Math

StatisticsQ&A LibraryThe following assumptions are made to set up a linear model. Explain in plain English what each assumption means and justify (according to your common sense as a data scientist) whether or not each assumption is reasonable for real data. 1. The underlying relationship between the response Yi and the predictor xi is linear. 2. E(i) = 0 3. var(i) = σ 2 4. i are uncorrelated.Question

Asked Feb 3, 2020

1 views

The following assumptions are made to set up a linear model. Explain in plain English what each assumption means and justify (according to your common sense as a data scientist) whether or not each assumption is reasonable for real data. 1. The underlying relationship between the response Yi and the predictor xi is linear. 2. E(i) = 0 3. var(i) = σ 2 4. i are uncorrelated.

1 Rating

Step 1

...

Tagged in

Find answers to questions asked by student like you

Q: Suppose the Emerson loses 36% of all thumb wars. A) what is the probability that emerson loses two t...

A: a).Given that Emerson loses 36% of all thumb wars. That is probability of losing a thumb war is 0.36...

Q: A group of adult males has foot lengths with a mean of 27.3127.31 cm and a standard deviation of 1.3...

A: The range rule of thumb is µ±2σ and the values which fall outside this range is said to be significa...

Q: DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 52 66 No 257 605 If two different ped...

A: The probability that they both involved drivers that were intoxicated is obtained below:Given:The nu...

Q: American car manufacturers often state engine sizes in cubic inches. Suppose that a six-cylinder car...

A: Given:Number of cylinders = 6Radius of cylinder = r = 2.2Height of cylinder = h = 3.25We have to fin...

Q: The sum of squares of deviations about a mean of 50 for a collection of measurements is 4750. What i...

A: Given data Sum of squares of Deviation = 4750

Q: A food safety guideline is that the mercury in fish should be below 1 part per million (ppm). Listed...

A: Click to see the answer

Q: A frog is in a well 12 feet deep. Each day the frog climbs up 3feet and each night it slips back 2fe...

A: A frog is in a well 12 feet deep. Each day the frog climbs 3 feet and each day it slips back 2 feet.

Q: In Exercises, use Table VIII and, if necessary, the reciprocal property of F-curves to find the requ...

A: a)Reciprocal property of F-curves:

Q: Understanding the Concepts and Skills In Exercises, we give linear equations. For each equation, fi...

A: The provided linear equation is y = 1.5x. The general form of the linear equation is y = b0 + b1x.1....

Q: Yesterday Al recorded 5 data values, and the mean of those values was 90. Today he realized the data...

A: Given dataMean of 5 data values = 90Data value 80 was actually 50Mean is given by

Q: In each of Exercises, we have provided a sample standard deviation and sample size. In each case, us...

A: a).The sample standard deviation and the sample size are, s = 2 and n = 10 respectively. The signifi...

Q: Of all the students who take the CPA examination, one-fourth have a Master’s degree and the remainde...

A: One-fourth of the students have a Master’s degree, the remaining students have Bachelor’s degree. Ha...

Q: 19. Automobile repair costs continue to rise with the average cost now at $367 per repair (US News &...

A: Hey there! Thank you for posting the question. Since there are multiple subparts are posted, accordi...

Q: Assume a cardiovascular surgeon has implanted 13 pacemakers in his patients from a new batch of pace...

A: Binomial distribution:The binomial distribution gives the probability of number of successes out of ...

Q: Two χ2-curves have degrees of freedom 12 and 20, respectively. Which curve more closely resembles a ...

A: As the degrees of freedom of the chi-square distribution increases, the distribution becomes nearly ...

Q: In Exercises, use Table VII to find the required χ2-values. Illustrate your work graphically. Consid...

A: a).Software procedure:Step by step procedure to obtain - graph using MINITAB software is given below...

Q: How do i find the Z score boundaries that seperate a normal distribution as described in "The middle...

A: The total area is 100 % in Normal distributionMean Divides the whole area equally 50% on both sides....

Q: about 7% of the population of a large country is nervous around strangers. If two people are randoml...

A: The probability that both are nervous around strangers is,

Q: How many numbers of degrees of freedom does an F-curve have? What are those degrees of freedom calle...

A: An F-curve has two degrees of freedom.

Q: A series of sodium chloride samples are analyzed and the following results were recorded: Sample ...

A: In Statistics, deviation is a measure of difference between the observed value of a variable and som...

Q: List the three-digit numbers that use each of the digits 2, 5, and 8 once and only once.

A: Here, it is required to find the three-digits that use each of the digits 2,5 and 8 once and only on...

Q: Using the Fa-notation, identify the F-value having area 0.975 to its left.

