6. Suppose we know the following information about a set of bivariate data:Var (x) = 7.35Cov (x, y) =-0.58Var (y) =9.8What is the correlation coefficient of the linear least-squares regression? Round your answer to thenearest hundredth.

Answered: What is the correlation coefficient of…

Math

Statistics

What is the correlation coefficient of the linear least-squares regression?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 3E: For the following table of data. x 1 2 3 4 5 6 7 8 9 10 y 0 0.5 1 2 2.5 3 3 4 4.5 5 a. draw a...

See similar textbooks

Related questions

Q: Before an increase in excise duty on tea, 400 people out of a sample of 500 persons were found to be...

Q: Test Score=680- 1.60 ×STR- 0.65 ×PctEL (0.60) 8. n = 500 (8) (0.34) Robust standard errors appear in...

A: Given: The obtained coefficient of PctEL (bp) = -0.65 The standard error of PctEL (SEp) = 0.34 Sampl...

Q: 1. A biologist claims that the mean cholesterol content of chicken eggs can be reduced by giving a s...

A: Given that Hypothesized Population Mean (\mu)(μ) = 280280 Sample Standard Deviation (s)(s) = 2...

Q: while calculating percentile rank there are two formula 1st ) percentile ={ ( number of values be...

A: The percentiles represent the percentage of data which is less than equal to given particular value....

Q: Calculate Karl Pearson's coefficient of correlation from the following data using 20 as the working ...

Q: Question 21: Sara applied for visa to visit four different countries and let X be the number of acce...

Q: Let X be a discrete random variable given as follows. x -2.0 -0.5 1.25 1.5 otherwise ...

Q: Compute weighted Index Number using geometric mean from the following : Index Number : 105 Weight : ...

Q: Suppose you are incharge of rationing in a State affected by food shortage. The following rëports ar...

A: We have to find which of the area need more attention:

Q: Suppose the age that children learn to walk is normally distributed with mean 12 months and standard...

Q: Find the mean of the data summarized in the given frequency distribution. The heights of a group of ...

A: Ans#- Calculate Mean from the following grouped data Height Frequency 70 - 71 1 72 - 73 4 7...

Q: A student ran out of time on a multiple choice exam and randomly guessed the answers for two problem...

Q: DISCRETE / CONTINUOUS DATA Which of the following describe discrete data ? a . The exact heights of ...

A: In the given problem we have to segregate the given data into discreet or continuous data.

Q: The heights above sea level and average winter temperatures of cities in a particular country are co...

A: Given that Sea level: AVG = 5400 ft, SD = 2100 ftAverage winter temperatures: AVG = 40 degrees F, S...

Q: You work for a soft-drink company in the quality control division. You are interested in the standa...

A: The following data is given: X 12.01 12.02 11.69 12.06 12.08 11.99 12.1 12.04 1...

Q: Let X = the number of games won in that upcoming month. What is the probability that the San Jose Sh...

Q: Give at least one example for each type of frequency distribution. Grouped frequency distribution ...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: Find the midrange for the given sample data.

A: Given: Time (X) 14 21 27 38 47 57 61 67 74 75 85 93 132 152

Q: Using the frequency distribution, describe the shape in terms of its skewness and kurtosis (calculat...

A: Number of times a variate value is repeated is called its frequency. For the given data to compute S...

Q: Class Interval Frequency Class Marks Class Boundarieelative Frequen CF 20-26 12 23 19.5-26.5 0.12 12...

A: Given : Class interval Frequency Class Mark Class Boundaries Relative frequency <CF >CF 2...

Q: Find out standard deviation from the following informàtion: Values: 4 8 7 5 12 18 25 28 30 35.

Q: [ Select ] The probability of any event ranges from 0 to 100 inclusive. [Select ] An impossible even...

Q: Below are numbers of hours that a sample of 19 college graduates reported working last week. 61, 69,...

Q: The mean yield of two sets of plots and their variability are as given below. Examine whether the di...

Q: Calculate the co-efficient of correlation and the lines of regression for the following data: x = 1 ...

A: Data given X=1,2,3,4,5,6,7,8,9 Y=9,8,10,12,11,13,14,16,15

Q: Poor Middle Class Well-to-do Total Investigation 30 10 200 A 160 120 40 300 B 140 150 50 500 Total 3...

