Annual high temperatures in a certain location have been tracked for several years. Let x represent thenumber of years after 2000 and y the high temperature. Based on the data shown below, calculate thelinear regression equation using technology (each constant to three decimal places).Xy337.64437.02539.4640.78740.76844.54944.421046.21145.581246.661349.54The equation is ŷ

It is given that the random variable x denotes the number of years after 2000 and y denotes the high…

Answered: Annual high temperatures in a certain…

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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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 constant to 2 decimal places). X y 3 35.01 4 37.78 5 37.35 6 36.72 7 40.09 8 40.36 9 40.83 10 41.3 11 40.57 12 42.64 13 44.21 14 42.58 15 46.05 16 45.12 The equation is ĝ ŷ = X + Interpret the slope O For each additional 33.75 years, the annual high temperature will increase by 1 degree on average. O For each additional year, the annual high temperature will increase by 33.75 degrees on average. For each additional year, the annual high temperature will increase by 0.74 degrees on average. O For each additional 0.74 years, the annual high temperature will increase by 1 degree on average. Interpret the y-intercept O In 2000, the temperature was about 33.75. O In 2003, the temperature was about 33.75. O In 2003, the temperature was about…
Annual high temperatures in a certain location have been tracked for several years. Let X represent the year and Y the high temperature. Assume that temperature is independent each year. Based on the data shown below, calculate the regression line (each value to two decimal places). First the slope and then the y-intercept. Y X 3 4 5 67 8 00 a 9 y 10.14 10.85 11.86 11.17 7.58 9.79 7.5 x+
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 constant to 2 decimal places). x y 4 36.68 5 35.85 6 35.52 7 35.99 8 38.46 9 38.93 10 38 11 38.07 12 39.54 13 40.11 14 41.58 The equation is y^ = x + Interpret the slope For each additional 33.38 years, the annual high temperature will increase by 1 degree on average. For each additional 0.52 years, the annual high temperature will increase by 1 degree on average. For each additional year, the annual high temperature will increase by 0.52 degrees on average. For each additional year, the annual high temperature will increase by 33.38 degrees on average. Interpret the y-intercept In 2000, the temperature was about 33.38. It does not make sense to interpret the intercept in this scenario. In 2004, the…
Perform a linear regression analysis on the following data and determine the "a" coefficient (i.e., slope): Y 4.99 22.19 1.96 9.89 2.98 11 9 40.46 4.04 18.93 6.06 25 0.88 0.19 8.02 34.02 6.97 28.03
Listed below are the numbers of cricket chirps in 1 minute and the corresponding temperatures in °F. Find the regression equation, letting chirps in 1 minute be the independent (x) variable. Find the best predicted temperature at a time when a cricket chirps 3000 times in 1 minute, using the regression equation. What is wrong with this predicted temperature? Chirps in 1 min Temperature (°F) 913 1086 969 1081 1249 1138 1153 850 78.9 82.2 79.6 86.3 92 90.8 88 68.1 C The regression equation is y = + (x. (Round the y-intercept to one decimal place as needed. Round the slope to four decimal places as needed.)
Find the regression equation, letting the first variable be the predictor (x) variable. Find the best predicted Nobel Laureate rate for a country that has 79.4 Internet users per 100 people. How does it compare to the country's actual Nobel Laureate rate of 1.2 per 10 million people? Internet Users Per 100 Nobel Laureates 79.3 5.6 80.5 24.2 78.8 8.7 45.2 0.1 82.5 6.2 38 0.1 90.3 25.4 88.6 7.6 80.3 9.1 83.1 12.6 53.3 1.9 76.3 12.7 56.6 3.3 78.5 1.5 91.6 11.5 93.4 25.2 65.3 3.1 57.3 1.9 68.2 1.7 94.8 31.6 85.4 31.3 86.4 19.1 78.3 10.9 2) Check Image
The sales of a company (in million dollars) for each year shown in the table below (25)X(year) 2005 2006 2007 2008 2009Y (sales) 12 19 39 37 45a. Find the regression line of the data. Draw the inference about the dataset.b. Use the regression line as a model to estimate the sales of the company in 2012.
Solve for the y-intercept and the slope. Form the equation of the regression line that describes the relationship between the two variables. Predict the profit of the fashion boutique business when the store measures 3,800 square feet. Explain the result.
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 1118 796 1161 918 1103 1219 Temperature (F) 82 72.2 92.2 73 87.5 94.4
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 constant to one decimal place). X 1 2 3 4 5 6 7 8 9 10 11 y 33.99 37.78 37.27 37.16 37.65 40.54 41.13 42.52 40.11 41.9 45.69 The equation in y-ax+b form is Interpret the y-intercept of the equation: O For each additional 0.9 years, the annual high temperature will increase by 1 degree on average. For each additional 34.3 years, the annual high temperature will increase by 1 degree on average. O For each additional year, the annual high temperature will increase by 0.9 degrees on average. O For each additional year, the annual high temperature will increase by 34.3 degrees on average.
The table shows a country's average fuel consumption for "light duty" vehicles (passenger cars and small trucks) for several years. Let x be the number of years since 1985, so that x = 5 stands for 1990 and so forth. Year Fuel Economy (mpg) 1990 16.9 1995 17.7 2000 18.3 (a) Find the linear regression model for these data. What does the slope in the regression model represent? 2005 18.9 (b) Use the linear regression model to predict the country's average fuel economy for light duty vehicles in the year 2035. 2010 19.6 (a) Find the linear regression model for these data. Choose the correct answer below. (Use integers or decimals for any numbers in the equation. Round to the nearest hundredth as needed.)

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