The value of lumber is usually a nonlinear distribution. Listed here are the present costs at a preferred house enchancment retailer for two” x four” lumber in several lengths.
size – toes worth
eight $5.11
10 $7.58
12 $9.12
16 $12.87
* Create a scatterplot utilizing this information. Place the explanatory variable on the horizontal axis and response variable on the vertical axis. Remember to label the axes and scale.
* Decide the exponential regression mannequin for this information. Write the outcomes under:
Equation r2
* Decide the quadratic regression mannequin for this information. Write the outcome under:
Equation r2
* Use the regression fashions to make a worth chart for some non-standard lengths of two” x four” lumber.
Size – toes Exponential Regression Worth Quadratic Regression Worth
four
14
20
32
* Write a quick paragraph evaluating and contrasting the 2 regression fashions. Why do you assume the regression mannequin for lumber worth is finest represented in a nonlinear distribution?
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The value of lumber is usually a nonlinear distribution. Listed here are the present costs at a preferred house enchancment retailer for two” x four” lumber in several lengths.
size – toes worth
eight $5.11
10 $7.58
12 $9.12
16 $12.87
* Create a scatterplot utilizing this information. Place the explanatory variable on the horizontal axis and response variable on the vertical axis. Remember to label the axes and scale.
* Decide the exponential regression mannequin for this information. Write the outcomes under:
Equation r2
* Decide the quadratic regression mannequin for this information. Write the outcome under:
Equation r2
* Use the regression fashions to make a worth chart for some non-standard lengths of two” x four” lumber.
Size – toes Exponential Regression Worth Quadratic Regression Worth
four
14
20