Answer:
Regression Line is given by,
y = 22.909 + 0.209 x
The course grade of a student in the course who spent an average of 103 minutes in the course each week is: 22.909 + 0.209 × 103 = 44.436
Step-by-step explanation:
The equation of Regression equation is of the form of:
y = a + bx
where, a is intercept and b is slope
The formula for a and b is given by,

Here, ∑X = 1149.8, ∑Y = 377.2, ∑XY = 93115.95, ∑X² = 320246.72
Thus, a = 22.909
and b = 0.209
Thus, Regression Line is given by,
y = 22.909 + 0.209 x
Thus, The course grade of a student in the course who spent an average of 103 minutes in the course each week is: 22.909 + 0.209 × 103 = 44.436
Now plotting these line:
Answer:
1,2,3,5,6,10,15,30
Step-by-step explanation:
Factors of 30 are the following:-
1x30=30
2x15=30
3x10=30
5x6=30
6x5=30
10x3=30
15x2=30
30x1=30
Given f(x)=2x, if (x)=14, find x
x=3
Answer:

And 
Step-by-step explanation:
For this case we assume that for the first square we have the following dimensions:

And we know that:

And the area for the second square would be:

And we know that the sum of areas is 65 so then we have this:

And replacing we got:


We can divide the last expression by 2 and we got:

And we can factorize the last expression like this:

And we have two solutions for
and we got:

Since the length can't be negative we have this:

And 