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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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Answer:
5/6
Step-by-step explanation:
<em>Dividing fractions:</em>
<em>Step 1: Rewrite the first fraction as it is.</em>
<em>Step 2: Replace the division sign with a multiplication sign.</em>
<em>Step 3: Flip the second fraction.</em>
<em>Step 4: Multiply the fractions and reduce the product if necessary.</em>
Let's use the rule of dividing fractions on your problem.
Step 1: Rewrite the first fraction as it is.
Step 2: Replace the division sign with a multiplication sign.
Step 3: Flip the second fraction.
Step 4: Multiply the fractions and reduce the product if necessary.
To multiply fractions, multiply the numerators together, and multiply the denominators together.
We notice that the greatest common factor of 20 and 24 is 4, so we divide both the numerator and denominator by 4 to reduce the fraction.