pratice final A, TI-89 titatnium calculator may be used if needed. whichever is easier for me. please help

Question

Answer 1

34).

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  sample of 5 adults tabulated as shown below .

S.no	Height(inches(x))	Weight(pounds(y))	xy	x²	y²
1	62	130	8060	3844	16900
2	65	145	9425	4225	21025
3	67	140	9380	4489	19600
4	68	155	10540	4624	24025
5	72	168	12096	5184	28224

From the above table, Σx = 334, Σy = 738, Σxy = 49501, Σx² = 22366, Σy² = 109774 , number of samples n = 5 .

.

y = - 99.365 + 3.697 x .

So the regression equation is y = - 99.365 + 3.697 x .

Solution : Option (b) is the correct choice.

Answer 2

33).

.

Apply formula : .

.

Therefore, .

Solution : Option (c) is the correct choice.