The following estimated regression equation is based on 30 observations. y = 18+3.8x1-2.5x2 +7.7x3 + 2.9x4 The values of SST and SSR are 1,802 and 1,755, respectively. a. Compute R² (to 3 decimals). b. Compute R² (to 3 decimals). c. Comment on the goodness of fit. The estimated regression equation - Select your answer- く
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- The following estimated regression equation based on 30 observations was presented. ŷ = 17.6 + 3.8x1 − 2.3x2 + 7.6x3 + 2.7x4 The values of SST and SSR are 1,808 and 1,780, respectively. (a) Compute R2. (b) Compute Ra2. (c) Comment on the goodness of fit.The following estimated regression equation is based on 30 observations. y=17.4 - 4.0x 1- 2.3x2 +7.3x32.9x4 The values of SST and SSR are 1,808 and 1,760, respectively. Compute R2 (to 3 decimals). Compute Ra2 (to 3 decimals). How good is the fit provided by the estimated regression equation?which of the following regressions represents the strongest negative linear relationship between x and y? (Attached in picture provided)
- The following table displays the mathematics test scores for a random sample of college students, along with their final SY16C grades. a. Fit the regression line y = a+bx to the data and interpret the results. b. Use the regression equation to determine the SY16C grade for a college student who scored60 on their achievement test. What would their SY16C grade be?Using this regression equation, Ŷ = .45X+ 9, find the SSresidual you would need to calculate the standard error of the estimate. X Y 15 3 12 6 17 2 11 5Run a regression analysis on the following data set, where yyis the final grade in a math class and xxis the average number of hours the student spent working on math each week. hours/weekxGradey445.6548661.4107710771284.81376.21699.41910020100 State the regression equation y=m⋅x+by=m⋅x+b, with constants accurate to two decimal places. What is the predicted value for the final grade when a student spends an average of 15 hours each week on math? Grade = Round to 1 decimal place.
- The following table shows the annual expenditures, in dollars, per customer unit for residential landline phone services and cellular phone services in the United States in the given year.† Year Landline Cell 2004 592 378 2006 542 524 2008 467 643 2010 401 760 Calculate the regression line for each type of service. (Let t be the time in years since 2004, L be the operating revenue of landline phone services and C be the expenditure of cellular services. Round your regression parameters to two decimal places.) L(t) = C(t) = Determine the expenditure level at which the two lines cross. Round your answer for the expenditure level to one decimal place. million dollarsRun a regression analysis on the following data set, where yy is the final grade in a math class and xx is the average number of hours the student spent working on math each week. hours/weekx Gradey 5 59 6 54.4 6 56.4 8 59.2 11 68.4 12 78.8 13 75.2 14 89.6 14 89.6 16 87.4 State the regression equation y=m⋅x+by=m⋅x+b, with constants accurate to two decimal places. What is the predicted value for the final grade when a student spends an average of 15 hours each week on math?Grade = Round to 1 decimal place.Consider the set of ordered pairs shown below. Assuming that the regression equation is y= 2.814 + 0.406x and the SSE = 5.313, construct a 90% prediction interval for x= 3. x 6 0 4 4 4 2 y 5 3 6 5 3 3 Calculate the upper and lower limits of the prediction interval. UPL=LPL= Someone please help me solve this! Thank you!
- Use the sample data given in tablex 1 2 3 4 5y 3 4 1 2 1a) To Write the regression equation ̂y=mx+bb) Plot the regression equation and the scatter diagram on the same graphUse the following table to find the equation of the regression line, between x and y x312304y210342The accompanying data resulted from an experiment in which weld diameter and shear strength (in pounds) were determined for five different spot welds on steel. Below are the data collected and the regression equation. Diameter Strength 200.1 813.7 210.1 785.3 220.1 960.4 230.1 1118.0 240.0 1076.2 Strength = -941.6992 + 8.5988*Diameter The predicted y-hat value for a diameter of 201 is 864. if we observed a weld that had a diameter of 235 that had a strength 1000, what would be its residual?