Answered: 9. If the coefficient of correlation…

9. If the coefficient of correlation between two variables x and y is 0.5 and the acute angle between their lines of regression is tan-1, show that ox Oy 2+V3

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

Chapter5: A Survey Of Other Common Functions

Section5.6: Higher-degree Polynomials And Rational Functions

Problem 1TU: The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t=...

See similar textbooks

Related questions

Q: 7. Consider the following set of data: 15, 43, 76, 45, 41, 48, 58, 66, 74, 56, 78, 88, 34, 64, 76,…

A: The given set of data:15, 43, 76, 45, 41, 48, 58, 66, 74, 56, 78, 88, 34, 64, 76, 89, 24, 10, 23,…

Q: Scenario: Suppose participants complete an experiment where ads are presented subliminally during a…

A: Here's we can see that men is independent variable and women is dependent variable.

Q: Given population parameters for two populations, population 1 has a mean of 300 and a standard…

A: Given that Population 1st has mean=300 and standard deviation=50 Population 2nd has mean=22000 and…

Q: A psychology quiz contains eight multiple-choice questions. Let x represent the number of questions…

A: Solution- Given that a quiz contain 8 multiple questions X denote number of a questions a student…

Q: Researchers want to know which food chain makes people the happiest. Researchers randomly assign…

A: For the given data, we need to find the mean squares between.

Q: You want to know if more study time is related to high exam score. a. Is this a researchable…

A: For the given study that aims to study the relation between "more study time" and "higher exam…

Q: (score- mean) Deviation Scores (score – mean) squared Deviation Scores Squared Scores 88 22 84 18 84…

A: Standard Deviation The standard deviation is a value that indicates how far data for a group…

Q: If the joint pdf of X and Y is 1 fx.y(x, y) 2no? find the mass in the circle, x² + y? <a?.

Q: a. Find D4, P33,Q1 b. Variance

A: Given: Number of observations, n=30 observations 3.46 3.72 3.95 3.55 3.62 3.8 3.86…

Q: Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given…

A: Given For 16) n=11 For 17) Z=-1.73

Q: 18. Show that the mean value of the positive square root of a y (l) values is T T (1). Hence prove…

Q: For a data set of chest sizes (distance around chest in inches) and weights (pounds) of eight…

A: The independent variable is Chest size. The dependent variable is Weight. We have to test the…

Q: Two six-sided dice are rolled and the random variable x is the sum of the values produced by each…

A: The question is based on calculating expected value , variance using probability dist. Given : Two…

Q: Calculate this z test statistic and enter your answer, correct to 3 decimal places, into the box…

A: The z-test is conducted to test significant difference in proportions between two large populations.

Q: Use the MS Excel Data Analysis Tool Pak to compute th

A: Note: We are providing the solution for testing the population mean. For the given sample values and…

Q: You are conducting a study to see if the proportion of voters who prefer Candidate A is…

A: Given data x= 195 n =555

Q: 1- İn order to determine the proportion of defects in a shipment, 40 parts from it are randomly…

A: The shipment consists of 90 boxes. Each box contains 200 parts. Two boxes are randomly chosen and…

Q: 2. For each of the following problems: 1) Indicate which measure/s of morbidity (prevalence,…

A: Morbidity frequency measures the number of people in a population who get sick (incidence) or are…

Q: I’m interested in assessing whether someone’s resting heart rate (X) is related to how fast they are…

A: The independent variable is Resting Heart Rate. The dependent variable is Finish Time. We have to…

Q: Refer to the tabie to the right summantzing measured amounts of serum cotinine (ngimL) trom a sample…

A: The objective is to find the relative frequency corresponding to the frequency distribution.…

Q: dule 6. Lessons 8-12 A dot plot of times that five stu 1.0 王,5 a. Calculate the mean numbe absolute…

A: Given :

Q: An urn contains 10 red balls, 20 yellow balls, and 40 orange balls. If you reach into the urn and…

