Test B Review, Calculator may be used, whichever is simpliest please show me thanks

Question

Answer 1

29).

Regression analysis investigates the relationship between variables; typically, the relationship between a dependent variable and one or more independent variables .

We use linear regression when we have a continuous outcome variable (Y) and we want to explore how Y changes as a function of one or more predictors (X).

So here in this case we use linear regression .

The equation for  linear regression is  y = a + b x .

Now we have to calculate values for a and b .

The table is shown below .

S.no	x	y	xy	x²	y²
1	- 2	8	- 16	4	64
2	1	5	5	1	25
3	3	1	3	9	1
4	7	- 4	- 28	49	16

From the above table, Σx = 9, Σy = 10, Σxy = - 36, Σx² = 63, Σy² = 106, number of samples n = 4.

.

.

y = 5.579 - 1.368 x .

So the regression equation is y = - 1.368 x + 5.579.

Solution : Option (a) is the correct choice.

Answer 2

30)

Given limit function is

Solution : Option (c) is the Correct Choice.