The accompanying values are a set of data for y, the amount of money (in thousands of dollars) contributed to the alumni association at a certain university from a certain graduate class, and x, the number of years following graduation for that class. Complete parts (a) through (c) below. Click the icon to view the contribution data. (a) Fit a regression model of the type μyx = ẞo +ẞ1×1. ŷ= -587 + (428) ×₁ (Round to the nearest integer as needed.) (b) Fit a quadratic model of the type μyx = Po +ẞ₁×₁ +B₁₁x²₁. ŷ = ] + (1) ×₁ + ( )× (Round the x-coefficient to one decimal place as needed. Round all other constants and coefficients to the nearest integer as needed.) Contribution Data y x y X 812.42 1 2754.00 11 821.50 2 4391.50 12 1209.50 3 5578.50 13 1355.00 4 5545.00 14 1299.00 8 6084.00 15 2562.50 9 5762.00 16 2528.50 10 8907.00 17

The accompanying values are a set of data for y, the amount of money (in thousands of dollars) contributed to the alumni association at a certain university from a certain graduate class, and x, the number of years following graduation for that class. Complete parts (a) through (c) below. Click the icon to view the contribution data. (a) Fit a regression model of the type μyx = ẞo +ẞ1×1. ŷ= -587 + (428) ×₁ (Round to the nearest integer as needed.) (b) Fit a quadratic model of the type μyx = Po +ẞ₁×₁ +B₁₁x²₁. ŷ = ] + (1) ×₁ + ( )× (Round the x-coefficient to one decimal place as needed. Round all other constants and coefficients to the nearest integer as needed.) Contribution Data y x y X 812.42 1 2754.00 11 821.50 2 4391.50 12 1209.50 3 5578.50 13 1355.00 4 5545.00 14 1299.00 8 6084.00 15 2562.50 9 5762.00 16 2528.50 10 8907.00 17

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.CR: Chapter 1 Review

Problem 86CR

See similar textbooks

Similar questions

Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
Life Expectancy The following table shows the average life expectancy, in years, of a child born in the given year42 Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 a. Find the equation of the regression line, and explain the meaning of its slope. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2019? e. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1580?2300
What is regression analysis? Describe the process of performing regression analysis on a graphing utility.
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.