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.- \( n = 12 \)- \( \sum x = 27 \)- \( \sum y = 36.8 \)- \( \sum x^2 = 74 \)- \( \sum xy = 96 \)

The independent variable is x. The dependent variable is y. This is simple linear regression model.…

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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The table and scatter plot show the time spent studying, x, and the midterm score, y, for each of 10 students. The equation of the line of best fit is y = 4.2x+11.58. Time spent Midterm 100- studying, x (in hours) score, y 90 3.3 21.51 4.0 28.04 Midterm score 60 Xx 4.8 22.89 50- 5.7 36.06 40- 6.9 36.28 30- 20- 8.2 58.20 104 8.5 45.42 14 10 12 14 16 18 20 22 24 12 9.1 56.72 12.1 70.00 Time spent studying (in hours) 15.0 74.58 Use the equation of the line of best fit to fill in the blanks below. Give exact answers, not rounded approximations. Time spent studying (in hours) Observed midterm Predicted midterm Residual Score Score 12.1 15.0
NOT ANSWER B
Assume that an r of .80 describes the relationship between daily food intake, mea-sured in ounces, and body weight, measured in pounds, for a group of adults. Would a shift in the units of measurement from ounces to grams and from pounds to kilograms change the value of r ? Justify your answer
Fit a straight line to the data given in Table , first assuming that there is no error in w (weight) values, and then assuming that there is no error in (height) values. Compare the results from both equations.
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…
Consider the following table, find the value of the INTERCEPT (b) of the regression line. X Values Y Values 23 8 22 25 4 24 7 21
The horsepower (Y, in bhp) of a motor car engine was measured at a chosen set of values of running speed (X, in rpm). The data are given below (the first row is the running speed in rpm and the second row is the horsepower in bhp): rpm 1100 1400 1700 2300 2700 3200 3500 4000 4600 5200 5600 6100 Horsepower (bhp) 50.2 64.29 67.83 98.56 131.09 163.65 161.55 198.62 226.03 254.71 283.63 299.81 The mean and sum of squares of the rpm are 3450.0000 rpm and 173900000.0000 rpm 22 respectively; the mean of the horsepower values is 166.6642 bhp and the sum of the products of the two variables is 8506152.0000 rpm bhp. Given Values: a) Slope: 0.052 b) Intercept: -11.694 c) 95% Confidence Interval when the standard error of the estimate of the slope coefficient was found to be 0.001160: (0.0494, 0.0546) please answer the following: Part e)Without extending beyond the existing range of speed values or changing the number of observations, we would expect that increasing the variance of the…
The number (in millions) of employees working in educational services in a particular country was 13.8 in 2005 and 18.2 in 2014. Let x = 5 correspond to the year 200 and estimate the number of employees in 2010. Assume that the data can be modeled by a straight line and that the trend continues indefinitely. Use two data points find such a line and then estimate the requested quantity. ... Let y represent the number of employees. The linear equation that best models the number of employees (in millions) is (Simplify your answer. Use integers or decimals for any numbers in the equation. Round to the nearest hundredth as needed.) In 2010, the number (in millions) of employees working in education services would be (Type an integer or a decimal rounded to the nearest hundredth as needed.)
Given the following graph, calculate the slope and uncertainty in the slope. Pressure vs Volume P (Pa) 1 0.90cm (21.45cm, 18.40cm) 0.90cm х100 3 2.10cm (9.50cm, 6.40cm) 2.10cm 2. 6. 7. V (m) X10-1
B6
The owner of Reliable Furniture was studying the relationship between sales (y) and the amount spend on advertising (x). A random sample of 65 homes gives the following information. The intercept = 17.28 and the slope = 0.8 The estimated sales for 10 amount of advertisment is
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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 fırst. n = 12; x = 27; Σ y = 36.8; Σ x2 = 74; Σ xy = 96