Given the following summary information, calculate the value of the y-intercept for the least squares line. Enter your answer to two decimal places. Hint: You will need to find the slope estimate first.- n = 10- Σx = 28.8- Σy = 37.3- Σx² = 72- Σxy = 103.4To find the y-intercept, you first need to calculate the slope (b) using the formula:\[ b = \frac{n(Σxy) - (Σx)(Σy)}{n(Σx²) - (Σx)²} \]Once you have the slope, use it to find the y-intercept (a) with:\[ a = \frac{Σy - b(Σx)}{n} \]

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Answered: Given the following summary…

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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Data comprises of the number of hours studied (X) and the exam grade (Y) obtained for 6 first year students registered at UWC. The equation of best fit is given by: y = 67.071 + 4.535x. What is the correct interpretation of the equation? A. Every extra hour spent studying will likely result in better exam performance shown by a mark increase of about 67.07%. B. Every extra hour spent studying will likely result in better exam performance shown by a mark increase of about 4.54%. C. A 1 unit increase in y will lead to an increase of 4.535 units in x, D. Every extra hour spent studying will likely result in better exam performance shown by a mark increase of about 67.07+4.54% = 71.61%.
The file Galton on D2L contains the 928 observations Francis Galton used in 1885 to estimate the relationship between the heights of parents and the heights of their children. The column Children refers to the height (in inches) of a child, and the column Mid-Parents refers to the average height (in inches) of the mother and father of that child. You can download this file into Excel and Minitab. a. Calculate the regression Height of Children = a +b (Height of Mid-Parents). b. Calculate the average for Height of Children, and calculate the average Height of Mid-Parents. c. Create a new variable in Minitab which is the Height of Children measured in terms of deviations from its mean. Call this new variable y. Also, create a new variable in Minitab with is the Height of Mid-Parents measured in terms of deviations from its mean. Call this new variable x. Calculate the regression y = a + bx. You can create the new y and x variables in Excel of Minitab, whichever you find more convenient.…
UPVOTE WILL BE GIVEN! WRITE THE SOLUTIONS LEGIBLY. YOU MAY USE EXCEL.
The following multiple regression printout can be used to predict the price (Price) of a used car given how many miles it has on it (Mileage), the size of the engine (Liter), and whether it has leather interior (Leather), where Leather = 1 for cars that have leather interior and 0 otherwise. Regression Analysis: Price Versus Mileage, Liter, Leather Coefficients Term Coef SE Coef T-Value P-Value Constant 6, 956 511 13.61 0.000 Mileage -0.0846 0.0179 -4.73 0.000 3,797 1,021 Liter 125 30.38 0.000 Leather 314 3.25 0.001 Regression Equation Price = 6,9se - 0.0846 Mileage + 3,797 Liter + 1,021 Leather (a) Given this Minitab printout, is the response variable in this multiple regression equation a categorical or a numerical variable? O numerical O categorical (b) Determine whether the following statement is true or false. Given this Minitab printout, the regression coefficient for miles on the car (Mileage) is statistically significant at a = 0.05. O True False (c) Determine whether the…
In regression analysis, the coefficient of determination R2 measures the amount of variation in y that is:
Calculate the residual energy expenditure for a house with 1250 square feet. Explain what this measurement tells you in the context of this probelm. slope = 0.388 y-intercept=1027.554
Use the least squares regression model to estimate the maximum sustained wind speed in a hurricane when the pressure reading is 950 mb. Interpret the slope of the least squares regression model in the context of wind speed and atmospheric pressure. Determine the coefficient of determination and interpret its meaning in the context of wind speed and atmospheric pressure.
The number of banks in a country has been dropping steadily since 1984, and the trend in recent years has been roughly linear. The annual data for the years 1999 through 2008 can be summarized as follows, where x represents the years since 1990 and y the number of banks, in thousands. n=10 Ex-235 ²-5605 Ey-77.564 Ey²=603.80424 Exy-1810.155 a. Find an equation for the least squares line. b. Use your result from part a to predict the number of banks in the year 2020. c. If this trend continues linearly, in what year will the number of banks drop below 6200? d. Find and interpret the correlation coefficient.
Calculate the coefficient of variation between X and Y from the following data: 3 4. 6. Y 9. 10 12 11 13 14 16 重5
Using the weights (Ib) and highway fuel consumption amounts (mi/gal) of the 48 cars listed in the accompanying data set, one gets this regression equation: y = 58 9-0.00749x, where x represents weight Complete parts (a) through (d). Click the icon to view the car data. 東 b. What are the specific values of the slope and y-intercept of the regression line? O A. The slope is 58.9 and the y-intercept is 0.007499. B. The slope is -0.00749 and the y-intercept is 58.9. O C. The slope is 58.9 and the y-intercept is -0.00749. O D. The slope is 0.00749 and the y-intercept is 58.9. c. What is the predictor variable? O A. The predictor variable is highway fuel consumption, which is represented by x. B. The predictor variable is weight, which is represented by x. O C. The predictor variable is weight, which is represented by y O D. The predictor variable is highway fuel consumption, which is represented by y. d. Assuming that there is a significant linear correlation between weight and highway fuel…
If the regression line showing the effect of education on income has a slope of 1000. a) the variables are not related b) the Y intercept would be 1.00 c) every change in education increases income d) every year of education increases income by 1000
Compute the least-squares regression equation for the given data set. Round the slope and yFintercept to at least four decimal places. 4 y 7. 3. Send data to Excel Regression line equation: y =|

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Given the following summary information, calculate the value of the y-intercept for the least squares line. Enter your answer to two decimal places. Hint: You will need to find the slope estimate first. n = 10; X = 28.8; Σ y = 37.3; x² = 72; ху 3 103.4