The statistical software output for this problem is :

38.8%
Sample correlation coefficient = 0.616
Given are five observations for two variables, and y. 1 2 3 5 Yi 3 7 5 11 14 The estimated regression equation for these data is ý = 0.2 +2.6z. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE = Sy.- SST = = (y - SSR = = (y - SSE SST SSR b. Compute the coefficient of determination (to 3 decimals). Does this least squares line provide a good fit? Yes, the...
Given are five observations for two variables, x and y. xi Yi 1 4 2 7 3 8 4 5 11 15 The estimated regression equation for these data is y = 1.2 + 2.6x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSD = 2(y - ý) SST = 2(y; - 5)2 SSR = 2() - 12 SSE SST SSR b. Compute the coefficient of determination 2 (to 3 decimals). Does this least squares...
Consider the following data for two variables, x and y. (a) Develop an estimated regression equation for the data of the form ý = bo + 5,x. (Round bo to two decimal places and b, to three decimal places.) Comment on the adequacy of this equation for predicting y. (Use a = 0.05.) The high p-value and low coefficient of determination indicate that the equation is inadequate. The high p-value and high coefficient of determination indicate that the equation is...
4. Comparing the fit of the regression lines for two sets of data Aa Aa E Examine each of the following scatter diagrams and the corresponding regression lines. Identify which line better fits its data. Graph I Graph 11 Next, calculate a measure of how close the data points are to the regression line. Following are the six pairs of data values for Graph I, along with the regression equation: 5.6 6.6 9.6 y = -0.25 + 1.44x Assignment 14...
Consider the data. xi 2 6 9 13 20 yi 9 18 8 25 21 a. What is the value of the standard error of the estimate? (Round your answer to three decimal places.) (b) Test for a significant relationship by using the t test. Use α = 0.05. State the null and alternative hypotheses. H0: β1 = 0 Ha: β1 ≠ 0 H0: β0 ≠ 0 Ha: β0 = 0 H0: β1 ≠ 0 Ha: β1 = 0 H0:...
A sales manager collected the following data on x = years of experience and y = annual sales ($1,000s). The estimated regression equation for these data is ý = 81 + 4x. Salesperson Years of Experience Annual Sales ($1,000s) 1 107 103 101 119 8 9 10 10 11 13 123 127 136 (a) Compute SST, SSR, and SSE. SST = SSR = SSE = (b) Compute the coefficient of determination 2. (Round your answer to three decimal places.) 12...
Given are five observations for two variables, x and y. 4 8 12 16 18 yi 58 51 48 14 15 The estimated regression equation for these data is y= 76.77 - 3.41x a. Compute SSE, SST, and SSR (to 2 SSE decimals) (to 2 SST decimals) (to 2 SSR decimals) b. Compute the coefficient of determination r. Comment on the goodness of fit (to 3 decimals) % of the variability in y has been explained by the estimated regression...
Consider the data: X- 1 Y- 6 3 14 5 7 2 20 9 11 10 18 13 15 26 22 (a) Calculate the correlation between X and Y. 0.7399 (b) What percent of the variation in Y can be attributed to X? (Round to a whole percent) 55 % (c) Obtain the equation of the regression line for these data y = X +
The data from exercise 3 follow. xi 2 6 9 13 20 yi 7 18 9 26 23 The estimated regression equation is = 7.6 + .9x. What is the value of the standard error of the estimate (to 4 decimals)? What is the value of the t test statistic (to 2 decimals)? What is the p-value? Use Table 1 of Appendix B. Selectless than .01between .01 and .02between .02 and .05between .05 and .10between .10 and .20between .20 and...
Consider the following data for a dependent variable y and two independent variables, 21 and 22. 21 22 30 12 95 47 11 108 25 18 113 51 16 178 40 5 94 52 20 176 74 7 171 36 12 118 59 13 142 77 16 211 Round your all answers to two decimal places. Enter negative values as negative numbers, if necessary. a. Develop an estimated regression equation relating y to @i. + 31 Predict y if *1...