3)The age and number of psychiatric treatment of 8 children in an grphanage are as follows. Estimate the equation of the linear relationship between the two variables and test the fit. (a=0.05) 中 age 1 4 6 8 9 11 14 Number of treatments 1 4 4 7 8 9 3. 2.

3)The age and number of psychiatric treatment of 8 children in an grphanage are as follows. Estimate the equation of the linear relationship between the two variables and test the fit. (a=0.05) 中 age 1 4 6 8 9 11 14 Number of treatments 1 4 4 7 8 9 3. 2.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section: Chapter Questions

Problem 8PT: Does Table 1 represent a linear function? If so, finda linear equation that models the data.

See similar textbooks

Related questions

Q: If the slope of the regression line is calculated to be 3.23 and the y' intercept is 18.18 then the…

Q: Based on the data shown below, a statistician calculates a linear model y - 0.56x + 24.29. - X y…

A: We need to estimate y.

Q: Question 19: Based on the data shown below, a statistician calculates a linear model…

A: Use the Excel and Perform the Regression. Followings are the Steps to perform the Regression 1) Open…

Q: Given the following data pairs (x, y), find the regression equation. y2 ху 6. 4 36 12 4. 16 8. 25 15…

A: Given Data: ∑x=10 ∑y=16∑x2=30 ∑y2=74∑xy=38 n=4

Q: Will rate

A: Solution The given linear equation is Y^= 0.84x+4.17

Q: Given are five observations for two variables, x and y. 2 3 4 Yi 2 8 10 14 E(x, – *)(v, – 7) Y(x, -…

A: x¯ is given by sum of all values of xidivided by total number of observations So, x¯=1+2+3+4+55=3 y¯…

Q: Given are five observations for two variables, and . xi 1 3 12 15 17 yi 54 51 43 25 12 The…

A: Note: Please repost 2nd question as i can answer only 3 subparts as per my policy. X Y X*Y X*X…

Q: Given are five observations for two variables, x and y. X; 1 4 2 8 10 14 2(x, - *)(Y, - F) d)…

A: Given that the table is Xi 1 2 3 4 5 Yi 2 8 6 10 14 Given that the b1 =…

Q: 1. The following chart is data over an 8 month period that shows how much a company spent in…

A: GIVEN MONTH ADVERTISING SALES MARCH 900 56000 APRIL 2700 89000 MAY 3150 98500 JUNE 1300…

Q: Time (t) in seconds Distance (y) in cm 2 3 4 7 8 15 20 15 0 -25 -60 -105 -160

Q: Q4/ Find the theoretical values for linear equation (y) from the given data Xi 3 6 9. 12 15 18 21 24…

Q: Based on the data shown below, a statistician calculates a linear model y=2.41x+2.76y=2.41x+2.76.…

A: GivenLinear model isy=2.41(x)+2.76

Q: 4. In analyzing the relationship between two variables, a scatter plot can be used to detect which…

A: 4) Scatter plot gives idea about correlation.

Q: The table below shows the number of state-registered automatic weapons and the murder rate for…

A: Solution: Let x be the thousands of automatic weapons and y be the murders per 100,000 residents.…

Q: The following table shows the cost, in millions of dollars, to a certain company of adding the given…

Q: The slope was found to be b, = 6.715 and will be used to find the intercept, bo. The formula for the…

A: Given that, b1= 6.715, b0= 16.706 Regression equation=?

Q: Given the following estimated linear modelŷ = 10 + 2x1 + 12x2 + 8x3a. What is the change in ŷ when…

A: Introduction: The linear regression is a linear which tells the relationship between the independent…

Q: Consider the bivariate data set with n = 7 observations X 1 7 -5 2 7 5 4 Y 35 77 13 22 69 69 59…

A: The independent variable is X. The dependent variable is Y. This is simple linear regression model.…

Q: • a. Find the linear equation for the following data ● b. and estimate y, if x = 2.2 (by…

A: We have to solve the given problem.

