Y X2 X3 1 1 2 3 2 1 8 3 -3 Based on these data, estimate the following regressions:
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- Use the table below to find the regression coefficients for b_0 and b_1. Explain what b_0 and b_1 representCalculation of Regression CoefficientsBeer (X) Cigarettes (Y)8 166 132 44 9The following data is to be used to construct a regression model: X 5 7 4 15 12 9 Y 8 9 12 26 16 13 The value of the y intercept is O 0.68 O 2.16 O 0.57 O 1.36 O 2.36The following data set shows the entrance exam score (Verbal GMAT) for each of eight MBA students along with his or her grade point average (GPA) upon graduation. Calculate the slope and y-intercept for the linear regression equation for these data. GMAT 310 290 260 270 340 260 300 310 GPA 3.7 3.1 3.2 3.2 3.8 2.9 3.7 2.9 Calculate the slope and y-intercept for the linear regression equation for these data. + (Round to three decimal places as needed.)
- The accompanying data are the number of wins and the earned run averages (mean number of earned runs allowed per nine innings pitched) for eight baseball pitchers in a recent season. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. (a) x = 5 wins (b) x = 10 wins (c) x = 19 wins (d) x = 15 wins Click the icon to view the table of numbers of wins and earned run average. The equation of the regression line is y = x+. (Round to two decimal places as needed.)Multiple regression analysis was used to study how an individual's income (Y in thousands of dollars) is influenced by age (X1 in years), level of education (X2 ranging from 1 to 5), and the person's gender (X3 where 0 =female and 1=male). The following is a partial result of computer output that was used on a sample of 20 individuals. Present the estimated regression equation and compute the coefficient of determination. Explain it. Use the t test to determine the significance of each independent variable. Let α = 0.05. (For each test, give the null and alternative hypotheses, test statistic, and conclusion.) Use the F test to determine whether or not the regression model is significant. Let α = 0.05. (For the test, give the null and alternative hypotheses, test statistic, and conclusion.) Does the estimated regression equation provide a good fit for the observed data? Explain it. Suppose a new person with X1=40, X2=4, X3=0. Use the estimated regression equation in part (a)…The accompanying data are the number of wins and the earned run averages (mean number of earned runs allowed per nine innings pitched) for eight baseball pitchers in a recent season. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. (a) x = 5 wins (c) x = 19 wins (d) x = 15 wins (b)x= 10 wins Click the icon to view the table of numbers of wins and earned run average. .. The equation of the regression line is y=x+ X+ (Round to two decimal places as needed.) Construct a scatter plot of the data and draw the regression line. Choose the correct graph below. OA. B. O C. O D. AERA AERA 6+ Q AERA 6+ 4- 4- 2- 2- 0- 6 12 18 24 0 12 18 24 6 12 18 24 Wins 12 18 24 Wins Wins Wins (a) Predict the ERA for 5 wins, if it is meaningful. Select the correct…
- Q2) Find the regression line for the following data, then predict the value of y when x is 5: X 0 2 4 6 8 y 2 4 3 8 10The 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, y = bo + b₁x. Round the slope and y-intercept to the nearest thousandth. Grades on Midterm and Final Exams Grades on Midterm 75 83 76 75 64 69 89 88 84 62 82 72 76 100 Grades on Final 77 82 73 75 81 63The following data set shows the entrance exam score (Verbal GMAT) for each of eight MBA students along with his or her grade point average (GPA) upon graduation. Calculate the slope and y-intercept for the linear regression equation for these data. GMAT GPA 300 300 260 290 340 270 290 310 D 3.7 2.9 3.2 3.2 3.9 3.1 3.7 2.9 Calculate the slope and y-intercept for the linear regression equation for these data. ŷ=+x (Round to three decimal places as needed.) 4
- The following data set shows the entrance exam score (Verbal GMAT) for each of eight MBA students along with his or her grade point average (GPA) upon graduation. Calculate the slope and y-intercept for the linear regression equation for these data. GMAT GPA 310 3.6 300 2.9 260 3.1 270 3.3 340 3.9 270 3.1 310 3.6 290 3.1 Calculate the slope and y-intercept for the linear regression equation for these data. Please show how to do using ExcelThe following table represents the survey results from the 7 online stores. Use linear regression to find the linear equation that is the best fit for the data, with x equal to the Online Advertising. Round your coefficients to three decimal places. Online Advertising Monthly e-Commerce Sales Online Store (in thousand dollars) (in thousand dollars) 1 1.5 368 1.7 340 3 2.8 665 4 5 954 1.3 331 6. 2.2 556 7 1.3 376 LO LOFourteen hikers were surveyed at Algonquin Park, and asked for how many days have you been hikingand far did your travel in that time? The equation for the linear regression line is y+3x + 10.3 where x is the number of days and y is the distance travelled. Does the data include an outlier? and if so which point? Number of days hiked 1 1 2 3 3 5 5 6 7 7 9 10 11 12 Distance Traveled (km) 12 17 18 19 21 23 25 23 30 31 37 39 41 52