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.
|
|
|
