The hardness Y of the shells of eggs laid by a certain breed of chickens was assumedto be roughly linearly related to the amount, x, or a certain food supplement put intothe diet of the chickens. The model assumed was that of the simple linear regressionmodel. A sample of n 10 chickens was used in the study, with the following sumsobtained:Σ12, Y = 5.0805Σ", *; = 3.46Σ* = 1.6402Σ Υ = 12.06Σ* Y’ – 16.4136P31A. Using the sums provided, fit the data into a simple linear regression model.[Select]A. Y = 0.4791 + 2.09884xB.Y=2.04889 +0.4971xC.Y=2.09884 +0.4791D. Y=0.4971 +2.04889aof the egg shell that

sample size(n)=10∑i=1nxi=3.46∑1=1nYi=12.06∑1=1nxiYi=5.0805 ∑1=1nxi2=1.6402 ∑1=1nYi2=16.4136

Answered: The hardness Y of the shells of eggs…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following data on x= maternal age in years of the young birth mothers and y weight of baby born in grams summarizes the result of a study. Assume that a simple linear regression model y = Bo + B1x + e is an appropriate model for the study. x-bar 17 (avg of y-bar 3004.1 x's) (avg of y's) SSXX = 20 SS= 4903 SSyw = 1539182.9 n- 10 Calculate the estimated for Bo and B correct to T WO decimal places. Using your results, predict the average weight of a baby born for a value of x = 18. Enter your answer correct to TWO DECIMAL PLACES.
After studying the milk yields of a randomly selected sample of 900 cows, researchers felt that the presence of white spots (WS;) on a cow's body led to a different level of milk production (MP;). The researchers estimate the OLS regression: where WS; is a binary variable of the form: WS;= MP;=5.84 +0.12×WS₁, (2.23) (0.06) 1, if the th cow has white spots O, if the th cow doesn't have white spots The 95% confidence interval for the coefficient B₁ is (,). (Round your answers to four decimal places.)
In a regression model involving 30 observations, the following estimated regression equation was obtained.ŷ = 170 + 34x1 – 3x2 + 8x3 + 58x4 + 3x5For this model, SSR = 1,740 and SST = 2,000.The degrees of freedom associated with SSE are _____. a. 6 b. 5 c. 24 d. 19
The following summary of bivariate data shows the improvement (gain in reading speed) of random sample of students in a speed-reading program and the number of weeks in which they participated in the program. Use this information to answer the following questions: x = number of weeks y = speed gain (words per minute) Σx= 3 Σχ2-219 Σy= 831 Ey? = 138389 Exy = 5482 n = 6 Derive the regression model for speed gain with number of weeks in the program. y = Improvement in Speed Reading b= Σv Σx - m 300 η Σxν-Σx) (Σν) nEx? – (Ex)? 250 200 m = 150 100 50 2 3 4 5 6 7 B 9 10 No. Weeks in Program What is the predicted amount of reading speed gain for a student that spent 7 weeks in the program? O paads
A researcher is investigating possible explanations for deaths in traffic accidents. He examined data from 2000 for each of the 52 cities randomly selected in the US. The data included information on the followingvariables: Deaths: The number of deaths in traffic accidents per city and Income: The median income per cityAs part of his study, he ran the following simple linear regression model as pictured : Question: Based on the above results, the researcher tested the hypotheses ( Null: B1=0 versus Alternative: B1 not equal to 0) using T test. What do we know about the test statistic of the test, what is the approximate p-value, and value of Rsquared? And based on your result, what is your conclusion? Show your work for full credit.
After studying the milk yields of a randomly selected sample of 900 cows, researchers felt that the presence of white spots (WS;) on a cow's body led to a different level of milk production (MP;). The researchers estimate the OLS regression: where WS, is a binary variable of the form: WS₁ = MP = 5.36 +0.26 x WS₁, (2.23) (0.06) 1, if the th cow has white spots 0, if the th cow doesn't have white spots The 95% confidence interval for the coefficient ₁ is (₁). (Round your answers to four decimal places.) Based on this interval, we will the hypothesis P₁ = 0 at the 5% significance level. Which of the following statements describes the way in which the coefficient of the indicator variable could be interpreted in this case? O A. The coefficient is the sum of the conditional expectation of the presence of white spots on a cow with respect to the average milk production. OB. The coefficient is the rate of change in the milk production due to a unit change in the number of cows with white…
Suppose you are to estimate a simple regression for the following population model: Y=B₁ + B₁X + µl From a population of over thousands of observations, a small number of samples were randomly selected. The following is some of the information from the randomly selected sample.
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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.
A fitted linear regression model is (y=10+2x ). If x = 0 and the corresponding observed value of y = 9, the residual at this observation is:

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