7. Find slop of a linear regression model for the following data:x = [1,2,3,4,5,6,7]z = [ 1.40, 3.78, 4.41, 4.60, 8.40, 8.64, 12.81].-1.7-0.50.5O 1.7CS Scanned with CamScannel

Introduction The regression model shows a relationship b/w and independent variable and a dependent…

Answered: 7. Find slop of a linear regression…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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Interpret the following graphs for multiple linear regression and comment on the validity of model assumptions
3. A study of beer consumption using the annual data from 1980 -2001 produced the following regression: Y = 0.41 +0.052.X₁; −0.047X2; +0.032X3; −0.018X4i (0.027) (0.011) (0.009) (0.008) (0.009) R² = 0.94 F = 66.58 DW statistic=1.32, figures in the brackets are standard errors Where: Y₁ = Annual aggregate beer consumption in year t (billion pints) X₁₁ = Real disposable income income in year t ($ billions at 2001 prices) X2i = Price of beer in year t (index number with 2001 = 100) X31 Price of wine and sprits in year t (index number with 2001 = 100) = X4₁ = Price of cigarettes in year t (index number 2001 = 100) (a) What is the effect of a change in the price of beer on beer consumption? Does it have the correct sign? Explain. (b) Comment on the signs of the other three coefficients. Are they as expected? (c) Tests the significance of the coefficients on each of the variables Xit i = 1, 2, 3, 4. What assumptions have you made in carrying out these tests? (d) What conclusion do you draw…
The table shows data on the number of visitors to the UK in a month, (1000s), and the amount of money they spent, (£ millions), for each of 8 months. The correlation coefficient between and is 0.962 Give a reason to support fitting a regression model of the form to these data. Summary statistics are: For a regression model of the form . Find the value of b (the slope) correct to two decimal places. Now calculate a (the intercept) to calculate the regression model. Interpreting the value of b, each additional visitor spends £ __________ Using the equation calculated in part c, estimate the amount of money spent when the number of visitors to the UK in a month is 2,500,000
Q.1/ Use linear regression to fit the following experimental data. 图 2 3 4 5 7 10 y 5.2 7.8 10.7 13 19.3 26.5
The following table gives the data for the average temperature and the snow accumulation in several small towns for a single month. Determine the equation of the regression line, ŷ = bo + b₁x. Round the slope and y-intercept to the nearest thousandth. Then determine if the regression equation is appropriate for making predictions at the 0.05 level of significance. Critical Values of the Pearson Correlation Coefficient Average Temperature (°F) Average Temperatures and Snow Accumulations 42 31 24 45 38 18 33 21 25 9 12 27 7 15 22 30 13 20 37 Snow Accumulation (in.) 8

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7. Find slop of a linear regression model for the following data: x = [1, 2₁ 3, 4, 5, 6, 7] z = [ 1.40, 3.78, 4.41, 4.60, 8.40, 8.64, 12.81]. -1.7 O -0.5 0 0.5 1.7