1) Find the slope of the simple regression = b 0 + b 1 x . X Y 3 9 5 13 9 10 13

Question

1) Find the slope of the simple regression  = b0 + b1x.
X      Y
3      9
5     13
9    10
13   23
15     35

Select one:
a. 2.595
b. 1.109
c. -2.221
d. 1.884

2) If the residuals from a fitted regression violate the assumption of homoscedasticity, we know that:

Select one:
a. they are normally distributed.
b. they are independent of one another.
c. their variance is not constant.
d. there are extreme outliers.

3) A fitted regression Profit = -570 + 30 Sales (all variables in thousands of dollars) was estimated from a random sample of 20 pharmacies. For a pharmacy with Sales = 10, we predict that Profit will be:

Select one:
a. 3570.
b. 2430.
c. -270.
d. 870.

Explanation / Answer

1)

slope =Sxy/Sxx=1.884 option d

2) c. their variance is not constant

3)profit =-570+30*10=-270

option C

x y (X-Xbar)^2 (Y-Ybar)^2 (X-Xbar)(Y-Ybar) Yi' 3 9 36.00 81.00 135.00 6.692308 5 13 16.00 25.00 65.00 10.46154 9 10 0.00 64.00 72.00 18 13 23 16.00 25.00 -25.00 25.53846 15 35 36.00 289.00 -51.00 29.30769 Total 45.00 90.00 104.00 484.00 196.00 mean 9.00 18.00 SSx Ssy Sxy

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