A microeconomist wants to determine how corporate sales are influenced by capital and wage spending by companies. She proceeds to randomly select 26 large corporations and record information in millions of dollars. The MicrosoftExcel output below shows results of this multiple regression. Note: the Excel results are for a standard two-tailed test.Click the icon to view the results.What is the p-value for testing whether Wages have a negative impact on corporate sales?OutputSUMMARY OUTPUTO A. 0.05Regression StatisticsO B. 0.99995Multiple RR SquareAdjusted R Square0.830O C. 0.00010.6890.662O D. 0.00005Standard Error17501.643Observations26ANOVASp15579777040Signif F0.0001MSFRegression778988852025.432Residual237045072780306307512Total2522624849820CoeffStdErrort StatP-valueInterceptCapitalWages15800.0000 6038.29992.6170.01540.12450.20450.6090.54857.07621.47294.8040.0001PrintDone

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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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Process the following data and interpret them, namely: - The Regression Equation! - Determine the correlation coefficient and explain the meaning of its value. How do you determine the sign of the correlation coefficient?
The output of a another regression analysis on the effect of radio advertising spending, television advertising spending and online advertising spending on sales is given below. For this study they explored 3 different types of advertising spending (radio, television and online). They modelled it as y = ao + a1¤1+a2x2 + a3X3. The table below gives the summary output of this regression analysis. Regression Analysis: Sales versus Spend Analysis of Variance Source DF MS F-Value P-Value Regression dfreg MSR 10.00 F-val p-val Error dferr 560.58 MSE Total 38 Find the Mean Squares Error (MSE ) in the above table. Give your answer to 3 decimal places.
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You are a researcher who is interested in how watching television influences children’s performance in school. You find out how many hours of television 5 children watch, on average, in a week. You have obtained their overall grade average. Child No. Hours of TV Overall Grade Average 1 5 80 2 20 67 3 6 75 4 14 70 5 12 80 Calculate the correlation between hours of television watched and overall grade average. Interpret the correlation – what does it mean? Calculate the regression equation (use television watching to predict grade). Make a scatter plot of the data and draw the line of best fit on your scatter plot.
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For the data below, what is the value of "b" for the regression equation? Family Father Son 120 121 110 105 120 125 92 87 85 92 72 90 107 110 115 122 155 133 90 123
** if there is not enough evidence to fill in the formula please clarify.
Prehistoric pottery vessels are usually found as sherds (broken pieces) and are carefully reconstructed if enough sherds can be found. An archaeological study provides data relating x = body diameter in centimeters and y = height in centimeters of prehistoric vessels reconstructed from sherds found at a prehistoric site. The following Minitab printout provides an analysis of the data. Predictor Coef SE Coef T PConstant -0.215 2.429 -0.09 0.929Diameter 0.7905 0.1471 5.29 0.003 S = 4.07980 R-Sq = 87.5% a) For the least-squares line ŷ = a + bx, what is the value of the constant a? What is the value of the slope b? (Note: The slope is the coefficient of the predictor variable.) Write the equation of the least-squares line.a = b = ŷ = ______+ ____x b) The P-value for a two-tailed test corresponding to each coefficient is listed under P. The t value corresponding to the coefficient is listed under T. What is…
The data show the number of viewers for television stars with certain salaries. Find the regression equation, letting salary be the independent (x) variable. Find the best predicted number of viewers for a television star with a salary of $2 million. Is the result close to the actual number of viewers, 5.1 million? Use a significance level of 0.05. Salary (millions of $) Viewers (millions) 101 8 8 3 12 12 8 5.5 7.4 6.8 4.7 5.6 6.6 2.3 9.1 Click the icon to view the critical values of the Pearson correlation coefficient r. What is the regression equation? y=+x (Round to three decimal places as needed.) What is the best predicted number of viewers for a television star with a salary of $2 million? The best predicted number of viewers for a television star with a salary of $2 million is million. (Round to one decimal place as needed.) Is the result close to the actual number of viewers, 5.1 million? O A. The result is exactly the same as the actual number of viewers of 5.1 million. O B.…
In doing regression analysis in MS Excel, what are the three sets of data you see from Regression result? Select all that apply. A. Probability Output B. Residual Output C. ANOVA D. Summary Output E. OVERALL Fit
Listed. below are paired data consisting of movie budget amounts and the amounts that the movies grossed. Find the regression equation, letting the budget be the predictor (x) variable. Find the best predicted amount that a movie will gross if its budget is $115 million. Use a significance level of a = 0.05. Budget ($)in Millions Gross ($) in Millions 41 21 114 68 79 51 118 65 9. 61 122 21 15 151 110 119 11 107 56 128 116 101 107 55 105 222 39 22 283 45 Click the icon to view the critical values of the Pearson correlation coefficient r. The regression equation is y%= X. %3D (Round to one decimal place as needed.)

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