In two sets of variables X and Y with 50 observations each, the following data were observedX = 10, S.D. ofx3D37=6, S.D. of Y = 2the Coeficient of correlation between X and Y is 03. However, on subsequent verification it was found pair (X = 10, Y = 6) was inaccurate and hence weeded out. With the remaining 49 pairsof values, how is the original value of correlation coefficient affected ?

Given: Number of observations is 50 Coefficient of correlation r=0.3 Mean of X is X¯=10 Standard…

Answered: In two sets of variables X and Y with…

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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Suppose that a researcher obtains a correlation of r equals 0.60 for a sample of n equals 10 participants. Is this sample sufficient to conclude that a significant correlation exists in the population? Use a two-tailed test with alpha equal .05 if the sample had n equals 25 participants is the correlation significant? Use a two tailed test with alpha .05. What can you say about sample size based on your findings?
The maximum weights (in kilograms) for which one repetition of a half squat can be performed and the jump heights (in centimeters) for 12 international soccer players are shown in the attached data table with a sample correlation coefficient r of 0.771. Remove the data entry for the international soccer player with a maximum weight of 180 kilograms and a jump height of 64 centimeters. Describe how this affects the correlation coefficient r.
It was discovered that 10 students' marks in two specific topics had a coefficient or rank correlation of 0.5. Later, it was determined that the student's difference in scores across two disciplines had been miscalculated, being recorded as 3, rather than 7. What should the proper value of the rank correlation coefficient be?
Suppose the correlation coefficient between FEV for 100 sets of identical twins is .7, whereas the comparable correlation for 120 sets of fraternal twins is .38. Suppose the correlation coefficient between weight is .78 for the 100 sets of identical twins and .50 for the 120 sets of fraternal twins. *11.12 Test for whether the true correlation coefficients differ between these groups. Report a p-value.
Suppose the scatter diagram of a random sample of data pairs (x,y) shows no linear relationship between x and y. Do you expect the value of the sample correlation coefficient r to be close to 1, -1,or 0?
For a data set of brain volumes (cm3) and IQ scores of five males, the linear correlation coefficient is found and the P-value is 0.619. Write a statement that interprets the P-value and includes a conclusion about linear correlation. The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is nothing%, which is ▼ high, low, so there ▼ is is not sufficient evidence to conclude that there is a linear correlation between brain volume and IQ score in males. (Type an integer or a decimal. Do not round.)
Suppose we record the husband’s age and the wife’s age for many randomly selected couples. What would it mean about ages of couples if these two variables had a negative relationship?What would it mean about ages of couples if these two variables had a positive relationship?Which do you think is more likely, a negative or a positive relationship?Do you expect a strong or a weak relationship in the data? Why?Would a strong correlation imply there is an association between husband age and wife age?
For a data set of brain volumes (cm3) and IQ scores of eight males, the linear correlation coefficient is found and the P-value is 0.231. Write a statement that interprets the P-value and includes a conclusion about linear correlation.The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is [WHAT PERCENT] which is [LOW OR HIGH] so there [IS OR IS NOT] sufficient evidence to conclude that there is a linear correlation between brain volume and IQ score in males.(Type an integer or a decimal. Do not round.)
A sociologist claims that the success of students in college (measured by their GPA) isrelated to their family’s income. For a sample of 20 students, the correlation coefficientis 0.40. Using the .01 significance level, can we conclude that there is a positive correlation between the variables?
If the coefficient of correlation between two variables is -0.6, What is the coefficient of non-determination?
The accompanying technology output was obtained by using the paired data consisting of foot lengths (cm) and heights (cm) of a sample of 40 people. Along with the paired sample data, the technology was also given a foot length of 23.5 cm to be used for predicting height. The technology found that there is a linear correlation between height and foot length. If someone has a foot length of 23.5 cm, what is the single value that is the best predicted height for that person? The single value that is the best predicted height is _____cm. The regression equation is Height=50.8+3.20 Foot Length Predictor Coef SE Coef T P Constant 50.82 11.65 4.36 0.000 Foot Length 3.1982 0.4903 6.52 0.000 S=5.50372 R-Sq=71.7% R-Sq(adj)=71.0% Predicted Values for New Observations New Obs Fit SE Fit 95% CI 95% PI 1 125.978 1.744 (121.356, 130.600) (114.681, 137.275) Values of Predictors…
Suppose that you want to run 4 correlations, and you want your Experiment Wise α (EWα) to be .05. What Per-Comparison α (PCα) would you use if you applied the Bonferroni procedure?

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