpg)? 3. If there is a linear correation, write the correlation coefficient below. Otherwise, leave it blank. Round your final answer to four decimal places. 4. If there is a linear correlation, write the regression equation below. Otherwise, leave it blank. Round all numbers to four decimal places. 5. Using the data shown above, predict the the highway gas mileage (mpg) for a car that has a horsepower of 225. Round your final answer to two decimal places. 6. If there is a linear correlation, what percentage of…

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