Chapter 13, Problem 13.19AC

A researcher wants to investigate the influence of the average no. of nights spent per year by the tourists from Japan on the average amount spent by them. Table 3 shows the related data obtained from the Department of Statistics Malaysia website. Table 4 shows a portion of Microsoft Excel output for the regression analysis performed based on the data in Table 3.   Table 3: Data on the nights spent by tourists from Japan and amount spent Year Average no. of nights spent  Average amount spent (in RM billion) 2010 5.9 1.1 2011 6.1 1.1 2012 6.1 1.4 2013 6.3 1.5 2014 6.4 1.8 2015 6.1 1.6 2016 6.2 1.3 2017 6.3 1.2 2018 6.6 1.7 2019 6.9 2.3    Table 4: Regression analysis   Coefficients Standard Error t Stat P-value Intercept B0 1.4555 -3.7583 0.0056 Average no. of nights spent  B1 0.2312 4.7934 0.0014   a. Note that the value of B0 and B1 are missing from Table 4.…

A random sample of 102 observations is selected to estimate the relationship between the price of a used car (y) and its odometer readings (x). The estimated simple regression line is: ý = 6533 – 0.03x (0.004) where the value 0.004 in bracket is the standard error of the point estimator for the slope in the regression model. Question 15. What percent of the variability of the used car values can be explained using this model? O 60% O 36% O 80% O 64% O 95% O o o o

3. (a). Differentiate the different types of linear regression and describe the use of regression in geographical study.  (b). Calculate the value of the slope, b, for observations of n = 22,  r2 = 0.73, standard deviation of x = 2.3 and the regression sum of square = 1324.