A researcher obtained the following multiple regression equation using two predictor variables:
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- Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4arrow_forwardThe following table gives the data for the grades on the midterm exam and the grades on the final exam. Determine the equation of the regression line, yˆ=b0+b1x�^=�0+�1�. Round the slope and y-intercept to the nearest thousandth. Grades on Midterm and Final Exams Grades on Midterm 7171 6262 7878 9494 8383 8181 8080 9494 8585 6262 Grades on Final 8888 7979 8888 9191 8080 7070 7171 9393 6565 7777arrow_forwardSuppose you are estimating a wage regression, where salary is the dependent variable and age, years of education and a dummy variable for male are your independent variables. You are interested in measuring how salary differs between those who have at least a college education with those who have less than a college education. If a person is considered as having a college education when she has more than 12 years of education, how can you measure the difference in salary between college and non-college educated individuals? Select one: a. Multiply coefficient for years of education in original regression by 12 O b. Re-estimate model replacing years of education with a dummy variable for college c. Re-estimate model replacing years of education with a dummy variable for college and one for no college O d. Re-estimate model interacting years of education with a dummy variable for college e. Calculate the difference in predicted salary between an individual with 14 years of education and…arrow_forward
- A startup team is interested in creating a productivity app. In estimating the cost of creating the app, they collected sample data and developed the following regression equation: where 1 = number of developers b₂ a. What is the value of b2 in the equation? 2= number of hours spent creating the app Is cost of software and testing ($'000) y = total cost of creating app ($'000) b. Does it make sense to interpret by in this equation? OYes y = -8.825+20.4861 +0.56x2 + 1.02x3 O No $ c. Predict the cost of creating an app involving 3 developers, 650 hours and $18,000 in software and testing costs. Accessibility Investigate 8arrow_forwardWould I use the regression line to predict Y from X ? And what is the pattern of the scatterplot?arrow_forwardA linear relationship exists between two variables x and y. The correlation coefficient was calculated for the sample data and is equal to -0.93. Using the estimated regression equation, a straight line that will best fit the data points can be drawn through the points on the scattergram.The line slopes downward from left to right and the points are scattered close to the line. True or falsearrow_forward
- 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.…arrow_forwardA set of n = 25 pairs of X and Y values has a correlation of r = -0.50 with SSX = 38 and SSY = 14. Find the standard error of estimate for the regression equation. What percentage of the variance in Y is accounted for by X?arrow_forwardA linear relationship exists between two variables x and y. The correlation coefficient was calculated for the sample data and is equal to -0.93. Using the estimated regression equation, a straight line that will best fit the data points can be drawn through the points on the scattergram. The line slopes downward from left to right and the points are not scattered close to the line. True or falsearrow_forward
- A recent study showed that the hours a person exercised in a week affected the individual'sresting heart rate. It was computed that r = -.68 and the least squares regression line was?̂ = 83-1.4x, where x is the hours exercised and y is the resting heart rate. d. What percentage of variability in resting heart rate can be explained by variability inhours exercised?arrow_forwardDr. James did a study about the relationship between political attitudes for husbands and wives for a sample of N = 8 married couples. The wives had a mean score of M = 7 with SS = 172, the husbands had a mean score of M = 9 with SS = 106, and SP = 122. i. Find the regression equation to predict husbands’ political attitude from the wives’ score ii. what percentage of variance in the husbands’ political attitudes is explained by their wives' scores? iii. Can Dr. James use the regression equation to make a prediction of a new husband’s political attitude based on his wife's attitude score? Make a conclusion based on the summary table of analysis of regression.arrow_forwardFor 40 eruptions of the Old Faithful geyser in Yellowstone National Park, duration times (sec) were recorded along with the heights (ft) of the eruptions. The linear correlation coefficient is r = 0.0915 and the regression equation is = 119 + 0.0331x, where x represents duration time. The mean of the 40 duration times is 245.0 sec and the mean of the 40 heights is 127.2 ft. What is the best predicted height of an eruption with a duration time of 120 min?arrow_forward
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