Q5) If the following data set obeylinear regression equation, i.e. y=a+bx345911y4238312829b) the correlation coefficient:of this data is0.8425 O0.8430.845 O0.850 Onone of all above

here use basic of Correlation coefficient

Answered: b) the correlation coefficient :of this…

Math

Statistics

b) the correlation coefficient :of this data is

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: A programmer plans to develop a new software system. In planning for the operating system that he…

A: It is given that margin of error (E) is 0.03 and the confidence level is 0.95.

Q: A jar contains 10 red marbles numbered 1 to 10 and 8 blue marbles numbered 1 to 8. A marble is drawn…

A: Given data A jar contains 10 red marbles numbered 1 to 10 and 8 blue marbles numbered 1 to 8

Q: A builder claims that heat pumps are installed in 70% of all homes being constructed today in the…

A: The null and alternative hypotheses are: H0: The true proportion of heat pumps installed in the city…

Q: You are interested in finding a 90% confidence interval for the mean number of visits for physical…

A: Given data set22,12,6,23,13,12,28,14,10,13,18,7,11,19,18sample size(n)=15confidence interval = 90%

Q: 18. What is the decision rule for the hypothesis test stated in the preamble of Section E? O We…

A: Given Information: Boys: Sample size n1=15 Sample mean x¯1=106 Sample standard deviation s1=4 Girls:…

Q: U and V are mutually exclusive events. P(U) = 0.3; P(V) = 0.49. Find: a. P(U and V) = b. P(UIV) = c.…

Q: In a study of speed dating, male subjects were asked to rate the attractiveness of their female…

A: The provided information is x x2 7 49 7 49 3 9 9 81 7 49 6 36 8 64 9 81 8 64…

Q: Find the probability that a person has the virus given that his test outcome is positive. Find the…

A: here given , A certain virus infects one in every 20 people. A test used to detect the virus in a…

Q: A survey of athletes at a high school is conducted, and the following facts are discovered: 6% of…

A: It is given that P(football) = 0.06 P(basketball) = 0.70 P(football and basketball) = 0.04

Q: Section H: Hyla chrysoscelis is a type of gray tree frog with a distinct mating call. Frogs are…

A: Solution The analysis is the regression analysis .

Q: 4 Consumption of cigarettes The table below gives data purporting to show the percentages of men and…

A: Given:

Q: b) What is the probability that a randomly chosen respondent believes the earth is warming or is a…

A: b) The probability that the earth is warming or is a liberal democrat is 0.18

Q: A study conducted on the cost of meals spent by employees per day. The mean cost of meals is…

A: Solution

Q: Suppose that the scores on a reading ability test are normally distributed with a mean of 60 and a…

Q: he retirement age of National Football League (NFL) players is Normally distributed with a mean of…

Q: Treat the number of months X after January 1 that someone is born as uniformly distributed from 0 to…

A: X is uniformly distributed from 0 to 12 40 peoples are surveyed; n=40

Q: X~N(40,?2) and P(X>50) = 0.119. Find the value of ?.

A: From the provided information, Mean (µ) = 40 Variance = σ2 X~N (40, σ2)

Q: A survey on lamb farms was conducted and data were collected on the following variables from a…

A: 1) From the table, the correlation coefficient for average live weight of ewes (kg) and area of…

Q: For a standard normal distribution, find: P(z > -0.85)

A: Here: For a standard normal distribution, we have to find:P(z > -0.85)

Q: What dot plot has a median of 5, a range of 10, and a mean of 5?

A: Explanation: Consider the data set is: 0, 5, 10 n = 3 Mean = 0+5+103= 153= 5 Median = n+12thterm=…

Q: he true value of the population mean can only be estimated or approximated.

A: TRUE. Reason: The true value of the population mean is never known. It can only be approximated or…

Q: the driving time from toronto to montreal are uniformly distributed with times ranging from four…

Q: A random sample of 20 health maintenance organizations (HMOs) was selected. For each HMO, the…

A: Given: Sample size n = 20 Co payment amount = X X follows normal distribution. Level of significance…

Q: Using the SPSS output above, what is the 95% confidence interval for 3₁? 2.331 (-23.508, 11.128)…

A: Here, the independent variable is the temperature of natural habitat (x) and the dependent variable…

Q: Suppose that the age of students at George Washington Elementary school is uniformly distributed…

Q: You roll two six-sided fair dice. a. Let A be the event that either a 4 or 5 is rolled first…

A: Solution-: Roll two six-sided fair dice. We want to find, (a) P(either a 4 or 5 rolled first…

Q: A barber expects to get between zero and six customers per hour in his barber shop. The probability…

A: Solution-: We have following table: X P(X) 0 0.15 1 0.07 2 0.29 3 0.26 4 0.13 5 0.09…

