For a sample of 48 monthly observations the regression of the percentage return on an investment (y) against the percentage change in the consumer price index (x) was estimated. The sample regression line, obtained through least squares, is shown below The estimated standard deviation of the slope of the population regression line was 1.8. Test the null hypothesis that the slope of the population regression line is 0 against the alternative that the slope is positive. Use a = 0.01. y = -0.003 + 8.2x Find the t-statistic. %3D (Round to two decimal places as needed.) Find the exact p-value, using Excel. The p-value is (Round to two decimal places as needed.) (1) Họ. There is (2) evidence that the slope coefficient is greater than zero. (1) O Do not reject O Reject (2) O sufficient O insufficient

For a sample of 48 monthly observations the regression of the percentage return on an investment (y) against the percentage change in the consumer price index (x) was estimated. The sample regression line, obtained through least squares, is shown below The estimated standard deviation of the slope of the population regression line was 1.8. Test the null hypothesis that the slope of the population regression line is 0 against the alternative that the slope is positive. Use a = 0.01. y = -0.003 + 8.2x Find the t-statistic. %3D (Round to two decimal places as needed.) Find the exact p-value, using Excel. The p-value is (Round to two decimal places as needed.) (1) Họ. There is (2) evidence that the slope coefficient is greater than zero. (1) O Do not reject O Reject (2) O sufficient O insufficient

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.CR: Chapter Review Exercises

Problem 15CR: Life Expectancy The following table shows the average life expectancy, in years, of a child born in...

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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
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.
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.
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