Q: Find the area of the shaded region. The graph depicts the standard nomal distribution of bone…

A: Let Z be the random variable from standard normal distribution with mean = 0 and standard deviation…

Q: 3) Let X1, X2,..., X, be i.i.d. N(01,02). Show that the likelihood ratio principle for testing Ho :…

Q: = .7 and p, = .6. Test Ho: (P, – P2) =0 against Ho: (P, - P2) >0 using. .05 a =

A: Hypothesis testing about the difference between two population proportions is otherwise called…

Q: SA Today/CNN/Gallup survey of 375 working parents found 200 who said they spend too little tim What…

A: Given X=200 n=375

Q: A bag contains 6 red marbles, 8 white marbles, and 10 blue marbles. You draw 4 marbles out at…

A: Given A bag contains 6 red marbles, 8 white marbles, and 10 blue marbles.

Q: X= Sum of Squares= (mean) E(X -X)2 | %3D VARIANCE (or Sum of Squares divided by number) (round to 2…

A: Descriptive Statistics In a brief, descriptive statistics allow us in defining and explain the…

Q: Which among the groups is most dispersed? Support your answer.

A: here Given mean and standard deviation of different group

Q: Two pair misread values. A computer while calculating the correlatiop coefficient.between two…

A: Given Number of observations, N = 25 ∑ x=125∑ x2=650∑ y=100∑ y2=460∑ xy=508 Incorrect observations…

Q: 4. (Calculating the Standard Deviation Question) Calculate the sample standard deviation of the…

Q: Consider a population with μ=66.6 and σ=8.1 is taken. Find the standard deviation of the sampling…

Q: group took 40 mg of ginkgo 3 times a day for 6 weeks. The 115 participants assigned to the control…

Q: The hypothesis test H0:μ=176.6 H1:μ≠176.6 is to be carried out for a population where ?σ is not…

Q: Assume that an adult female is randomly selected. Suppose females have pulse rates that are normally…

A: Given Data : Population Mean,μ = 71 Population Standard Deviation,σ = 12.5

Q: A study dealing with health care issues plans to take a sample survey of 1500 Americans to estimaté…

A: Parameter: The statistical measure that describes the features of the population is termed as a…

Q: The regression equation for Y is the linear equation Ý = bX + a %3D where Sy b =r М, — b. М. & a =…

A: A least square regression line is called the line of best fit.

Q: Compute E(y6) for the following model, where e ~ wn(0,0.01), i.e., a white noise process with mean…

Q: Independent random samples of 64 observations each are chosen from two normal populations with the…

A: We have given that, Population mean (μ1) = 12, population standard deviation σ1 = 4, n1 = 64 and…

Q: Cotinine (ngmLD 0-99 100-190 Refer to the tabie to the right summatzing measured amounts of serum…

A: Solution:- from given information Cotinine frequency 0-99 15 100-199 14 200-299 16…

Q: A survey found that out of a random sample of 164 workers, 141 said they were interrupted three or…

A: Given: Sample size, n=164 No. of worker said they were interrupted by messages, faxes, x=141…

Q: roblem 3 et X1, X2, X 3, ..., Xn be a random sample from nknown. Define the estimator Ôn = max{X1,…

Q: Compute the mean score: x=. b. Compute the sample variance: s2= c. Compute the sample coefficient of…

A: Given: Number of observations, n=25 Data, X 15 43 76 45 41 48 58 66 74 56…

Q: In a box there a total of four prizes: Two of them are worth $5, a single prize worth $22, and a…

A: Given : In a box there a total of 4 prizes 2 of them are worth $5 a single(1) prize worth $22 a…

Q: If the random variable X is defined as the number of successful free throws from 3 throws, the…

A: From the given information we find probability

Q: 7. Following table shows ages of husband and wife of 53 married couples. Wife→ 15-25 25-35 35-45…

Q: 7 Set up a 95% confidence interval for the determining the number of shoppers at the 40°…

A: Here we want to find 95% confidence interval.

