Q4// Evaluate the coefficient a, b from the below data using least square regression method, then compute the error of data. 2 3 4 5 6 7 5 10 y 15 16 21 27 1 4
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- Compute the least-squares regression equation for the given data set. Use a TI-84 calculator. Round the slope and y intercept to at least four decimal places. x 5 7 6 2 1 y 4 3 2 5 1 Regression line equation: =A magazine publishes restaurant ratings for various locations around the world. The magazine rates the restaurants for food, decor, service, and the cost per person. Develop a regression model to predict the cost per person, based on a variable that represents the sum of the three ratings. The magazine has compiled the accompanying table of this summated ratings variable and the cost per person for 25 restaurants in a major city. Assuming a linear relationship, use the least-squares method to compute the regression coefficients b0 and b1.2. A company that holds the DVD distribution rights to movies previously released only in theaters wants to estimate sales revenue of DVDs based on box office success. The box office gross (in Php millions) for each of 22 movies in the year that they were released and the DVD revenue (in Php millions) in the following year are shown below and stored in (pic) a. construct a scatter plot. b. assuming a linear relationship, use the least-squares method to determine the regression coefficients b0 and b1.
- Using the least-squares regression line, y=-25.5+1.5x, what is the residual for the data point at (28,19)?A box office analyst seeks to predict opening weekend box office gross for movies. Toward this goal, the analyst plans to use online trailer views as a predictor. For each of the 66 movies, the number of online trailer views from the release of the trailer through the Saturday before a movie opens and the opening weekend box office gross (in millions of dollars) are collected and stored in the accompanying table. Assuming a linear relationship, use the least-squares method to determine the regression coefficients b0 and b1. Interpret the meaning of the slope, b1, in this problem. Predict the mean opening weekend box office gross for a movie that had 80 million online trailer views. What insights can be obtained about predicting opening weekend box office gross from online trailer views?The least-squares regression equation is y=647.8x+17,858 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7507. predict the median income of a region in which 20% of adults 25 years and older have at least a bachelor's degree. Round to the nearest dollar as needed.
- For the regression model Yi = b0 + eI, derive the least squares estimator.The least-squares regression equation is y=784.6x+12,431 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7962. Predict the median income of a region in which 25% of adults 25 years and older have at least a bachelor's degree.Suppose the simple linear regression model, Yi = β0 + β1 xi + Ei, is used to explain the relationship between x and y. A random sample of n = 12 values for the explanatory variable (x) was selected and the corresponding values of the response variable (y) were observed. A summary of the statistics is presented in the photo attached. Let b1 denote the least squares estimator of the slope coefficient, β1. What is the value of b1?
- 1a. Develop an estimated regression equation for these data. 1b. Compute the residuals and standardized residualsThe 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 2The estimate of b in the regression equation y=a+bx+error by the method of least square is