In: Statistics and Probability
The following information on maintenance and repair costs and revenues for the last two years is available from the accounting records at Arnie’s Arcade & Video Palace. Arnie has asked you to help him understand the relation between business volume and maintenance and repair cost.
Month | Maintenance and Repair Cost ($000) | Revenues ($000) |
July | $2.01 | $53.00 |
August | 2.98 | 47.00 |
September | 2.50 | 43.00 |
October | 1.91 | 59.00 |
November | 2.00 | 71.00 |
December | 0.84 | 99.00 |
January | 2.82 | 39.00 |
February | 2.86 | 45.00 |
March | 2.72 | 55.00 |
April | 2.68 | 57.00 |
May | 1.74 | 61.00 |
June | 1.48 | 73.00 |
July | 2.30 | 67.00 |
August | 1.72 | 61.00 |
September | 2.27 | 69.00 |
October | 2.08 | 71.00 |
November | 1.13 | 81.00 |
December | 0.46 | 111.00 |
January | 2.28 | 55.00 |
February | 1.98 | 57.00 |
March | 1.39 | 77.00 |
April | 1.65 | 81.00 |
May | 1.65 | 67.00 |
June | 1.51 | 63.00 |
Required:
Using Excel, estimate a linear regression with maintenance and repair cost as the dependent variable and revenue as the independent variable. (Negative amounts should be indicated by a minus sign. Round "Multiple R, R square and Standard Error" to 7 decimal places, Intercept and Revenues to 4 decimal places.)
REGRESSION
STATISTICS
MULTIPLE R ?
R SQUARE ?
STANDARD ERROR ?
OBSERVATIONS ?
COEFFICIENTS
INTERCEPT ?
REVENUES ?
In regression analysis, the dependent variable is denoted "Y" and the independent variables are denoted by "X"
So here dependent variable is Maintenance and Repair Cost ($000) and independent variable is Revenues ($000)
1. Bring data into excel sheet.
2. Go to data tab and choose data analysis and choose Regression statistics
output:
Multiple R | 0.8758188 |
R Square | 0.7670586 |
Adjusted R Square | 0.75647 |
Standard Error | 0.3181921 |
Observations | 24 |
Intercept | 4.1403 |
Revenues ($000) | -0.0336 |