I need one example hand calculation for each box in the exce
I need one example hand calculation for each box in the excel spreadsheet file picture below for regression analysis. Below that is the full data set for x and y that is cut off in the spreadsheet.
Linear Regression Robert Erikson Fall 2015 This sheet performs a regression analysis for the linear function: y=ax + b User inputs are shaded (sheet will accept up to 1000 data points) 140 Measured Data Estimate Confidence Interval Prediction Interval 120 Confidence Level 157 Mean of Values (xbar) Mean of y Values (ybar) 99% 10 8 3.36 762100 Degrees of Freedom (df= n-2) --Ybar SST,-(x-xbar)\" 10374£ 2816F 80 624E Intercept (a) Slope (b) Coefficient of Determination (R2) 4.32 0.460 0.78 Ybar chart data 105 213 0.087 0.169Solution
Sol)
The Regression equation is y=a+bx
From the Excel we have
From the above analysis
The regression equation is y=4.32 + 0.46 (x)
| SUMMARY OUTPUT | ||||
| Regression Statistics | ||||
| Multiple R | 0.882261 | |||
| R Square | 0.778385 | |||
| Adjusted R Square | 0.750683 | |||
| Standard Error | 8.832871 | |||
| Observations | 10 | |||
| ANOVA | ||||
| df | SS | MS | F | |
| Regression | 1 | 2192.243 | 2192.243 | 28.09862 |
| Residual | 8 | 624.1569 | 78.01961 | |
| Total | 9 | 2816.4 | ||
| Coefficients | Standard Error | t Stat | P-value | |
| Intercept | 4.318192 | 13.88217 | 0.31106 | 0.763706 |
| X | 0.459705 | 0.086724 | 5.300813 | 0.000728 |
