A statistical program is recommended.A paper gave the following data on n = 11 female black bears.Age Weight(years) (kg)10.56.528.5F =6.57.56.55.57.511.5P-value =9.55.554|O Ho: B1 = B2 =140625556624240595150H₂: at least one of B₁orH₂: at least one of B₁ orHome-RangeSize (km²)Ho: At least one of ₁ orH₂: B₁ = B₂ = 143.046.757.335.562.1= weight.(a) Fit a multiple regression model to describe the relationship between y = home-range size and the predictors X₁ = age and X2(Round your numerical values to four decimal places.)ŷ33.9(b) If appropriate, carry out a model utility test with a significance level of 0.05 to determine if at least one of the predictors age and weight isuseful for predicting home range size.State the null and alternative hypotheses.ⒸH₁: B₁ = B₂ = 039.632.257.224.568.6B₂ is not 0.₂ is not 1.O Ho: At least one of ₁ or ₂ is not 0.H₂: B₁ = B₂ = 0₂ is not 1.Calculate the test statistic. (Round your answer to two decimal places.)Use technology or SALT to calculate the P-value. (Round your answer to four decimal places.)

Introduction: The response variable is home-range size (km2) denoted by y; the predictor variables…

Answered: A statistical program is recommended. A…

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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Below is a table showing the weights of packages arriving at a post office during a day. Weight (kg) frequency 130 15 200 25 250 35 200 45 150 55 120 Find the sample variance. a. 493.06 O b. 351.68 O c. 288.88 O d. 293.06 O e. 28.8 LO LO
A statistical program is recommended. A paper gave the following data on n = 11 female black bears. Age(years) Weight(kg) Home-RangeSize (km2) 10.5 54 43.0 6.5 40 46.6 28.5 62 57.4 6.5 55 35.7 7.5 56 62.0 6.5 62 33.8 5.5 42 39.7 7.5 40 32.3 11.5 59 57.2 9.5 51 24.3 5.5 50 68.6 (a) Fit a multiple regression model to describe the relationship between y = home-range size and the predictors x1 = age and x2 = weight. (Round your numerical values to four decimal places.) = (b) If appropriate, carry out a model utility test with a significance level of 0.05 to determine if at least one of the predictors age and weight is useful for predicting home range size. State the null and alternative hypotheses. H0: ?1 = ?2 = 1Ha: at least one of ?1 or ?2 is not 1.H0: At least one of ?1 or ?2 is not 1.Ha: ?1 = ?2 = 1 H0: ?1 = ?2 = 0Ha: at least one of ?1 or ?2 is not 0.H0: At least one of ?1 or ?2 is not 0.Ha: ?1 = ?2 = 0 Calculate the test…
Given the following frequency table, the 10. sample Variance (S ) is 3 4 1. 12 13 15 10
Which of the following statistics are unbiased estimators of the population parameter? Select all that apply. A) Sample mean B) Sample proportion C) Sample range
The coefficient of determination for the following sample data is: x 420 610 625 500 400 450 550 650 480 565 y 2.80 3.60 3.75 3.00 2.50 2.70 3.50 3.90 2.95 3.30 a) 0.104 b) 0.958 c) 0.979 d) 0.5
The sample mean is often used as an estimator of the population mean because of its desirable properties, including: a. unbiasedness, consistency and efficiency Ob.consistency and minimum sampling error only Oc unbiasedness and consistency only Od. unbiasedness and efficiency only Oe. unbiasedness, consistency and minimum sampling error
A statistical program is recommended. The data below contains mileage, age, and selling price for a sample of 33 sedans. Price Mileage Age Price Mileage Age Price Mileage Age 16,998 35,000 3 11,599 95,000 8 18,998 20,000 2 17,599 16,000 3 10,499 123,000 8 12,599 63,000 7 15,998 42,000 3 14,599 54,000 5 12,599 70,000 6 15,998 61,000 4 10,599 68,000 11 10,998 88,000 10 11,599 102,000 7 16,998 40,000 4 11,998 86,000 6 13,998 109,000 4 20,998 7,000 1 12,998 60,000 6 14,998 60,000 5 11,599 81,000 9 17,599 45,000 2 11,599 88,000 9 12,599 70,000 9,998 96,000 11 12,599 58,000 8 13,599 86,000 5 9,998 60,000 11 14,998 27,000 6 11,599 92,000 7 16,998 36,000 2 15,998 32,000 4 9,599 120,000 10 17,599 45,000 2 Use the estimated regression equation that predicts the selling price of a used sedan given the mileage and age of the car to answer the following questions. (Let x₁ represent the mileage of the car, x2 represent the age of the car, and y represent the selling price of the car.) ŷ 20385.25…
The accompanying data below represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine. 32.7 35.7 38.0 38.7 40.2 42.1 34.1 36.4 38.1 39.1 40.6 42.9 34.5 37.4 38.3 39.5 41.4 43.4 35.6 37.7 38.6 39.6 41.6 48.9 Compute the z-score corresponding to the individual who obtained 37.4 miles per gallon. Interpret this result. The z-score corresponding to the individual is ____ and indicates that the data value is _____ standard deviation(s) above/below the mean/median (Type integers or decimals rounded to two decimal places as needed.)
According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours different from the recommended number of hours per unit? The data show the results of a survey of 16 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 1.5, 2, 2.9, 3.8, 4.6, 1.1, 1.8, 2.6, 1.4, 2.8, 4.5, 1.2, 1, 0.7, 3, 1.2 What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer < ≠ = > H1:H1: ? p μ Select an answer < ≠ = > The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject fail to…
According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours more than the recommended number of hours per unit? The data show the results of a survey of 12 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 1.2, 4.3, 4.5, 1.4, 1.5, 2.7, 1.8, 2.4, 1.3, 2, 2.2, 1.3 What can be concluded at the αα = 0.05 level of significance? A. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is more than 2. The data suggest the population mean is not significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is equal to 2. The data suggest that the population mean study time per…
A breeder of golden retriever dogs has kept records on litter size for several years. They want to know if litter size is dependent on parent age. Age of Sire 9.0 7.0 6.5 4.3 5.0 4.1 3.7 8.0 7.0 4.1 4.5 7.0 6.0 Age of Dam 2.0 2.5 4.0 3.3 6.0 5.0 4.5 4.1 8.2 2.4 2.9 3.7 4.0 Litter Size 11 10 9 12 5 9 9 8 7 10 12 10 9 b. Perform a regression analysis. Define your hypothesis, state your conclusions, and show all work.

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