Formulate research problems andhypotheses to test the effect between 2variables (variable X and variable Y). Thefollowing presents quantitative data fromthe measurement results of variables Xand Y from a number of individuals(sample) taken randomly from a certainpopulation. The distribution of themeasurement data is as follows:No. Resp. 1 2 3 456 789 10 11 12 13 14 15 16Var.X11 22 9 5 25 10 13 12 17 16 20 15 18 19 23 28Var.Y17 30 12 9 34 15 20 19 24 22 29 21 25 27 31 36Based on these data, solve the followingstatistical problems:d. What is the direction of the relationshipformed between the X variable and the Yvariable?

d) The regression analysis is conducted here by using EXCEL. The software procedure is given below:…

Answered: Formulate research problems and…

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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1. Birds can regrow feathers if they are lost. A researcher was interested in whether newly regrown feathers in the tails of northern flickers differed in colour (yellowness in particular) compared to older feathers. To test this, they measured the yellowness of one new and one randomly selected old feather on each of 20 birds. A plot of their data and the results of their analysis are shown below. Yellowness 160 150 140 130 new X Feather old Welch Two Sample t-test = data: Yellowness by Feather t = 1.5832, df 37.986, p-value 165 sample estimates: mean in group new mean in group old 147.9623 143.3000 160 New 155 150 145 140 135 = 0.1217 alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval: -1.299296 10.623962 T T T T T 130 135 140 145 150 155 160 Old a) From the results above, what is the null hypothesis and what statistical conclusion do you make concerning it?
Using the following table: 1. Determine a hypothesis to test the relationship between students enrolled 12 months or less and sleep of students, use descriptive statistics to describe the variables both numerically and graphically, identify the appropriate type of statistical test using alpha = 0.05, perform the statistical test (please show steps). ID Months enrolled Sleep 1 12 360 2 6 400 3 8 420 4 10 440 5 48 540 6 48 480 7 36 320 8 32 440 9 6 300 10 22 420 11 15 500 12 20 400 13 11 440 14 18 300 15 29 360 16 13 480 17 49 410 18 16 430 19 24 330 20 8 480
2. Five 2 cm thick experimental pieces of an insulation material were tested atrandom. Resulted compression (y) was measured recorded for the given amount ofmeasured pressure. The data are listed below:Pressure Compression1 12 23 24 35 5Fit a simple linear model relating compression y to the applied pressure x and find:a) error variance.b) the coefficient of correlation.
A construction firm bids on two different contracts. Let E1 be the event that the bid on the first contract is successful, and define E2 analogously for the second contract. Suppose that P(E1) = 0.7 and P(E2) = 0.5 and that E1 and E2 are independent events. (a) Calculate the probability that both bids are successful (the probability of the event E1 and E2).
treatment conditions. a. Treatment 1 0 0 0 3 0 0 T=3 SS = 7.5 Treatment 2 2 3 1 3 2 1 T = 12 SS=4 Treatment 3 4 2 4 3 4 4 G=36 SStotal = 42 T = 21 SS = 3.5 Use an analysis of variance with a = .05 to determine whether these data indicate any significant mean differences among the treatments. Please organize all of your work on a source table E C
There is a strong relationship between heterosexual couples attractiveness scores. Therefore, a researcher wanted to determine if husbands attractiveness score may be predicted from their counterparts’ scores. Below are couples attractiveness ratings. Observation Wife (X) Husband (Y) 1 11 14 2 6 7 3 16 15 4 4 7 5 1 3 6 10 9 7 5 9 8 3 8 Complete the following ANOVA table Source SS DF MS F SSreg SSres SStotal
Which of the following is not a sample property of OLS? a. Sample covariance of each included variable and the residuals is zero b. the sum of all residuals is zero c. the average of all residuals is zero d. the covariance of x and y is on the regression line.

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