Question

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Answer 1

The height of the softball when it travels 12 feet using the quadratic regression model is 5.53 foot.

What is the correlation coefficient?

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,

$y=5.29+11.78x-0.98x^2$

At the 12 feet, the value of height y is,

$y=5.29+11.78(12)-0.98(12)^2\\y=5.53$

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;

brainly.com/question/4219149

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