In a sample analysis with 50 respondents, we wanted to study the relationship between the number X of minutes spent listening to music and the listening time Y of a specific radio, again expressed in minutes, on a summer weekend day. The findings are that: 50 50 Xj=6000, Eyi=3700, sx=125, sy=105 and rxy=0.75, =1 j=1 where sx, Sy and rxy are the sample standard deviation of X, Y and the sample linear correlation coefficient between X and Y respectively. The estimated standard error of the regression is also equal to Se=20. Estimate the simple linear regression model that explains the variable Y as a function of X. Report the required values in the spaces below. (Report 3 decimal places) (Manual correction question) -The estimated intercept of the model: -The estimated slope of the model: -The 95% confidence interval for the model slope:

In a sample analysis with 50 respondents, we wanted to study the relationship between the number X of minutes spent listening to music and the listening time Y of a specific radio, again expressed in minutes, on a summer weekend day. The findings are that: 50 50 Xj=6000, Eyi=3700, sx=125, sy=105 and rxy=0.75, =1 j=1 where sx, Sy and rxy are the sample standard deviation of X, Y and the sample linear correlation coefficient between X and Y respectively. The estimated standard error of the regression is also equal to Se=20. Estimate the simple linear regression model that explains the variable Y as a function of X. Report the required values in the spaces below. (Report 3 decimal places) (Manual correction question) -The estimated intercept of the model: -The estimated slope of the model: -The 95% confidence interval for the model slope:

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: standard deviation is s = 13.6 beats per minute. a. What is the difference between the pulse rate of…

A: HERE GIVEN Mean=X¯=77 Beats S=13.6 Beats

Q: The scores on a standardized test are normally distributed with a mean of 95 and standard deviation…

A: Formula : Let , mean = μ and standard deviation = σ The test score below 'a' standard deviation of…

Q: What percent of data points fall in the range of z=-1.5 and z=1.5 standard deviations of the mean

A: From the provided information, The range is between z = -1.5 to z = 1.5

Q: Carol-Anne is an environmental scientist studying the heights of red oak trees in a nearby marsh and…

A: It is given that the researcher randomly selected 10 red oak trees from each habitat and records the…

Q: A succesful basketball player has a height of 6 feet 4 inches or 193 cm based on statisc from data…

Q: Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard…

A: Given data pulse rates of women are normally distributed with a mean of 77.5 beats per minute and…

Q: According to a study done by UCB students, the height for Martian adults is normally distributed…

A: Given,mean(μ)=67standard deviation(σ)=2.3

Q: Scores by women on the SAT-1 test are normally distributed with a mean of 988 and a standard…

A: Given Information Now we have to calculate corresponding Z value Z = 0.7388…

Q: An study was conducted to compare the difference in math scores between police foundations (group 1)…

A: Given : x¯1=68.6s1=3.7n1=30x¯2=69.4s2=4.0n2=32 We want to find 99% confidence interval for the…

Q: only part 4.

A: If the sample size increases from 8, then the standard deviation, σ decreases.

Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.6 and a standard…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: Researchers measured the waist sizes of 230 men in a study on body fat. The true mean and standard…

A: Suppose researchers measured the waist sizes of men in a study on body fat. The true mean:…

Q: a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds?…

A: Here Given Highest Speed measured=76.6 Mbps Sample Size=50 Sample mean=x¯=18.68 Sample sd= s= 37.17…

Q: The Ankle Brachial Index (ABI) compares the blood pressure of a patient's arm to the blood pressure…

Q: the z score for the tallest man is z = ad to two decimal places.) and the z score for the shortest…

A: From the provided information, Mean (µ) = 173.15 cm Standard deviation (σ) = 7.57cm

Q: If the scores on a test have a mean of 43 and standard deviation of 1.5, what is z score of 45?

