The random sample of 5 school students is selected and their marks in statistics andaccountancy are found to beStatistics8560734090Accountancy9375655080Find the two regression lines.

The regression line are used to predict the future values. There are two types of regression lines,…

Answered: The random sample of 5 school students…

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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State the four conditions required for making regression inferences.
A research department of an American automobile company wants to develop a model topredict gasoline mileage (measured in MPG) of the company’s vehicles by using theirhorsepower and weights (measured in pounds). To do this, it took a random sample of 50vehicles to perform a regression analysis as follows: SUMMARYOUTPUTRegression StatisticsMultiple R 0.865689R Square 0.749417Adjusted RSquare 0.738754Standard Error 4.176602Observations 50ANOVAdf SS MS FRegression a 2451.973702 1225.987 dResidual b 819.8680976 cTotal 49 3271.8418CoefficientsStandardError t StatIntercept 58.15708 2.658248208 21.87797Horsepower -0.11753 0.032643428 -3.60028Weight -0.00687 0.001401173 -4.90349(a) State the multiple regression equation. Interpret the meanings of the coefficients forhorsepower and weight.(b) Test the validity of this multiple regression equation at the significance level of 1%. Showyour reasoning.(c) The research department claims that the weight of the vehicle is negatively linearly related…
The new manager of an Information Technology company collected data for a sampleof 20 computer programmers in the organization to perform a multiple regressionanalysis on the structure of their salaries. The aim of this manager in this exercise is todetermine if the Salary (y) of a hired computer programmer was related to the years ofExperience (??) in the organization and also the Score (??) of the programmers duringtheir first interview aptitude test scores. The years of experience, score on the aptitudetest and the corresponding annual salary (in thousands of Ghana cedis) for a sample ofthe 20 programmers is shown in the Regression statistics table below;Experience (??)(in years)Score (??)(out of 100%)Salary (y)(GH¢ 000)4 78 247 100 431 86 23.75 82 34.38 86 35.810 84 380 75 22.21 80 23.14 | P a g e6 83 306 91 339 88 382 73 26.610 75 36.25 81 31.66 74 298 87 344 79 30.16 94 33.93 70 28.23 89 30Managerial Report 2:Use Multiple Regression Analysis to help management develop a Salary…
6. another retail merchant who sells face masks spent a total $55 for advertising its product. using the regression model in (4), predict the sale of this merchant.
1. Prior to being hired, the ve salespersons for a computer store were given a standard sales aptitude test. For each individual, the score achieved on the aptitude test and the number of computer systems sold during the first 3 months of their employment are shown in the attached image. (a) Determine the least-squares regression line and interpret its slope. (b) Estimate, for a new employee who scores 60 on the sales aptitude test, the number of units the new employee will sell in her first 3 months with the company. (c) Find the standard error of estimate. (d) Find the r-square of the model.
A multiple regression includes two regressors: Yi = b0 + b1X1i +b2X2i + ui. What is the expected change in Y if X1 increases by 8 unitsand X2 is unchanged? What is the expected change in Y if X2 decreasesby 3 units and X1 is unchanged? What is the expected change in Y if X1increases by 4 units and X2 decreases by 7 units?
The least-squares regression line relating two statistical variables is given as = 24 + 5x. Compute the residual if the actual (observed) value for y is 38 when x is 2. 4 38 2
A random sample of non-industrialized countries was selected and the life expectancy in years is listed for both men and women. Given that the correlation coefficient is significant. Find the equation of the regression line men,x :59.7, 72.9,41.9,46.2,50.3,43.2 Women,y :63.8,77.8,44.5,48.3,54.0,43.5
The Weight and Blood Pressure of 26 Randomly Selected Male People in a Group ages 25 to 30 are shown in the following table. Suppose weight and blood pressure are normally and jointly distributed a) Find the regression line that relates blood pressure to weight and estimate the correlation coefficient.
Identify two different conditions under which the regression line should not be used to make predictions.
Fifty students take two midterm exams. On the first exam, the mean score is 65.0 and the standard deviation is 7.00. On the second exam, the mean score is 55.0 with a standard deviation of 10.00. The correlation coefficient of the two score is 0.70. Obtain the least squares regression line using the second exam score to predict the first exam score.
Enter the equation of the least‑squares regression line, with the numerical values rounded to three decimal places and ?� as the explanatory variable. (If you are using CrunchIt, adjust the default precision under Preferences as necessary.

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The random sample of 5 school students is selected and their marks in statistics and accountancy are found to be Statistics 85 60 73 40 90 Accountancy 93 75 65 50 80 Find the two regression lines.