QUESTION 3Which of the following statements does NOT contain a mistake?O The corelation coefficient between a student's EmSAT score and his/her GPA was found to be w1.05.O The correlation between the age and height of children was found to ber-0.95.O The correlation between the height of a college student and hisher weight is r0.81 kg/om.There is a corelation of r=0.75 between the major of the student and the time he/she spends on social media

Answered: Which of the folowing statements does…

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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Click this Video for Finding Correlation Coefficient by Using Formula. Yessica thought that there was a correlation between the amount of time students slept the evening before their final exam and their final exam grade. She took an SRS of 5 students in her class and recorded the sleep time the evening before their final exam, and their final exam score. Let the sleep time the evening before the final exam represents the explanatory variable, and the final exam score be the response variable. Below is a sample data set. x (hour) 8 9 3 9 1 2 3 4 5 Calculate the sample correlation coefficient (r) to three decimal places. r= 9 Why would we expect the correlation coefficient to be positive? As the sleep time increases, exam score increases As the sleep time increases, exam score decreases As the sleep time decreases, exam score increases There is no change in exam score to sleep time C E y (score) 91 94 51 100 90 C A
Suppose the correlation coefficient r=0.16 Find:a. The coefficient of determination r2= (round to 3 decimal places)b. The percentage of explained variation = % (round to 1 decimal place)c. The percentage of unexplained variation = % (round to 1 decimal place)
2. State whether the variables described have a positive correlation, a negative correlation, or no correlation. (a) Income and SAT scores (b) Length of a person's hair and how far they sit from the screen in a movie theater. (c) Hours of exercise per week and blood pressure.
The correlation between height and weight of a sample of 100 individuals is calculated to be 0.8 using Pearson's r. What can we conclude about the relationship between height and weight in the population from which the sample was taken?
3.If the r value = .913, how do you classify it? Group of answer choices Weak Negative Correlation Strong Negative Correlation Weak Positive Correlation Strong Positive Correlation
Here is a scatterplot. Give an estimate for the correlation coefficient r and explain how you made your choice.
Which ONE of the following statements regarding 0.581 on the summary output is correct? Group of answer choices 0.581 is the correlation for TIP and PREDICTED-SALES AMOUNT. -0.581 (negative 0.581) is the correlation for SALES AMOUNT and TIP. -0.581 (negative 0.581) is the correlation for TIP and PREDICTED-TIP. 0.581 is the correlation for TIP and PREDICTED-TIP. -0.581 (negative 0.581) is the correlation for SALES AMOUNT and PREDICTED-TIP. 0.581 is the correlation for SALES AMOUNT and PREDICTED-SALES AMOUNT.
Each given statement contains a blunder. In cach case, choose the statement that correctly explains the blunder. "There is a high correlation betwoen the "We found a high correlation (= 109) "The correlation between height and sex of American workers and their between students' ratings of faculty teaching and ratings made by other faculty members." weight of the subjects was 0.63 income." centimeters."
A correlation study provides the following data: r = -.74 and the study involved 62 participants What is the effect size? NOTE: Please only report the number (and as always, do not Hl markvour ans wer as invalid)
urce For a data set of chest sizes (distance around chest in inches) and weights (pounds) of eleven anesthetized bears that were measured, the linear correlation coefficient is r=0.861. 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. pe here to search Table of Critical Values of r Number of Pairs of Data n 4 5 6 7 8 9 10 11 12 Print Et Critical Value of r 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 Done 99+ - X 3 + C More Clear all Check answer 82°F & 01
A psychologist has calculated the correlation between two variables as 0.9. Which of the following statements is correct? a. The average value of y changes by 0.9 when x is increased by 1. b. The average value of x changes by 0.9 when y is increased by 1. c. The explanatory variable ( x ) explains 0.9 of the variation in the response variable ( y ) d. The explanatory variable ( x ) explains 0.81 of the variation in the response variable ( y )

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