Linear Regression and Correlation.y15.2828.464.3449.728.2Compute the equation of the linear regression line in the form y = mx + b, where mis the slope and b is the intercept.Use at least 3 decimal places. (Round if necessary)y =x +Compute the correlation coeficient for this data set. Use at least 3 decimal places.(Round if necessary)r=Use at least 3 decimal places. (Round if necessary)P-value =At the alpha = 0.01 significance level, is the correlation significant?NoYes, significant correlation

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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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The percentage of the variation in the value of y this is explained by the lease squares regression line is Group of answer choices ρ the slope of the regression line. the correlation coefficient. the coefficient of determination. the y-intercept of the regression line. The data below shows the summary statistics for a regression analysis on car weight (in metric tons) and fuel consumption (in miles per gallon). b0=48.8b0=48.8 b1=−8.37b1=−8.37 r2=0.36r2=0.36 (Note that 0.362=0.13 and 0.36−−−−√=0.6)(Note that 0.362=0.13 and 0.36=0.6) Choose the correct interpretation of the y-intercept of the line:
Use the computer output to estimate the intercept β0 and the slope β1.The regression equation is Y⁢=825-3.12X. Predictor Coef SE Coef T P Constant 825.405 89.72 9.20 0.000 X -3.119 1.023 -3.05 0.006 Intercept β0: Slope β1: Click if you would like to Show Work for this question: Open Show Work
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+
tot Consider the scatterplot given above. Which of the following could be the value of r? O A. 0.913 О В. -0.124 O C. -0.906 O D. 0.725 Given that the regression line has a slope of 0.345 and a y-intercept of - 0.296, find the slope-intercept equation of the regression line. y =| Use the regression line to predict the y-value for the x-value of - 0.627. (Round to three decimal places). y =
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Linear Regression and Correlation. x y 3 -2.64 4 -17.42 5 -15.2 6 -21.08 7 -21.66 8 -21.94 9 -26.12 10 -24.1 11 -29.08 12 -19.86 Compute the equation of the linear regression line in the form y = mx + b, where m is the slope and b is the intercept.Use at least 3 decimal places.y =_______ x +_______
Forest Fires and Acres Burned Numbers (in thousands) of forest fires over the year and the number (in hundred thousands) of acres burned for 7 recent years are shown. Number of fires x 58 47 84 62 57 72 69 Number of acres burned y 54 43 80 58 53 68 65 The correlation coefficient for the data is =r1 and =α0.05 . Should regression analysis be done? The regression analysis should not be done. The regression analysis should be done. Find the equation of the regression line. =y′+abx =a =b Find y′ when =x50 . =y′
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Two variables are defined, a regression equation is given, and one data point is given. Study = number of hours spent studying for an exam Grade = grade on the exam GRADE= 41.0 + 3.7 (STUDY) THE DATA POINT IS A STUDENT WHO STUDIED 10 HOURS AND RECIEVED AN 81 ON THE EXAM…
B and c

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Linear Regression and Correlation. X y 1 5.28 2 8.46 3 4.34 4| 9.72 5 8.2 Compute the equation of the linear regression line in the form y = mx + b, where m is the slope and bis the intercept. Use at least 3 decimal places. (Round if necessary)