Question

For the following problem, define what each each element means in terms of the problem given below:

The following are hours that Joe, John, Tamar, and Alicia spent studying for the test, respectively: 4, 5, 7, 9

The following are scores that Joe, John, Tamar, and Alicia earned for that test, respectively: 9. 8, 12, 14

i. Find the correlation coefficient and interpret what it means in the context of the problem.

ii. Find the Least Squares Regression Line and interpret what it means in the context of the problem.

iii. What does the slope and y-intercept mean in context of the problem?

Answer 1

i)

this is close to 1 ,it means variables are strongly positively correlated.

ii)

it means one variable can be written as a linear function of other variable.

iii) y intercept is 3.4407,

it means at x= 0 , y is 3.4407 initially.

slope is 1.1695, it means

if we increase x by 1 unit , y will increase by 1.1695 unit

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