Linearize y = aexp(-bx2)
and determine the coefficients a and
b, and the coefficient of determination using the data below.
Estimate the value of y at x= 5.5.
x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
y | 4.852 | 4.299 | 3.571 | 2.713 | 1.904 | 1.367 | 0.895 | 0.430 | 0.365 |
I have explained each and every step in the solution even the very basic ones.
After solving for a while, I came to know that I have done some extra steps that's why I have cut them in the solution. So no need to worry.
Please rate if you like !!!
This helps to keep us motivated :)
Ask doubts (if any) in the comments section.
Linearize y = aexp(-bx2) and determine the coefficients a and b, and the coefficient of determination...
Match the coefficient of determination to the scatter diagram. The scales on the X-axis and y-axis are the same for each scatter diagram (a) R2 = 1. (b) R2 = 0.94, (c) R2 = 0.62 Response (a) Scatter diagram Explanatory (b) Scatter diagram Response (c) Scatter diagram Explanatory Response Explanatory Suppose a doctor measures the height, x, and head circumference, y, of 8 children and obtains the data below. The correlation coefficient is 0.807 and the least squares regression line...
9. An experiment was performed on a certain metal to determine if the strength is a function of heating time (hours). Results based on 20 metal sheets are given below. Use the simple linear regression model. ∑X = 40 ∑X2 = 200 ∑Y = 80 ∑Y2 = 1120 ∑XY = 388 Find the estimated y intercept and slope. Write the equation of the least squares regression line and explain the coefficients. Estimate Y when X is equal to 5 hours....
please solve using matlab 4. Nonlinear Regression Fit the below data with the following curve-fit equation y bi (ebr + 2 1.0000 1.5431 3.7622 10.0677 27.3082 Define a function of the sum of squared residuals (fSSR) as a function of the regression coefficients, b's. Minimize the fSSR function and determine the regression coefficients. Guess what would be the built-in math function to generate the original data? Plot the function in the existing figure with a smooth dashed line, calculate the...
Find the coeficient of determination The coefficient is__ 3 9) The coefficient of determination (2) tells you A) whether has any significance B) that the coefficient of correlation () is larger than 1 C) that you should not partition the total variation D) the proportion of total variation that is explained. SCENARIO 12-2 A candy bar manufacturer is interested in trying to estimate how sales are influenced by the price of their prodita this the company randomly chooses 6 small...
Animal Variable X Variable Y A 3 9 B 5 8 C 4 10 D 5 12 Using the data in the table above, calculate: Means for X and Y Standard Deviations for X and Y Coefficients of Variation for X and Y Correlation coefficient for X and Y Regression coefficient for X and Y Intercept Determine the regression equation
could you solve this by using matlab? 1.0 1.4 2.2 3.0 3.9 5.2 0.1 9.9 13.5 Create a function that calculates the coefficients of the least-squares regression for a 2nd order polynomial. Use LU Decomposition to find the coefficients. input should be a set of points (x,y) and output the coefficients (ao, ay, and az), the coefficient of determination (r), and the correlation coefficient (r). Please test your function on the data below and plot the results: X Y -10...
a. As discussed in class, a coefficient matrix Z constructed with basis functions can be used to solve for the unknown coefficients a; of a polynomial function. Use this technique to determine the coefficients do and a; for a linear fit (y = ao tax) to the following data: x 0 1 2 3 y 2.43 9.62 13.55 20.12 Hint: Use basis functions 1 and x to create your coefficient matrix Z. Solve for the vector a using the equation:...
Find the y-intercept Find the coefficient of determination The table below gives the list price and the number of bids received for five randomly selected items sold through online auctions. Using this data, consider the equation of the regression line. bo+bix, for predicting the number of bids an item will recelive based on the list price. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice,it would not be appropriate...
Determine the Pearson product-moment correlation coefficient for the following data. x 1 12 9 7 4 3 2 y 8 4 6 5 7 7 9
Question 7 3 pts Suppose that you have 50 observations on the variables Y and X. If the sample correlation coefficient is 0.5 (r=0.5), and you want to test the null hypothesis that the true population correlation coefficient (rho) is equal to zero, then the test statistic associated with this null hypothesis is: o 5 04 O2 O 3 Question 8 3 pts Suppose you estimate a multiple regression model using OLS and the coefficient of determination is very high...