a) by the…regression sum of squares, error sum of squares, or total sum of squares…which for these data is…318.8361, 41.9197, or 362.0680c) minimizes the…regression sum of squares, error sum of squares, or total sum of squares…which for these data is…318.8361, 41.9197, or 362.0680 Bivariate data obtained for the paired variables x and y are shown below, in the table labeled "Sample data." These data are plotted in the scatter plot in Figure1, which also displays the least-squares regression line for the data. The equation for this line is y = 134.83 - 1.04x.In the "Calculations" table are calculations involving the observed y-values, the mean y of these values, and the values y predicted from the regressionequation.Sample dataX53.7y76.061.066.570.875.852.9Send data to Excel75.264.463.9Answer the following.Calculations(v-)²90.630476.03844.32646.6564184.4164Column sum:362.0680(v-)²8.892314.51611.61297.30089.5976Column sum:41.9197(-)²156.300024.10810.656127.8995109.8723Column sum:318.836130-75+70-55+so+55-50-Figure 1(a) The variation in the sample y-values that is explained by the estimated linear relationship between x and y is givenby the (Choose one)▼, which for these data is (Choose one) ▼(b) The proportion of the total variation in the sample y-values that can be explained by the estimated linearrelationship between x and y is. (Round your answer to at least 2 decimal places.)Ś?圖图 Answer the following.(a) The variation in the sample y-values that is explained by the estimated linear relationship between x and y is givenby the (Choose one)which for these data is (Choose one)▼(b) The proportion of the total variation in the sample y-values that can be explained by the estimated linearrelationship between x and y is. (Round your answer to at least 2 decimal places.)The least-squares regression line given above is said to be a line that "best fits" the sample data. The term "bestfits" is used because the line has an equation that minimizes the (Choose one)which for thesedata is (Choose one)X

The regression is used to estimate the linear relationship between two variables. And the same…

(a) The variation in the sample y-values that is explained by the estimated linear relationship between x and y is given by the (Choose one) which for these data is (Choose one) ▼ (b) The proportion of the total variation in the sample y-values that can be explained by the estimated linear relationship between x and y is . (Round your answer to at least 2 decimal places.) (c) The least-squares regression line given above is said to be a line that "best fits" the sample data. The term "best fits" is used because the line has an equation that minimizes the (Choose one) which for these data is (Choose one) ▼

(a) The variation in the sample y-values that is explained by the estimated linear relationship between x and y is given by the (Choose one) which for these data is (Choose one) ▼ (b) The proportion of the total variation in the sample y-values that can be explained by the estimated linear relationship between x and y is . (Round your answer to at least 2 decimal places.) (c) The least-squares regression line given above is said to be a line that "best fits" the sample data. The term "best fits" is used because the line has an equation that minimizes the (Choose one) which for these data is (Choose one) ▼

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 coefficient of determination (r2) is a measure of the: a.) amount of variance in the dependent variable explained by the independent variable. b.) correlation between two variables. c.) variability of the dependent measure. d.) slope of a regression line.
A city wants to know if a new advertising campaign to make citizens aware of the dangers of driving after drinking has been effective. The accompanying table shows the number of drivers who have been stopped with more alcohol in their systems than the law allows for each day of the week in the week before and the week a month after the campaign starts. Assume that the data from each population is Normally distributed. Complete parts a through i below. A. Are the data paired? Explain. B. Compute the mean difference C. Compute the standard deviation of the differences. D. Compute the standard error of the mean difference. E. Find the value of the t-statistic. F. How many degrees of freedom does the t-statistic have? G. Is the alternative one- or two-sided? Explain. H. What is the P-value associated with this t-statistic? Assume that the other assumptions and conditions for inference are met.
b. Add in the table provided in the spreadsheet a dummy variable that takes the value of 1in the fourth quarter of each year and show the table with all the data c. Using the data provided in the spreadsheet including the dummy variable you have created for the fourth quarter of each year run a regression with dependent variable the CBC house price index and independent variables the other three variables (Nominal GDP, Number of Households, and the dummy variable for the fourth quarter). Present the typical regression results output for this regression produced by Excel. d. Explain what the particular numbers for the following statistics that you presented in b) mean (no points will be given if you write general definitions without interpreting the particular numbers that you have presented): a. R-squared b. The t-statistics of the three independent variables c. The coefficients of the three independent variables e. Discuss if the signs that you get for the coefficients of each of the…