The maximum weights (in kilograms) for which one repetition of a half squat can be performed and the times (in seconds) to run a 10-meter sprint for 12 international soccer players are shown in theattached data table with a sample correlation coefficient r of -0.962. A 13th data point was added to the end of the data set for an international soccer player who can perform the half squat with amaximum of 210 kilograms and can sprint 10 meters in 2.01 seconds. Describe how this affects the correlation coefficient r. Use technology.Click the icon to view the data set.The new correlation coefficient r(Round to three decimal places as needed.)going from 0.962 to Player12 3 4 5 6 7 8910111213Maximum weight, x Time, y1.791.762.031.422.041.611.711.921.611.641.971.882.01175180160205155195190160190180155170210

The correlation shows a relationship between two variables.

Answered: The maximum weights (in kilograms) for…

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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Ten children took part in a study at their dentist’s office. The dentist collected data on how many pieces of candy the children ate after Halloween and the number of cavities six months later. A correlation was conducted between pieces of candy consumed after Halloween and number of new cavities after Halloween. The Pearson correlation was .892, with p < .001. What can you conclude about the relationship between pieces of candy consumed after Halloween and the number of new cavities after Halloween? Be sure to state your statistics in APA style
A university would like to describe the relationship between the GPA and the starting monthly salary of a graduate who earned a business degree from the university. The table shown below gives the monthly starting salaries for five graduates of the business school along with their corresponding GPAs. These data have a sample correlation coefficient, rounded to three decimal places, of 0.965. Using x=0.10, test if the population correlation coefficient between the starting salary and the GPA of a university business graduate is greater than zero. Starting Salary $2,600 $2,900 GPA 3.1 3.4 What are the correct null and alternative hypotheses? O A. Ho: p0. H₁₂₁: p=0 $2,400 2.6 O C. Ho: p≤0 H₁: p>0 What is the test statistic? t = (Round to two decimal places as needed.) What is the p-value? p-value = (Round to three decimal places as needed.) State the conclusion. Ho. There $2,900 3.7 $2,200 2.5 OB. Ho: p=0 H₁:p #0 O D. Ho: p20 H₁: p<0 enough evidence from the sample to conclude that p is…
A data set contains information on the grams of fat and number of calories in 24 different fast foods. The correlation coefficient between fat content and calories is determined to be -0.63. Calculate the p-value for the test of significance.
Dr. Watts is a pediatrician. His group did some research on the sleep habits of children less than 24 months old. They found a weak negative correlation between a child’s age and the number of hours per day he or she slept. What does this mean? As a child’s age increases, the hours of sleep decreases in a nearly perfect pattern. As a child’s age increases, the hours of sleep increases in a nearly perfect pattern. As a child’s age increases, the hours of sleep decreases but the relationship is not perfect. As a child’s age increases, the hours of sleep increases but the relationship is not perfect.
The professor of an introductory statistics course has found something interesting: there is a small correlation between scores on his first midterm and the number of years the test-takers have spent at the university. For the 55 students taking the course, the professor found that the two variables number of years Espa spent by the student at the university and score on the first midterm have a sample correlation coefficient r of about -0.36. Test for a significant linear relationship between the two variables by doing a hypothesis test regarding the population correlation coefficient p. (Assume that the two variables have a bivariate normal distribution.) Use the 0.05 level of significance, and perform a two-tailed test. Then complete the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H . Aa 0, B H, :0 H : O=0 (b) Determine the type of test statistic to use. (Choose one) ▼ O
For a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears. Minitab was used to find that the value of the linear correlation coefficient is r = 0.862. Using a = 0.05, determine if there is a linear correlation between chest size and weight. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size? Click here to view a table of critical values for the correlation coefficient. a. Is there a linear correlation between chest size and weight? O A. No, because the absolute value of r exceeds the critical value of 0.707. O B. Yes, because r falls between the critical values of -0.707 and 0.707. O C. Yes, because the absolute value of r exceeds the critical value of 0.707. O D. The answer cannot be determined from the given information. b. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size? (Round to three decimal…
A researchers says that 50% of the variance in blood pressure can be predicted from HR and that blood pressure is postively associated with HR. What is the correlation between blood pressure and HR?
Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying display. Is there sufficient evidence to support Correlation Results the claim that there is a linear correlation between the weights of bears and their chest sizes? When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that Correlation coeff, r: 0.959614 a measured chest size can be used to predict the weight? Use a significance level of = 0.05. Critical r: +0.2680855 P-value (two tailed): 0.000 Но: Р H1:P (Type integers or decimals. Do not round.) Identify the correlation coefficient, r. (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) O A. There is one critical value at r= . B. There are two critical values at r= ± Is there sufficient evidence to support the claim that there is a linear correlation between…
Given two sets of data X and Y, what does a Spearman's Correlation coefficient of 1 indicate about the relationship between X and Y?
A data set contains information on the grams of fat and number of calories in 25 different fast foods. The correlation coefficient between fat content and calories is determined to be 0.69. Calculate the p-value for the test of significance.
A data set contains information on the grams of fat and number of calories in 25 different fast foods. The correlation coefficient between fat content and calories is determined to be 0.62. Calculate the p-value for the test of significance.

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