Based on the software output, write the fitted simple linear regression equation.CoefficientsTermCoefSE CoefT-Value P-ValueConstant3.201.921.670.237[Select]y=0.6000.5661.060.400+[Select]xDoes a simple linear regression model seem reasonable in this situation?[Select]

To write the fitted simple linear regression equation based on the coefficients provided. The table…

Answered: Based on the software output, write the…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 17HP

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What is regression analysis? Describe the process of performing regression analysis on a graphing utility.
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
XYZ Corporation Stock Prices The following table shows the average stock price, in dollars, of XYZ Corporation in the given month. Month Stock price January 2011 43.71 February 2011 44.22 March 2011 44.44 April 2011 45.17 May 2011 45.97 a. Find the equation of the regression line. Round the regression coefficients to three decimal places. 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 the stock price to be in January 2012? January 2013?
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The age and height (in cm) of 400 adult women from Bolivia were measured. A researcher wants to know if age has any effect on height. A linear regression is carried out in Minitab and the following output obtained. Coefficients Term Constant Age (a) Write down the regression model. (b) Interpret the regression coefficient for the fitted model. (c) Use the output from Minitab to explain if the age of a participant affects their height. Percent (d) The normal probability plot of the residuals from this regression model is given below. Do the assumptions of the regression model seem reasonable? Justify your answer. 99.9 8 28 22299229 88 Coef SE Coef 152.94 7.69 0.022 0.231 01 -100 T-Value P-Value VIF 19.90 0.000 0.10 0.924 1.00 -50 Normal Probability Plot (response is Height) 0 Residual 50 ***** 100 150
Annual high temperatures in a certain location have been tracked for several years. Let X represent the number of years after 2000 and Y the high temperature. Based on the data shown below, calculate the linear regression equation using technology (each number to three decimal places). ŷ X Click Download CSV to download csv file of data or copy/paste the data into Excel. After downloading the file, you may want to save it as an Excel Workbook. The fitted regression equation is - y 0 31.6 1 32.23 2 33.56 3 31.99 4 31.92 5 34.55 6 33.88 7 36.51 8 35.54 9 36.47 10 36 11 36.93 Interpret the y-intercept of the equation: O In 2000, the temperature was about 31.5. O In 2000, the temperature was about 0.503. O In 2000, the temperature was about 31.5. O In 2011, the temperature was about 36.93.
The data show the bug chirps per minute at different temperatures. Find the regression equation, letting the first variable be the independent (x) variable. Find the be predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute. Use a significance level of 0.05. What is wrong with this predicted value Chirps in 1 min Temperature (°F) 989 763 1229 757 1035 990 O 75.4 72.7 95.6 69.6 86.6 82 What is the regression equation? (Round the x-coefficient to four decimal places as needed. Round the constant to two decimal places as needed.)
In a simple linear regression prediction equation, the slope is defined as which of the following? The slope is the value of X when Y = 0. For a one-unit change in Y (the criterion), there will be a slope-unit change in X (the predictor) For a one-unit change in X (the predictor), there will be a slope-unit change in Y (the criterion) The slope is the value of Y when X = 0.
The data show the bug chirps per minute at different temperatures. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute. Use a significance level of 0.05. What is wrong with this predicted value? Chirps in 1 min: 751 805 800 959 1053 1078 Temperature (°F): 71.1 72.8 66.1 80.9 78.6 84.8 What is the regression equation? y=_?_+_?_ x (Round the x-coefficient to four decimal places as needed. Round the constant to two decimal places as needed.) The best predicted temperature when a bug is chirping at 3000 chirps per minute is ??? Round to one decimal place as needed.)
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Based on the software output, write the fitted simple linear regression equation. Coefficients Term Coef SE Coef T-Value P-Value Constant 3.20 1.92 1.67 0.237 [Select] y= 0.600 0.566 1.06 0.400 +[Select] x Does a simple linear regression model seem reasonable in this situation? [Select]