Statistics topic:The coefficient of correlation betweenages of husbands and wives in acommunity was found to be 0.8, theaverage of the husband's age was 25years and that of wives' age was 22years. The standard deviations were 4and 5 respectively. Find with the help ofregression equations :(1) The expected age of the husbandwhen wife's age is 18 years, and(ii) The expected age of the wife whenhusband's age is 32 years.

Given: Let husband and wives be denoted by x and y. r=0.8x¯=25y¯=22sx=4sy=5

Answered: The coefficient of correlation between…

The coefficient of correlation between ages of husbands and wives in a community was found to be 0.8, the average of the husband's age was 25

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 8P: Noise and Intelligibility Audiologists study the intelligibility of spoken sentences under different...

See similar textbooks

Related questions

Q: Jewel wanted to know if there was a correlation between the weight of a dog and its age. She…

A: Correlation: Correlation a measure which indicates the “go-togetherness” of two data sets. It can be…

Q: what is a quantitative variable that would have a positive correlation with credit scores? That is,…

A: Correlation between two variables measure the strength and direction between two variables. It…

Q: Compute the correlation coefficient, of the hours and final grade.

A: Let X denotes the Hours of study and Y denotes Final grade for given subjects. To find : Correlation…

Q: The correlation between the depth (in feet) and length (in feet) for a sample of caves is found to…

Q: The correlation coefficient between people who get less than six hours sleep at night and caffeine…

A: HERE GIVEN CORELATION COEFFICEINT BETWEEN CAFINE INTAKE AND SIX HOURS SLEEP IS 0.39

Q: Choose the most appropriate completion of the sentence. In order to indicate a strong correlation…

A: Correlation is defined as the linear relationship between the two variables. The range of the…

Q: You find that the correlation between two variables is equal to +.77. First, judge the sign (+ or −)…

A: Correlation:Correlation a measure which indicates the “go-togetherness” of two data sets. It can be…

Q: The correlation of the relationship between the number of reaches into the bag and the number of…

Q: The age in months and the height in inches of a young child are known to have a strong positive…

A: Given: The age in months and the height in inches of a young child are known to have a strong…

Q: A researcher finds that the correlation between the personality traits"greed" and "superciliousness"…

Q: A strong positive correlation can be shown between the amount of damage caused by a fire and the…

A: Correlation: Correlation a measure which indicates the “go-togetherness” of two data sets. It can be…

Q: If the coefficient of correlation between two variables is -0.6, What is the coefficient of…

Q: Suppose the correlation value between two variables is calculated to be 0.818. How would you…

A: Concept: Correlation can be defined as the linear relationship between the two quantitative…

Q: Describe the relationship between the variables based on your calculations of both the correlation…

Q: A researcher found the correlation between age of death and number of cigarettes smoked per day to…

A: Given That Correlation between age of death and number of cigarettes smoked per day is - 0.95.

Q: A researcher finds a significant correlation between the amount of time spent watching television…

A: No, Given statement is FALSE

Q: A study conducted by students in an AP Psychology classat South Kent School in CT discovered a…

A: Solution: The sign and the value of the correlation coefficient indicates that there exists…

Q: The correlation between weight and income is .60 among males and is -.40 among females. Explain the…

A: Correlation: Correlation is the measure of association between two variables in which one variable…

Q: If there is a strong negative linear correlation between the amount of money in the bank and the…

A: A strong negative correlation is when one of two variables increases in value while the other…

Q: Suppose that the correlation coefficient between study time (in hours) and GPA was found to be 0.43.…

A: Given that the correlation coefficient between study time (in hours) and GPA was found to be 0.43

Q: To study the correlation between the weights and heights of the students of a college, a sample of…

Q: A researcher says that 50% of the variance in blood pressure can be predicted from heart rate and…

A: It is given that the percentage of the variance in blood pressure can be predicted from heart rate…

Q: Dr. Smith found a Pearson correlation of +.72 between class attendance and exam scores. To better…

A: Spearman’s rank correlation coefficient:Spearman’s rank correlation coefficient is denoted by ρ. It…

Q: A study performed in 1990 showed that the correlation between the number of births and number of…

A: From the given information, A study performed in 1990 showed that the correlation between the number…

Q: A correlation coefficient of 0.5 does not mean that 50% of the data are explained. Comment.

A: Given that The correlation coefficient of 0.5 does not mean that 50% of the data are explained

Q: The correlation between years of Training and income in a sample of 20 people from a certain company…

Q: A researcher says that 50% of the variance in blood pressure can be predicted from HR and that blood…

A: Coefficient of determination: The proportion of the variance in the dependent variable which is…

Q: If a researcher measured hearing acuity and age for a group of people who were 50 to 90 years old,…

A: If a researcher measured hearing acuity and age for a group of people who were 50 to 90 years old,…

Q: An investigator collected data on heights and weights of college students. The correlation between…

Q: 1. A relationship between height (in inches) and arm length (in inches) was found to have a…

Q: Suppose the correlation, r, between two variables x and y is –0.44. What percentage of the…

A: From the given information,Correlation coefficient = -0.44,Coefficient of correlation is the linear…

Q: To study the correlation between the weights and heights of the students of a college, a sample of…

Q: What is the relationship between positive and negative linear correlations and how are they…

Q: Describe the range of vakues for the correlation coefficient.

A: Solution-: We describe the range of values for the correlation coefficient.

Q: What is the value of the correlation coefficient r across the entire data set (all 10 students)?

A: INTRODUCTION : CORRELATION: In a bivariate distribution, we may be interested to find out if…

Q: Report the correlations between the three independent variables (age, educ and Protestant) and your…

A: The correlation is used to estimate whether there is any significance relationship between the two…

Q: The number of wins for a high school football team is measured for the season. When the team plays…

A: Given information: r=-0.11

Q: The correlation between the price indices of animal feeding-stuffs and home-grown cats in a sample…

Q: A study reported a correlation between height and weight r = .5, p < 0.05. What is the proportion of…

A: Here correlation between height and weight is r = 0.5 and p<0.05

Q: Explain how to interpret the absolute value of a correlation coefficient.

A: We know, The correlation coefficient measures the linear relationship between the two numerical…

Q: A company wishes to know whether advertising expenditure is related to sales volume. Using the past…

Q: Suppose the correlation between height and weight for adults is +0.40.What proportion (or percent)…

A: Given that correlation between height and weight for adults is 0.40.So r = 0.40.The Coefficient of…

Q: A study shows a strong positive correlation between the number of firefighters at a fire site and…

A: Explain the given statement can conclude that more firefighters cause more damage .

Q: If you found a strong positive correlation between the number of hours learners spent reading their…

A: Correlation between the variables only determines the association. It does not give the cause and…

Q: A study was done that looked at how much red meat people consumed and how long they lived. The…

A: Given information- The value of correlation coefficient, r = 0.98 P-value = 0.0005 Since we know…

Q: The correlation should be around zero if the scatter plot reveals a set of data points that form a…

A: From scatter plot we can estimate the correlation Coefficient value

Q: Dr. Song calculates a correlation coefficient of -.14 between the number or pizzas eaten and scores…

A: Correlation coefficient:It measures the relationship between two variables. The range of correlation…

Question

Statistics topic:
The coefficient of correlation between
ages of husbands and wives in a
community was found to be 0.8, the
average of the husband's age was 25
years and that of wives' age was 22
years. The standard deviations were 4
and 5 respectively. Find with the help of
regression equations :
(1) The expected age of the husband
when wife's age is 18 years, and
(ii) The expected age of the wife when
husband's age is 32 years.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here