Q: Find the slope of the equation of the regression line for the following data: Consumer Price…

A: Regression: Regression is a technique that is used to determine relationship between two or more…

Q: The following list shows the number of people (in millions) in the United States whose only means of…

A: Given that, For year 1940 Number of people is 7.6 million. i.e y=7.6

Q: A) With Time Period as the independent variable, the equation of the regression line is: a. y =…

A: A) In this context, y is time period (independent variable) and x is monthly carpet (dependent…

Q: The table below shows the number of state-registered automatic weapons and the murder rate for…

Q: Plot the following data on both semilog graph paper and standard rectangular coordinates. Drug A…

Q: Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 4 6 5 9 14 Develop…

A: Given data, X Y X*Y X*X 1 4 4 1 2 6 12 4 3 5 15 9 4 9 36 16 5 14 70 25

Q: Which of the following represents a regression line. a. y = 12.82x (0.24x - 2.56) b. y = -0.57x -…

A: In regression a variable is predicted using other variables. Simple linear regression implies there…

Q: The table below shows the number of state-registered automatic weapons and the murder rate for…

A: Solution: Let x be the thousands of automatic weapons and y be the murders per 100,000 residents.…

Q: 2) According to the U.S. Department of Education, the average financial aid award (in dollars) for a…

A: Given: Year Amount 2000 2925 2005 3407 2009 4056 2011 4341

Q: 2:4: A/ Find the estimated regression line equation for the following data that represents income in…

A: Solution: Let x =Income and y = Food expenditure To fit the regression line y^=a+bxWhere…

Q: What are the blanks?

A: From the given data Find the linear model in the data

Q: Engineering, a company that specializes in the construction of antipollution filtration devices, has…

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

Q: The table below shows the number of state-registered automatic weapons and the murder rate for…

Q: Given are five observations for two variables, I 12 20 14 Yi 55 40 55 10 15 a. Develop a scatter…

A: Note: Hi there! Thank you for posting the questions. As there are several independent questions,…

Q: Construct the equation of the regression line. The following table lists the age of a cow (in years)…

A: Find Regression line equations from the following data X Y 4 37 4 35.4 6 33.3 7 33.1 7…

Q: The table below shows the number of state-registered automatic weapons and the murder rate for…

A: We have given data in the form of table which contains, the number of state-registered automatic…

Q: Given the two regression lines x+2y-5 0, 3y + 2x-8=0, the means of x and y are 2,2 O 2.5, 1.5 O 5,4…

A: Given, Two regression lines x+2y-5=0 3y+2x-8=0

Q: Given are five observations for two variables, * and y. Excel File: data14-25.xlsx The estimated…

A: Given information:

Q: Let the equations of the regression lines be expressed as 8X - 2Y = 0 and 3Y – 2X = 9 Then the…

Q: The table below shows the number of state-registered automatic weapons and the murder rate for…

A: Given datax 11.8 8.2 6.9 3.9 2.3 2.4 2.6 0.6 y 14.2 11.2 10.2 7.5…

Q: A value of r close to ±1 indicates that there is a _______ linear relationship between the…

A: The correlation measures the strength of association between two variables. Correlation ranges from…

Q: Given are 3 observations for two variables, x and y. 1 3 6. 10 What is the estimated regression…

A: x y x.y x.x 1 9 9 1 3 10 30 9 6 5 30 36

Q: (a) Determine Sr. Syy. and Szy (b) Determine Bo, B. (c) Determine the estimated regression line…

Q: Suppose the Sherwin-Williams Company has developed the following multiple regression model, with…

A: Given that, Y=α+βaA+βp P+ε α=344.585 ba =0.102 bp…

Q: Given are five observations for two variables, and . 1 2 3 4 5 3 7 7 10 14 d.…

Q: A value of r close to ______ indicates that there is either no linear relationship between the…

A: Linear correlation coefficient: The linear correlation coefficient for n data points is given as,…

Q: 1. Find the linear equation that best fits the data shown. X 1.5 2.5 3.5 4.5 F(x) 3.4 9.7 10.3 15.4…

A: The given problem is to find the best fit linear equation for the given data. We can use least…

Q: While shopping for an air conditioner, a buyer tonsulted the following table giving a machine's BTUS…

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

3)The age and number of psychiatric treatment of 8 children in an orphanage are as follows.
Estimate the equation of the linear relationship between the two variables and test the fit.
(a=0.05)
age
1
3
4
8
11
14
Number of treatments 1
2
4
4
5
7