Q: You are interested in constructing a 90% confidence interval for the proportion of all caterpillars…

A: Given n=447 X=46 Confidence level at 90%=1.64

Q: mg We want to conduct a hypothesis test of the claim that for middle-aged adults the population mean…

Q: Suppose X₁,..., Xn are independent exp(X) random variables, where is the rate parameter. Find UMVUE…

A: Let X1, ......Xn are the independent exp(λ) random variables,where λ is the rate parameter.X¯ is a…

Q: Suppose that a researcher is interested in estimating the mean systolic blood pressure, μ, of…

Q: If one student is chosen at random, find the probability that the student was male OR got an "B".…

A: It is given that Number of males = 44 Number of students with B = 14 Number of males with B = 8…

Q: If a person tests positive, what is the probability that the person actually has the disease?

A: Let us define some events A : a person has cooties. B : a person does not have cooties. E : a person…

Q: 1. An algebra is non-empty, closed under complementation, and closed under finite union. 2. The…

A: Given problem Given that 1) An algebra is non-empty, closed under complementation , and closed…

Q: Consider a confidence interval, with confidence coefficient 1 - a, for the mean of a normal…

Q: n experiment consists of first rolling a die and then tossing a coin: . How many elements are there…

A: Given An experiment consists of first rolling a die and then tossing a coin:

Q: Consider a confidence interval, with confidence coefficient 1-a, for the mean of a normal…

A: The confidence interval with confidence coefficient 1-α for the mean of a normal distribution with…

Q: The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget…

Q: Home Work 10.4-2 Date for traveling speed versus stopping distance of Home Work 10.3-2 has been…

A: The following information has been given : Traveling Speed V Stopping Distance ∆ 49 15 9 2…

Q: There are three kinds of vegetation in an ecosystem: grass (G), shrubs (S), and trees (T) (Bodine,…

Q: For a standard normal distribution, find: P(z < -2.98)

A: Here: For a standard normal distributionwe have to find P(z < -2.98)

Q: If x is a random variable (3,x-bn), find the smallest value for n so that it achieves 0.8 <(1 2 p(x)…

A: If a random variable X follows binomial distribution. X~Bx, n, p=13 and PX≥1>0.8 We need to find…

Q: You are interested in finding a 90% confidence interval for the average commute that non-…

Q: Calculate the 3rd quartile, 9th decile and 46th percentile c the distribution

A: The partition is the measure which divide the data set into equal number of parts. Some of the…

Q: ) What is the number of hours that a generator of this type will be operational with exceeds a…

Q: For a standard normal distribution, given: P(z < c) = 0.119 Find c.

Q: Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard…

Q: Paul and Eric are playing squash, and Paul is determined to win at least two games. Unfortunately…

A: Discrete probability distribution has countable or finite number of observations explains the…

Q: If the average height of 500 students in a secondary school is 151 cm, and the standard deviation is…

A: Given: N = 500 μ = 151 cm σ 15 cm Formula Used: Z-score = X-μσ

Q: (1) The pmf of Geometric distribution with p = 1/3 is, (a) 3(1/3)*-1 (b) (1/3)32/3-1 (c)…

A: Solution

Question

Q5) If the following data set obey
linear regression equation, i.e. y=a+bx
3
4
5
9
11
y
42
38
31
28
29
b) the correlation coefficient
:of this data is
0.8425 O
0.843
0.845 O
0.850 O
none of all above

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

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?
on the basis of the value of linear correlation coefficient, would you conclude, at the /r/>0.9 level, that the data can be reasonably modeled linear equation?
4. For a sample of 12 observations, a businessman wants to regress the price (in dollar) of the laptop (Y) on the processor's speed (X). The summary results of the observations are given below. Σx = 19.8 , Σy = 24798, Σxy = 431882 Σx^2 = 3388, Σγ^2 = 57365692 a) compute correlation coefficient (b) Find the fitted regression line of the price of laptop on processor speed.
A random sample of non-industrialized countries was selected and the life expectancy in years is listed for both men and women. Given that the correlation coefficient is significant. Find the equation of the regression line men,x :59.7, 72.9,41.9,46.2,50.3,43.2 Women,y :63.8,77.8,44.5,48.3,54.0,43.5
Given that the means of x and y are 64 and 66 , their standard deviations are 2.8 and 3.2 respectively and the coefficient of correlation between them is 0.5. 1) write down the regression lines.
A set of n = 15 pairs of X and Y values has a correlation of r = +0.80 with SSY = 75, and the regression equation for predicting Y is computed. Find the standard error of estimate for the regression equation. How big would the standard error be if the sample size were n = 30.
1. Plot the data points on a scatter diagram. 2. Determine the equation of the regression line and find Pearson product-moment correlation coefficient. 3. Determine the point estimate of y at x = 5.5