Animal |
Variable X |
Variable Y |
A |
3 |
9 |
B |
5 |
8 |
C |
4 |
10 |
D |
5 |
12 |
Using the data in the table above, calculate:
correlation and regression
210 Statistics EXTRA CREDIT Correlation and Regression Formulas written Assignment 1. Follow the instructions below to calculate the correlation coefficient and least squares regression line for the data set below. Z 22,- The sample means and sample standard deviations for the two variables are listed below: X = 4 x = 2 3 =5 Sy = 1 The linear correlation coefficient is = 52. Calculate this correlation coefficient using the steps below: (a) First, complete the columns...
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 shown below for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling. X 10 15 11 19 18 17 5 17 18 y 9070 30 8020 30 5060 40 40 a. Develop a simple linear regression equation for these data. b. Calculate the sum of squared residuals, the total sum of squares, and the coefficient of determination c. Calculate the standard error of the estimate. d. Calculate the standard error for...
x 7 10 8 4 3 y 8 11 9 5 4 a. Calculate the covariance between the variables. (Negative value should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.) b-1. Calculate the correlation coefficient. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.) b-2. Interpret the correlation coefficient. There is _____ no, a weak negative, a weak positive, a strong...
Q. 9 The following is a partial regression result of a two-variable model (i.e. simple linear regression). In the study, a health care economist seeks to determine if a relationship exists between personal income and expenditures on health care, both measured in billions of dollars. Regression Statistics Multiple R ??? R Square ??? Standard Error Observations 51 ANOVA df SS MS F P-value Regression 1 15,750.32 0.00001 Residual/Error Total ??? 16,068.21 Coefficients Standard Error t Stat P-value Lower 95% Upper...
9. An experiment was performed on a certain metal to determine if the strength is a function of heating time (hours). Results based on 20 metal sheets are given below. Use the simple linear regression model. ∑X = 40 ∑X2 = 200 ∑Y = 80 ∑Y2 = 1120 ∑XY = 388 Find the estimated y intercept and slope. Write the equation of the least squares regression line and explain the coefficients. Estimate Y when X is equal to 5 hours....
correlations and linear regression education and income
3. Use the following data set and complete the table. (Income is the dependent variable and education is the independent variable) Education (Years) I x -* Yi- } (x; - x)(y;-)) (x; -x² Income ($1000) 15 46 13 17 58 46 13 10 40 63 15 18 11 9 11 15 45 12 50 16 9 14 48 58 14 16 50 11 a. Calculate x, y, and the standard deviations for both...
x 10 8 13 9 11 14 6 4 12 7 5 y 9.14 8.13 8.75 8.76 9.26 8.09 6.13 3.11 9.13 7.26 4.73 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r =?
Table: Insurance Claim Approval Times (days) Old Process New Process Week Elapsed Time Week Elapsed Time 1 31.7 13 29 2 27 14 25.8 3 33.8 15 34 4 30 16 26 5 32.5 17 29 6 34 18 25.6 7 36 19 29 8 31 20 22.4 9 29 21 28.5 10 29 22 23 11 38.6 23 24 12 39.3 24 23 Use the date in table above and answer the following questions in the space...
X: Day of Leave Used 3 3 2 1 4 5 4 3 6 5 Y: Performance score 12 13 11 12 12 11 14 13 12 12 a) Using the table given above; Correlation (Relationship) Coefficient and Specification Calculate the coefficient and interpret briefly? 25 POINTS b) Provide brief information about the direction of the correlation (relationship)?