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 1es

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 4 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

Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
Does Table 1 represent a linear function? If so, finda linear equation that models the data.
A value of r close to _______ suggests at most a weak linear relationship between the variables.
Use this data and create a model that estimates a student's giving rate as an alumni based on the three parameters provided. If a class has a graduation rate of 74, the % of classes under 20 student equal to 55, and a Student=Faculty Ratio of 19, what should we expect our Alumni Giving Rate to be? (Enter a whole number) University Graduation Rate % of Classes Under 20 Student-Faculty Ratio Alumni Giving Rate Boston College 85 39 13 25 Brandeis University 79 68 8 33 Brown University 93 60 8 40 California Institute of Technology 85 65 3 46 Carnegie Mellon University 75 67 10 28 Case Western Reserve Univ. 72 52 8 31 College of William and Mary 89 45 12 27 Columbia University 90 69 7 31 Cornell University 91 72 13 35 Dartmouth College 94 61 10 53 Duke University 92 68 8 45 Emory University 84 65 7 37 Georgetown University 91 54 10 29 Harvard University 97 73 8 46 Johns Hopkins University 89 64 9 27 Lehigh University 81 55 11 40 Massachusetts Inst.…
Given are five observations for two variables, x and y. xi 3 12 6 20 14 yi 55 45 50 15 20 #1) Develop the estimated regression equation by computing the values of b0 and b1 using b1 = Σ(xi − x)(yi − y) Σ(xi − x)2 and b0 = y − b1x. y= #2) Use the estimated regression equation to predict the value of y when x = 13.
The relationship between sleep hours and overall happiness level on the next day was estimated as below in a linear format. (Happiness level is measured through a five-point scale: 1 = Extremely unhappy, 5 = Extremely happy) Overall happiness level = 0.27 * Sleep hours + 2.34 (The p-value for the coefficient of Sleep hours is 0.02.) Based on this equation, what is the expected happiness level of a person on a certain day, when he slept 7 hours the day before?
Determine the best (according to sum-of-squares-measure) curve y = Aebx , through the data above. Transformed equation ln(y) = ln(A) + bx or Y = a + bx.
Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 4 6 6 11 13 Develop the estimated regression equation by computing the values of b0 and b1 using b1 = Σ(xi − x)(yi − y) Σ(xi − x)2 and b0 = y − b1x. ŷ = (e) Use the estimated regression equation to predict the value of y when x = 2.
In industry, the relationship between wages and the quit ratio of employees is defined to be the percentage of employees that quit within 1 year of employment. The quit ratio of a large restaurant chain that paid its employees the minimum hourly wage ($7.25 per hour) was .2 or 20 employees per 100. When the company raised the hourly wage to $8, the quit ratio dropped to .18, or 18 employees per 100. (a) Assuming a linear relationship between the quit ratio Q(x) and the hourly wage x, find an expression for Q(x). (b) What should the hourly wage be for the quit ratio to drop to 10 employees per 100?
Accountants at the Tucson firm, Larry Youdelman,CPAs, believed that several traveling executives were submittingunusually high travel vouchers when they returned from businesstrips. First, they took a sample of 200 vouchers submitted from the past year. Then they developed the following multiple-regres-sion equation relating expected travel cost to number of days on the road ( x1 ) and distance traveled ( x2 ) in miles:yn = +90.00 + +48.50x1 + +.40x2The coefficient of correlation computed was .68.a) If Donna Battista returns from a 300-mile trip that took herout of town for 5 days, what is the expected amount she shouldclaim as expenses?b) Battista submitted a reimbursement request for $685. Whatshould the accountant do?c) Should any other variables be included? Which ones? Why?
Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 4 6 5 9 14 Develop the estimated regression equation by computing the the slope and the y intercept of the estimated regression line (to 1 decimal). y^= + x Use the estimated regression equation to predict the value of y when x = 5 (to 1 decimal).y^ =
23. If SP = -16.32 and SSX = 40.00 for a set of data points, then what is the value of the slope for the best-fitting linear equation? positive -0.41 Need SSY to compute -2.45