The table below shows the height, h, in meters, of an object that is thrown off the top of a building as a function oft, the time in seconds after it is thrown. 0.5 1 1.5 2.5 h(t) 81.075 93.7 103.875 111.6 116.875 119.7 Using your calculator to do a quadratic regression, express the height of the object as a function of the number of seconds that have passed since the object was thrown. Round all numbers to 1 decimal place.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
![The table below shows the height, h, in meters, of an object that is thrown off the top of a building as a
function of t, the time in seconds after it is thrown.
t.
0.5
1
1.5
2
2.5
3.
h(t)
81.075
93.7
103.875
111.6
116.875
119.7
Using your calculator to do a quadratic regression, express the height of the object as a function of the
number of seconds that have passed since the object was thrown.
Round all numbers to 1 decimal place.
Using your quadratic regression, how high will the object be 2.6 seconds after it is thrown?
meters
Round to 3 decimal places.
Using your quadratic regression, how long will it take the object to reach 23 meters?
seconds
Round to the decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a623529-d866-4029-bdf8-1bde4aeea0fc%2Faa87d7db-7e10-463e-b1eb-913fc8ae08eb%2Fqt16foa_processed.jpeg&w=3840&q=75)
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