A: In order to solve for the equivalent z score, we will use the z score formulaFormula:z =…

Q: During rush hour, the traffic speed on a busy highway is found to have mean 42 mph and standard…

Q: of driver's education students is 68 points, with a standard deviation of 4 points. Apply…

A: Given

Q: An instructor in a large lecture class found, at the end of the semester, that the total point…

A: The provided information is:

Q: The mean test score for a history test is 63 with a standard deviation of 9. The mean test score for…

A: It is given that the mean test score and standard deviation for history test are 63 and 9, the mean…

Q: The frequency distribution was obtained using a class width of 0.5 for data on cigarette tax rates.…

A: Tax rate Freq(f) x xf x^2 x^2*f 0.00 - 0.49 7 0.245 1.715 0.060025 0.420175 0.5 - 0.99 12 0.745…

Q: The scores on a test are normally distributed with a mean of 100 and a standard deviation of 20.…

A: Step 1:To find the scores corresponding to specific standard deviations from the mean in a normally…

Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

In a sample analysis with 50 respondents, we wanted to study the relationship between the number X of minutes spent listening
to music and the listening time Y of a specific radio, again expressed in minutes, on a summer weekend day.
The findings are that:
50
50
žXi=6000, Eyi=3700, Sx=125, sy=105 and rxy=0.75,
i=1
j = 1
where Sx, Sy
respectively. The estimated standard error of the regression is also equal to se=20.
and ryy are the sample standard deviation of X, Y and the sample linear correlation coefficient between X and Y
Estimate the simple linear regression model that explains the variable Y as a function of X. Report the required values in the
spaces below. (Report 3 decimal places) (Manual correction question)
-The estimated intercept of the model:
-The estimated slope of the model:
-The 95% confidence interval for the model slope:
Write down on the answer sheet all the calculations needed to arrive at the required values.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Correlation, Regression, and Association$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Assume that an intelligence test scores are distributed normallt with a mean of 100 and a standard deviation of 15. If you scored 124 on this intelligence test, what is your z-score on this distribution.
I've been given a population (units) mean of 30 and a standard deviation of 1.8. I've been told 6 units have been selected and have been asked to determine what is the distribution of the mean (exponential, normal or uniform), and find the sample mean and standard deviation of these 6 units selected based of the population information.
Assume that adults have iq scores that are normally distributed with a mean of 98.2 and a standard deviation 17. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. The first quartile is
you Created a survey that meawere Depression In people. you want to test the Claim that the Mean. meusurements of Depression that peaple have is not egued to 6.5. A sample. of 145 Of you patients had a mean depression measurement of X=6.7 and a standard deviation of l,5.
In a population, the data value 180 has a z score of -0.8. The standard deviation of this population is 32.36. What is the mean of the population?
The difference in the population means divided by the population standard deviation of a study is the blank?
Suppose the exam average in a class is 55% with a standard deviation of 4. What proportion of students scored above 57%? Round to two places.
An exam score has a mean of 504 and standard deviation of 90. What exam score coresponds to a Z-score of 1.60?
An outbreak of the deadly Ebola virus in 2002 and 2003 killed 91 of the 95 gorillas in 7 home ranges in the Congo. To study the spread of the virus, measure " distance" by the number of home ranges separating a group of gorillas from the first group infected. Here are data on distance and number of days until deaths began in each later group: Use a calculator or software to find the following values. (a) Find the mean and standard deviation of . MEAN: STANDARD DEVIATION: (b) Find the mean and standard deviation of y. MEAN: STANDARD DEVIATION: (c) Find the correlation between and y r Distance Days y E 445 347 418 304148 48
Rachael got a 660 on the analytical portion of the Graduate Record Exam (GRE). If GRE scores are normally distributed and have mean μ = 600 and standard deviation σ = 30, what is her standardized score?
Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest
In a set of 48 months of data for medical the mean is 15 days and standard deviation of 4.2 how many months fewer than 19.2 days per month reported medical leave ( one standard deviation above the mean?