Q: Random samples of n1 = 55 and n2 = 65 were drawn from two populations. The samples yielded…

Q: A marketing company has randomly surveyed 190 men who watch professional sports. The men were…

A: For the given data Is a survey participants preference for the NBA independent of having a college…

Question

Please answer number 9 with complete solution

8. The regression equations of two variables x and y are x =
y = 0.3x +2.8. Find the means of the two variables and the coefficient of
0.7y + 5.2,
correlation between them.
9. If the coefficient of correlation between two variables x and y is 0.5 and the acute
angle between their lines of regression is tan-1
3
2, show that ox =
8
dy
2+v3
lab data, following results
retrieved:
were
10. From
a partially destroyed
Lines of regression are:
8x =
10y - 66 and 18y = 40x-214, ox = 3
%3D
Find x,y, o, and r for the existing data.

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 by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?
Given are five observations collected in a regression study on two variables. xi 2 6 9 13 20 yi 7 18 9 26 23 Compute b0 and b1 (to 1 decimal).b1 b0 Complete the estimated regression equation (to 1 decimal).^y = + x Use the estimated regression equation to predict the value of y when x = 6 (to 1 decimal).^y =
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.
Given are five observations collected in a regression study on two variables. xi 2 6 9 13 20 yi 9 19 7 26 21 Develop the estimated regression equation for these data. ŷ = (c) Use the estimated regression equation to predict the value of y when x = 6.
The equation of the regression line between two variables x (independent variable) and y (dependent variable) is given by y^=−3x+2; and the correlation coefficient is r=−.95. The possible x-values range from 1 to 10. Based on the given r, which of the following conclusions may be made? x and y are moderately correlated, and y tends to increase as x is increased. x and y are strongly correlated, and y tends to increase as x is increased. x and y are very weakly correlated. x and y are strongly correlated, and y tends to increase as x is decreased. There is no way to tell the relationship between x and y.
Given are five observations collected in a regression study on two variables. xi 2 6 9 13 20 yi 9 18 8 25 21 (b) Develop the estimated regression equation for these data. ŷ = (c) Use the estimated regression equation to predict the value of y when x = 13.
There is a relation between the following variables as y = 1 / (a * x ^ b) (x ^ b means x over b) a) Calculate the correlation coefficient and interpret the degree of the relationship? b) Estimate the y-value for x = 4.3 and the x-value for y = 0.90 by obtaining the regression equation
The birth lengths in cm (x) and birth weights in kg (y) of a sample of 50 newborn female babies are compared, yielding a correlation coefficient of r=0.578 and a linear regression equation of ŷ =−8.89+0.243x The babies all had lengths between 46.5 and 53.0 cm, and weights between 2.50 and 4.05 kg. Based on this, predict the birth weight of a newborn female baby with a birth length of 48.5 cm.
The following table gives the marks obtained by 10 students in POLI 344 (X) together with the marks obtained in the exam in POLI 308 (Y). POLI 344 (X)8 8 9 10 10 11 12 13 13 11 14 POLI 443 (Y) 7 11 8 7 12 11 10 12 14 17 15 (i) State the two equation lines of the regression line. (ii) If a student was absent from POLI 443 but scored 18 in POLI 344 (X) state the regression line, which would be suitable for estimating his/her possible mark in POLI 443 and work out a fair estimate for his /her possible mark.
Consider the following regression equation specied for 2-period panel data: where i = 1; 2; :::N and t = 1; 2. If you expect that β_1 is positive, but the correlation between Δx_i and Δu_i is negative, thenwhat is the bias in the OLS estimator of β_1 in the first-differenced equation?
If x and y in a regression model are totally unrelated, _______. the coefficient of determination would be 0 the MSE would be 0s the SSE would be 0 the correlation coefficient would be -1 the coefficient of determination would be 1