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- Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Based on the set of data given in Table 5, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Round to three decimal places of accuracyThe following table provides values of the function f(x,y). However, because of potential; errors in measurement, the functional values may be slightly inaccurately. Using the statistical package included with a graphical calculator or spreadsheet and critical thinking skills, find the function f(x,y)=a+bx+cy that best estimate the table where a, b and c are integers. Hint: Do a linear regression on each column with the value of y fixed and then use these four regression equations to determine the coefficient c. x y 0 1 2 3 0 4.02 7.04 9.98 13.00 1 6.01 9.06 11.98 14.96 2 7.99 10.95 14.02 17.09 3 9.99 13.01 16.01 19.02
- For the following exercises, consider the data in Table 5, which shows the percent of unemployed in a city ofpeople25 years or older who are college graduates is given below, by year. 41. Based on the set of data given in Table 7, calculatethe regression line using a calculator or othertechnology tool, and determine the correlationcoefficient to three decimal places.For the following exercises, consider the data in Table 5, which shows the percent of unemployed ina city of people 25 years or older who are college graduates is given below, by year. 40. Based on the set of data given in Table 6, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to three decimal places.The regression equation is computed for a set of n = 18 pairs of X and Y values with a correlation of r = 0.50 and SSy = 48. Find the standard error of estimate for the regression equation. The standard error of estimate = How big would the standard error be if the sample size were n = 66? The standard error of estimate =
- An automobile rental company wants to predict the yearly maintenance expense (Y) for an automobile using the number of miles driven during the year () and the age of the car (, in years) at the beginning of the year. The company has gathered the data on 10 automobiles and run a regression analysis with the results shown below:. Summary measures Multiple R 0.9689 R-Square 0.9387 Adj R-Square 0.9212 StErr of Estimate 72.218 Regression coefficients Coefficient Std Err t-value p-value Constant 33.796 48.181 0.7014 0.5057 Miles Driven 0.0549 0.0191 2.8666 0.0241 Age of car 21.467 20.573 1.0434 0.3314 Use the information above to estimate the annual maintenance expense for a 10 years old car with 60,000 miles.Construct the indication prediction interval for an individual y. The equation of the regression line for the paired data below is y = 3x and the standard error of estimate is se = 2.2361. Find the 90% prediction interval of y for x = 3.Given are five observations for two variables, x and y. 2 8 10 17 20 Yi 54 51 45 14 13 Use the estimated regression equation: ŷ = 65.8697 – 2.6728x. %3| a. Compute the mean square error using equation. SSE s2 = MSE п — (to 4 decimals) b. Compute the standard error of the estimate using equation. SSE VMSE S = n 2 (to 4 decimals) c. Compute the estimated standard deviation of bị using equation. (xi - (to 4 decimals) d. Use the t-test to test the following hypotheses (a = 0.10): Но: Ві Ha: B1 + 0 Compute the value of the t-test statistic (Enter negative values as negative numbers). (to 3 decimals) What is the p-value? Use Table 2 from Appendix B. p-value is - Select your answer - What is your conclusion? We - Select your answer - * Ho.
- Given are five observations for two variables, x and y. 4 14 18 20 59 58 41 17 12 Use the estimated regression equation: ŷ = 74.9173 – 3.0256x. a. Compute the mean square error using equation. SSE g2 = MSE = n - 2 (to 4 decimals) b. Compute the standard error of the estimate using equation. SSE 8 = VMSE = п - 2 (to 4 decimals) c. Compute the estimated standard deviation of bị using equation. Sb, = (to 4 decimals) d. Use the t-test to test the following hypotheses (a = 0.05): Но: В, — 0 H: B1 +0 Compute the value of the t-test statistic (Enter negative values as negative numbers). (to 3 decimals) What is the p-value? Use Table 2 from Appendix B. p-value is - Select your answer - - Select your answer what is yd between 0.01 and 0.02 between 0.02 and 0.05 We - Sele between 0.05 and 0.10 between 0.10 and 0.20 e. Use the between 0.20 and 0.40 greater than 0.40 ses in part (d) at a 0.05 level of significance. lower than 0.01 Complete tetauie Derow usmg xtel. Calculate the Sum of Squares (to…The following estimated regression equation is based on 10 observations was presented. ŷ 29.1270 +0.59061 +0.498022 Here SST 6,885.875, SSR = 6,231.500, sb = = 0.0728, and 8 = 0.0540. a. Compute MSR and MSE (to 3 decimals). MSR: MSE: b. Compute F and perform the appropriate F test (to 2 decimals). Use a = 0.05. Use the F table. F = The p-value is - Select your answer - At a = 0.05, the overall model is Select your answer - V c. Perform a t test for the significance of B₁ (to 2 decimals). Use a = 0.05. Use the t table. to = The p-value is -Select your answer - At a= 0.05, there is - Select your answer-relationship between y and ₁. d. Perform a t test for the significance of B₂ (to 2 decimals). Use a = 0.05. Use the t table. to₂ = The p-value is - Select your answer - At a = 0.05, there is Select your answer-relationship between y and #₂.Using 50 observations, the following regression output is obtained from estimating y = 6g + 61x + 62d1 + 63dz + a. Standard Coefficients -0.75 2.86 -13.60 Error 0.30 1.10 t Stat -2.50 2.60 P-value 0.0160 0.0125 Intercept 16.00 -0.85 0.3997 d2 1.50 3.80 0.0004 5.70 a. Compute for x= 265, d 1, and d, = 0; compute for x 265, d1 = 0, and d, = 1. (Round your answers to 2 decimal places.) !! = 1 and d, 265, d1 265, d = 0 and d, = 1 b-1. Interpret d, and d2. (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer. Any boxes left with a question mark will be automatically graded as incorrect.) ?When d = 1, ý is 13.60 units greater than when d1 e, holding everything else constant. ?When d2 = 1, ŷ is 5.70 units greater than when d2 e, holding everything else constant. ?When d = 1, ŷ is 13.60 units less than when d1 0, holding everything else…