Example 3 : The tangent of the angle between two regression lines is 0.6 and if1=-0,, find the correlation coefficient between x and y.2

Answered: Image /qna-images/answer/f7b93fd3-78e6-472c-be7e-cb45e19b1139.jpg

Answered: Example 3: The tangent of the angle…

Example 3: The tangent of the angle between two regression lines is 0.6 and if 1 find the correlation coefficient between x and y.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.4: Linear Regression

Problem 12SBE: Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4

See similar textbooks

Related questions

Q: Please show step by step work: Assume that there is a positive linear correlation between the…

A: a) The regression equation is R = 2.3t + 5.5, where t is the age in years of the investment and R…

Q: Two variable are found to have a strong negative linear correlation. Pick the regression equation…

A: The general equation of estimated regression line isy^=bx+a whereb=rsysx

Q: Which characteristic of a data set makes a linear regression model unreasonable? a slope close to 0…

A: For a linear regression model to be reasonable, the two variables must be correlated.

Q: The table below gives the number of weeks of gestation and the birth weight (in pounds) for a sample…

A: Data given X: 36,37,38,39,40 Y: 4.9,5.3,5.8,6.2,6.7

Q: two regression coefficients bxy = 0.72 and ind the correlation coefficient (r) ? ound to 3 decimals.

A: From the given data, The regression coefficients are:- bxy = 0.72 and byx = 0.55

Q: Battery life has a strong, negative, linear relationship with temperature. If the least-squares…

A: Solution: 7. From the given information, the correlation between battery life and temperature is…

Q: For the regression equation, Ŷ = –2X + 6, what can be determined about the correlation between X and…

A: The given regression line is: Ŷ = –2X + 6

Q: A researcher want to know if there is a relationship between sleep and anxiety. The researcher…

Q: Suppose the equation for a regression line is y =4x + 6. If x = 5, what is the predicted…

A: Given regression equation , y = 4x + 6 Where , slope = 4 y-intercept = 6 y is the dependent…

Q: The correlation coefficient between two variables X and Y is r- 0.60. If S. = 1.50, S = 2.00, X= 10…

A: Given r=0.60, Sx=1.5, Sy=2, X=10, Y=20

Q: It is possible for the regression equation to have none of the actual (observed) data points located…

A: The regression line can be considered as a "mean" for the data collection, and its value, like the…

Q: A football coach is looking for a way to identify players that are "under weight". The coach decides…

A: Answer is 155 pounds

Q: The Linear regression is used to predict Y from X in a certain population. In this population, SSY…

Q: A company has a set of data with employee age (X) and the corresponding number of annual…

Q: State true or false When a correlation coefficient for a linear regression model is close to -1 ,…

A: Given : Statement : When a correlation coefficient (corr. coeff.) for a linear regression(reg.)…

Q: None

A: Option a: Coefficient of Determination is the degree of variations in the dependent variable…

Q: Let y = 0. 5 x +40 Be the regression equation() And x = 0. 5 y +20 Be the regression equation Then…

Q: how long they stay underwater. For all but the shallowest dives, there is a linear relationship that…

A: Given that,Depth (D): The depth of the penguin's dive, measured in meters.Dive duration (DD) : The…

Q: Below is the Minitab display of the scatterplot and regression line for a sample of 10 pharmacies.…

A: Since you have asked multiple questions, we will solve first three sub-parts for you. To get…

Q: The following table gives the data for the average temperature and the snow accumulation in several…

A: Given data: Average Temperature (X) Snow Accumulation (Y) 44 8 32 18 22 29 44 9 43 10…

Q: When is the coefficient of certainty obtained from the regression equation equal to the square of…

A: Regression equation gives the relation between the response variable and the explanatory…

Q: From a regression equation r2= 0.39 and the slope = -2.8 What is the linear correlation coefficient…

A: Given information: The value of the slope is b=-2.8. The value of r2=0.39.

Q: If there is a positive correlation between X and Y, what can you conclude about the equation of the…

Q: Is the regression equation for predicting Y in terms of X the same as the regression line for…

A: Here we have to define Is the regression equation for predicting Y in terms of X the same as the…

Q: also compute the regression equation in which you predict Y using X as the predictor variable

A: The general regression equation is y-hat=b0+b1x.

Q: The correlation between X and Y is -.27, and the regression equation is Ŷ = - 0.49X + 9.27 before…

A: Standardization doesnt effect the correlation.So the correlation will be same after the…

Q: If a correlation is r= 0.00, then SP = 0 and the regression equation is O Ý =X +0 O Ý =X + X O Ý =0…

A: Given: correlation is r = 0.00, then SP = 0

Q: Suppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the…

A: From the given table, the critical value for n=20 with level 0.05 is 0.444. Conclusion: Here, the…

Q: The mall has a set of data with employee age (X) and the corresponding number of annual…

A: Given, regression equation is Y=100-3X If X=30 Y=?

Q: One set of 20 pairs of scores, X and Y values, produces a correlation of r = 0.70. If SSY = 150,…

A: Given values, n=20r=0.70SSy=150

Q: It is known that the linear regression equation: y= -2.88+1.77x, with a coefficient of determination…

Q: The table below shows the amounts of crude oil (in thousands of barrels per day) produced by a…

Q: If e is the angle between the two regression lines. Show that sin 0 < 1 - r2 (r is the correlation…

Q: b. What does the scatter diagram developed in part (a) indicate about the relationship between the…

Question

Example 3 : The tangent of the angle between two regression lines is 0.6 and if
1
=-0,, find the correlation coefficient between x and y.
2

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 with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
The slope of a regression line (y on x) is -0.24, we know that SDy=3.2 and SDx=4.0, then the correlation coefficient between the two variables is:A. 0.3B. -0.3C. 0.8D. -0.8
If the correlation of the X's is equal to 1 or -1, then the regression cannot process. Why?
If the coefficient of determination is calculated as 0.48 and regression equation y = 2.4 – 3.5x, then the correlation coefficient is - 0.2304 0.6928 0.2304 -0.6928
The correlation coefficient between two variables X and Y is r= 0.60. If S̟ = 1.50, S = 2.00, X= 10 and Y= 20, find the equation of the regression lines of (i) Y on X and (i) X on Y."
For a group of children, mean age is 10 years with S.D. 2·5 years. The average height of the group is 125 cms with S.D. of 13 cms. The coefficient of correlation between age and height is 0-6. Write the equation of two regression lines and explain their use.
Two lines of regression are 2x - y - 20 = 0, 2y - x + 4 = 0. The correlation coefficient is
Calculate the equation of the regression line and calculate the correlation coefficient
10) A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression were:y=ax+b a=-0.767 b=31.009 r2=0.609961 r=-0.781 Use this to predict the number of situps a person who watches 7.5 hours of TV can do (to one decimal place)
If o̟ = 0,-0 and the angle between the regression lines is tar! Find the 3 0.. = coefficient of correlation.
From a regression equation r2= 0.39 and the slope = -2.8 What is the linear correlation coefficient r?
Two variable are found to have a strong positive linear correlation. Pick the regression equation that best fits this scenario. y = -0.34x + 25 y = 0.84x25 Oy = -0.84x + 25 Oŷ = 0.34x - 25