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1 answer:
The height of the softball when it travels 12 feet using the quadratic regression model is 5.53 foot.
<h3>What is the correlation coefficient?</h3>Correlation coefficient is used to calculate how strong the relationship is between the two variables.
When there is a statistical relationship between two or more variables, then they are said to be in correlation.
The table represents the distance and height for softball travels after being hit by the batter.
- Distance x (ft) Height y (ft)
- 0 5
- 2 25
- 4 37
- 6 42
- 8 34
- 10 26
- Mean 5 28.167
The mean of the data of distance is 5 and the mean of the data of height is 28.167. The correlation coefficient is 0.9938.
The quadratic regression model for this model is given as,
At the 12 feet, the value of height y is,
Hence, the height of the softball when it travels 12 feet using the quadratic regression model is 5.53 foot.
Learn more about the correlation coefficient here;
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Step-by-step explanation:
To solve a system of equations, we can add the two equations and solve for one of the remaining variables -- let's try to eliminate the variable when we add the two equations together.
Right now, there's a term in the first equation, and a
term in the second equation, so if we add those together, we'll be able to eliminate the
variable altogether and solve for
.
However, when we also have a term in the first equation and
term in the second equation, so adding these together will also eliminate the
term, leaving a
on the left-hand side of the equation.
If we add the two numbers on the right side of the equation, we get , which does not equal
, meaning there are no solutions to this system of equations.