Bus-173 (Applied Statistics) Q1. (a) Write down the simple linear regression model with necessary explanation of each term.(b) Mention assumptions of this simple linear regression model.(c) Write down the possible range for(i) Population correlation coefficient (p) and(ii) Sample correlation coefficient (r).(d) Draw graphs for the following with mentioning the values of r:(i) Perfect negative correlation(ii) Strong negative correlation(iii) Strong positive correlation

Q1. a. Simple linear regression model: The simple linear regression model is y=a+bx where, y- the…

Answered: (a) Write down the simple linear…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 4SGR

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Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.
If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use it to find a second model for the data. Graph this new equation along with your first model. How do they compare?
For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Based on the set of data given in Table 5, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Round to three decimal places of accuracy
What is regression analysis? Describe the process of performing regression analysis on a graphing utility.
For the following exercises, consider the data in Table 5, which shows the percent of unemployed in a city ofpeople25 years or older who are college graduates is given below, by year. 41. Based on the set of data given in Table 7, calculatethe regression line using a calculator or othertechnology tool, and determine the correlationcoefficient to three decimal places.

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(a) Write down the simple linear regression model with necessary explanation of each term. (b) Mention assumptions of this simple linear regression model. (c) Write down the possible range for (i) Population correlation coefficient (p) and (ii) Sample correlation coefficient (r).