SOLUTION: In need of assistance please, as I am completely lost. I was hoping to receive help understanding the following question: A regression was run to determine whether there is a

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Question 1127750: In need of assistance please, as I am completely lost.
I was hoping to receive help understanding the following question:
A regression was run to determine whether there is a relationship between hours of TV watched per day(x)and number of sit-ups a person can do (y). The results of the regression are given below. Use this to predict the number of sit-ups a person who watches 11 hours of TV can do.
y=ax+b
a=−1.341
b=32.234
r=−0.896
What is really throwing me off is where "r" comes into play.
I am not simply seeking an answer, instead I am asking for your knowledge on how to understand this type of equation, and how to solve something such as this.
Thank you for your time!
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
=hours of TV watched per day
number of sit-ups a person can do


if given:







You actually do not need to find . Also, when they say "use this", their meaning is "use this formula".

That's a formula for some variable . In other words, if you know what is, then you can find its associated value of . But, what does represent? If I told you,for example, that when , what is the meaning?
They gave you the values of the constants and .
Anytime you're given the value of a constant, you may substitute the given value for the symbol anywhere that symbol appears.
Finally, they gave you a value for. They want to know what will be for that value of ?

why ?
We should compute the correlation coefficient only for data that follows a linear pattern or to determine the degree to a data set is .
If the data exhibits a nonlinear pattern, the correlation coefficient for a linear regression is meaningless.
To get a sense for the relationship between the value of and the graph of the data.
The correlation coefficient is a value, , between and .
suggests a positive () relationship
suggests a negative () relationship
The closer the value is to , the the data.
The closer the value is to or , the the data is.
You have . This value is very close to , which suggests a strong relationship and the data is .

Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

In need of assistance please, as I am completely lost.
I was hoping to receive help understanding the following question:
A regression was run to determine whether there is a relationship between hours of TV watched per day(x)and number of sit-ups a person can do (y). The results of the regression are given below. Use this to predict the number of sit-ups a person who watches 11 hours of TV can do.
y=ax+b
a=−1.341
b=32.234
r=−0.896
What is really throwing me off is where "r" comes into play.
I am not simply seeking an answer, instead I am asking for your knowledge on how to understand this type of equation, and how to solve something such as this.
Thank you for your time!
r is GIVEN and is needed to determine if there's a relationship/correlation between the 2 variables. 

Since there is a correlation between the variables, the regression equation can be used to predict the dependent or y variable. If there was no 

relationship/correlation between the 2 variables, then you would NOT be able to use the regression equation to predict the number of sit-ups

a person can do, or y. In that case, the mean of the dependent variable would be the BEST predictor of y, or the number of sit-ups a person can do. 

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