In Nyameba Limited factory, inputs are important in producing products. One of the processing lines of the factory can combine units of input (tons of sand) to produce units of output (tons of blocks) such that there is a linear relationship between tons of sand and tons of blocks. Given the values of sand and blocks measured in tons: Tons of sand: 3 8 5 7 4 Tons of Blocks: 7 10 6 9 8 Required Estimate the coefficients of the equation linking sand and blocks. Write down the equation of line of best fit for sand and blocks and interpret it. Find the value of the coefficient of determination and interpret your result.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
In Nyameba Limited factory, inputs are important in producing products. One of the processing lines of the factory can combine units of input (tons of sand) to produce units of output (tons of blocks) such that there is a linear relationship between tons of sand and tons of blocks. Given the values of sand and blocks measured in tons:
Tons of sand: |
3 |
8 |
5 |
7 |
4 |
Tons of Blocks: |
7 |
10 |
6 |
9 |
8 |
Required
- Estimate the coefficients of the equation linking sand and blocks.
- Write down the equation of line of best fit for sand and blocks and interpret it.
- Find the value of the coefficient of determination and interpret your result.
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