Question
A Manager of a car company wants to estimate the relationship between age of cars and annual
maintenance cost. The following data from six cars of same model are obtained as:
| Age of Car (in years) | Annual Maintenance Cost (In hundred rupees) |
| 1 | 10 |
| 2 | 15 |
| 3 | 18 |
| 4 | 20 |
| 5 | 25 |
| 6 | 35 |
(a) Construct a scatter diagram for the data given above.
(b) Fit a best linear regression line, by considering annual maintenance cost as the dependent variable and the age of the car as the independent variable.
(c) Use this regression line to predict the annual maintenance cost for the car of age 8 years.
Answer :
Word Count : 412
We are asked to solve this step by step manually. Given data: | Age of Car (x) | Maintenance Cost (y) | | -------------- | -------------------- | | 1 | 10 | | 2 | 15 | | 3 | 18 | | 4 | 20 | | 5 | 25 | | 6 | 35 | --- Step (a): Scatter diagram A scatter diagram is simply a plot of points $(x, y)$: * Point 1: (1, 10) * Point 2: (2, ____ ____ _______ ____ _____ _______ ________ __________ ______ ____ _____.
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We are asked to solve this step by step manually. Given data: | Age of Car (x) | Maintenance Cost (y) | | -------------- | -------------------- | | 1 | 10 | | 2 | 15 | | 3 | 18 | | 4 | 20 | | 5 | 25 | | 6 | 35 | --- Step (a): Scatter diagram A scatter diagram is simply a plot of points $(x, y)$: * Point 1: (1, 10) * Point 2: (2, ____ ____ _______ ____ _____ _______ ________ __________ ______ ____ _____.
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