Regression lines and least squares regresion line help.?

Question

I am honestly so lost in math at this point.
Could someone please walk me through this?

Data:
Age | 20| 25| 30| 40| 45| 50| 60| 70|
Beat|209| 203| 200| 191| 182| 179| 171| 159| 150

I already found the correlation.

so now, [1] find the equation of the regression line and the sum of the squared errors.
[2]use the least sqaures regession line to predict recommended heart rate for a person 55 years old.
[3]what is the slope of regression line?



Please don't comment saying "This is so easy, the answer is.."

I'm stuggling with it and I need someone to better explain it to me.

thanks in advance

Answer 1

There are equations for simple linear regression, but I'd avoid them if I were you. Find a regression capable application, like MS Excel, and plug in your data and work the problem using it. That's what real engineering and scientists do. Trying to do these manually is just asking for problems.

In general you are trying to find a specific solution to the general equation y = mx + b; where y is the dependent variable (Beat?), x is the independent variable (age?), m is the slope (dy/dx), and b is the y intercept when x = 0.

Using Excel, and the data you input, you find m and b. Put m and b into the general equation above. Then put in 55 for the x value and simply work the RHS to get y, the forecast beat.

Answer 2

WOW! I guess this is why my first year of college, I ended up in college arithmetic. I have no idea...Good luck on that one! : )
You go girl, with your square regression lines! Luv ya!

Answer 3

can you do it on a TI calc? It can do all that for you! enter into [STAT] turn DiagnosticsOn