Q: If 6, and 6, are two unbiased estimators of 0, W, estimator of 0 where W, + W, = 1 1+ W, 6 2 is an u...

Q: According to a Survey, households in the city X spend an average of $24 per week on their leisure ac...

A: Given that μ = 24 , ?2 = 36 , n=100 Note: According to bartleby experts question answers guidelines...

Q: Suppose there is a 11.9% probability that a randomly selected person aged 35 years or older is a jog...

A: Let J shows the event that a randomly selected person aged 35 years or older is a Jogger and F shows...

Q: Construct the 98% confidence interval for the salaries of History professors at local private univer...

A: A range of values can be suggested with a certain amounts of confidence such estimates are called co...

Q: Define Non parametric test. Discuss the advantages and disadvantages.

Q: The average student loan debt for college graduates is $25,600. Suppose that that distribution is no...

Q: The combined SAT scores for the students at a local high school are normally distributed with a mean...

A: Given,mean(μ)=1458standard deviation(σ)=299

Q: B. Perform Dixon's Q-test and Grubb's test for the following set of data points. Make a conclusion t...

Q: Define : (i) Dichotomy, (ii) Classes and class frequencies.

Q: (a) One day, you're feeling a little under the weather. Since you're a responsible human being, you ...

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a...

Q: Calculate the probability of 800 heads in 1600 tosses of a coin. If you cannot solve this exactly, ...

A: Givenn=1600p=12=0.5 ( getting head in one toss)x~Binomial(n=1600,p=0.5)P(X=x)=(nx)×Px×(1-p)n-x ...

Q: According to the Pak Car Dealers, the mean price for used cars isRs. 900,000. A Firm reviewed a samp...

A: Given Data National mean=900000

Q: In order to test the null hypothesis, the t calculated is equal to: O 3.895 O 3.878 O 3.932 O 3.914

A: Given data : X(Income ) Y(education ) 30 12 28 12 52 18 40 16 35 16

Q: The exam has 14 questions, and the total number of marks for the exam is 100. In how many ways can t...

Q: Question 21: Sara applied for visa to visit four different countries and let X be the number of acce...

Q: A random variable x has a density function f(x) = C*+1), where 0 < x < 2 2 Find: 1. The value of con...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: The data concerning height measurement for a random sample of individuals from a given population ar...

Q: A lottery exists where balls numbered 1 to 17 are placed in an urn. To win, you must match the five ...

A: We have to use permutation. Permutation is the arrangement of subjects in which order matters. Form...

Q: Q.4. Obtain the equation of the line of regression of y on x from the following data and estimate th...

A: The value changes over a period time are used to predict the future value. It can be estimated using...

Q: A random Sample of 100 patients suffering from a certain disease was given a serum treatiment. It wa...

Q: Sara works for a hair salon and receives tips from her customers. The weekly tips(in AED) she receiv...

Q: 6.96 [Data Set: LO6096] A random sample of n= 6 observations from a normal distribution resulted in ...

A: Given: n=6 95% CI x 8 2 3 7 11 6

Q: The trend of thinner beauty pageant winners has generated charges that the contest encourages unheal...

Q: Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more d...

Question

Suppose we know the following information about a set of bivariate data:
Var (x) = 7.35
Cov (x, y) =-0.58
Var (y) =9.8
What is the correlation coefficient of the linear least-squares regression? Round your answer to the
nearest hundredth.

Expert Solution

Step 1

It is given that

Cov(X, Y) = -0.58

Var(X) = 7.35

and Var(Y) = 9.8

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.
For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Based on the set of data given in Table 5, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Round to three decimal places of accuracy
What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
For the following exercises, consider the data in Table 5, which shows the percent of unemployed in a city ofpeople25 years or older who are college graduates is given below, by year. 41. Based on the set of data given in Table 7, calculatethe regression line using a calculator or othertechnology tool, and determine the correlationcoefficient to three decimal places.
For the following table of data. x 1 2 3 4 5 6 7 8 9 10 y 0 0.5 1 2 2.5 3 3 4 4.5 5 a. draw a scatterplot. b. calculate the correlation coefficient. c. calculate the least squares line and graph it on the scatterplot. d. predict the y value when x is 11.
For the following exercises, consider the data in Table 5, which shows the percent of unemployed ina city of people 25 years or older who are college graduates is given below, by year. 40. Based on the set of data given in Table 6, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to three decimal places.