A: Click to see the answer

Q: A B C Male 19 7 9 35 Female 5 20 13 38 Total 24 27 22 73 If one student is chosen at random...

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...

Q: 1-You have been given the raw scores of 5.7, 7.3, 12.4, and 2.1 (x̅= 5.8 and s= 2.3) Compute the Z-s...

A: It is given that mean is 5.8 and standard deviation is 2.3.z-score of 5.7:

Q: Indicate whether the five number summary corresponds most likely to a distribution that is skewed to...

A: From the information, the five number summary is given below:Minimum is 100, Q1 is 110, median is 11...

Q: A genetic experiment with peas resulted in one sample of offspring that are considered a 412 green p...

A: According to the provided information, there are 412 green peas and 155 yellow peas making a total o...

Q: Assuming that the null hypothesis H0: ηd = 0 is true, answer the following questions. a. Why is the ...

A: a.The reason for the probability of paired difference is greater than 0 and equal to 0.5The median η...

Q: A pair of fair dice is tossed. Find the probability of getting (a) a total of 11; (b) at most a t...

A: (a) From the given information, two fair dice are rolled. The total sample space is,

Q: A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3 different ...

A: Let, N be the number of different available plansFirst operation (choice of home design) can be resu...

Q: A variable of two populations has a mean of 7.9 and a standard deviation of 5.4 for one of the popul...

A: a)

Q: Determine whether the study depicts an observational study or an experimental study. A study was ...

A: Study: The study 4 groups of children and each group have treated with different amounts of sugar. T...

Q: The heights of women have a symmetric distribution with a mean of 66 inches and a standard deviation...

A: Given dataMean = 66 inchesStandard deviation =2.5 inchesApplying empirical formula68% of data falls ...

Q: (Math) Let D be the distribution over the data points (x, y), and let H be thehypothesis class, in w...

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you re...

Q: Births: Sampling Distribution of Sample Proportion When three births are randomly selected, the samp...

A: Let X be the number of girls out of 3 births.X can take the values 0,1,2,3Then the proportion of gir...

Q: 9. An experimental drug has been shown to be 75% effective in eliminating symptoms of allergies in a...

A: It is given that n is 6, x is 3 and p is 0.75.

Q: The distance from Santa Maria to Los Alamos is 16.25 mi. What is the distance in cm?

A: According to the provided data, the distance from Santa Maria to Los Alamos is 16.25 mi.The followin...

Q: 64 93 54 76 71 100 62 53 80 72 Here are the z scores: Score z-value 64 -0.8 93 2.1 5...

A: Click to see the answer

Q: A starting lineup in basketball consists of two guards, two forwards, and a center. (a) A certain co...

A: (a) From the given information, there are 4 centers, 4 guards, 4 forwards and one individual (X) who...

Q: Suppose x1 and x2 are predictor variables for a response variable y. a. The distribution of all poss...

A: a.It is provided that x1 and x2 are predictor variables for a response variable y.Yes, the distribut...

Q: How do I Make up 3 datasets each with 10 observations (rows) and 2 variables (columns). Such that on...

A: Dataset 1: Correlation is greater than 0.8.Consider the following data set for which the correlation...

Q: 5. Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a sta...

A: The correct option is B) 0.338.

Q: In each of Exercises, use the Mann–Whitney test to perform the required hypothesis testSAT Essay Sco...

A: In this context, the aim is to test whether the median SAT essay score is lower for student who took...

Q: Standard Normal Distribution. In Exercises 17–36, assume that a randomly selected subject is given a...

A: Consider X be a normal random variable which indicates bone density test scores. The test scores are...

Q: A data set with whole numbers has a low value of 20 and a high value of 82.Find the class width for ...

A: It is provided that the lowest values is the highest value is 82.The class width is obtained as foll...

Q: Need help If my outer regression equation is Weight= -191.891 + 5.06 (Height) How do I find the esti...

A: The linear regression equation is given by,

Q: The moon is 250,000 miles away. How many feet is it from earth?

A: In general, 1mile = 5,280 foot.

Q: In each of Exercises, suppose that you know that a variable is normally distributed on each of two p...

A: Requirements for a pooled t-test:The samples must be independent and drawn randomly from normally di...

Q: 2. Assume a cardiovascular surgeon has implanted 13 pacemakers in his patients from a new batch of p...

A: Binomial distribution:The binomial distribution gives the probability of number of successes out of ...

Q: Suppose that you want to perform a hypothesis test based on a simple random paired sample to compare...

A: a)Requirements for a paired t-test:The samples must be paired sample and drawn randomly from normall...

Q: Suppose that independent simple random samples are taken from two populations to compare their means...

A: a).If the two distributions of the population are not normal, having same shape, then Mann Whitney t...