Question

The graph and accompanying table shown here display 12 observations of a pair of variables (x, y).
The variables x and y are positively correlated, with a correlation coefficient of r = 0.96.
You estimate the slope of the least squares regression line, y = a + bx, for these data values to be b = 1.7. What is the y-intercept, a, of the least squares regression line? Round your answer to the nearest tenth.
X-3,6,8,9,9,13,15,18,20,21,23,23
Y-9,17,15,15,18,24,29,36,43,39,46,35

Answer 1

> x<-c(3,6,8,9,9,13,15,18,20,21,23,23)
> y<-c(9,17,15,15,18,24,29,36,43,39,46,55)

> cor(x,y)
[1] 0.9706552
> l<-lm(y~x)
> l

Call:
lm(formula = y ~ x)

Coefficients:
(Intercept) x
0.1281 2.0504

Answer 2

so what does this mean?

Answer 3

This is the slope and y intercept of the regression line.

Answer 4

so would i have to put that into the Y=a+bx

Answer 5

Yes, just like I did when you posted the same question earlier.

Answer 6

3.61378 ?

Answer 7

The data set changed from your first posting of the question.
> y<-c(9,17,15,15,18,24,29,36,43,39,46,35)
> cor(x,y)
[1] 0.9594526
> l<-lm(y~x)
> l

Call:
lm(formula = y ~ x)

Coefficients:
(Intercept) x
3.163 1.715


You should at least understand the question instead of just asking for answers.

Answer 8

whats the y intercept