Question

Suppose that you are interested in the relationship between the return rate on a stock in 2010 compared to the return rate in 2009.-You believe that the return rates in both years are positively correlated. A sample of 15 stocks'yields the following regression results: b0=5.3, b1= 1.04, sb= 1.79, and MSE = 35.4. 1:79, sb= 0.2163, R2 = 0.64

i. How would you explain the slope coefficient b1?
ii. What is the least squares regression line?
iii. What is the predicted value of y when x = 5
iv. Calculate the error sum of squares.
v. Calculate the total sum of squares.
vi. Calculate the regression sum of squares.
vii. Prepare the analysis of variance table for regression.

Answer 1

Explanation:

1. we have b1 = 1.04 which is positive. we say that the return I. 2009 is positively correlated with the return in 2010.

2. Y = b0 + b1X

Y = 5.3 + 1.04X

3. If x = 5

Y = 5.3 + 1.04(5)

Y = 10.5

4. SSE = mse x (n-2)

n = 15, mse = 35.4

SSE = 35.4 x(15-2)

= 35.4 x 13

= 460.2

5. We are to find SST here

R² = SSR/ SSR + SSE

R² = 0.64

SSE = 460.2

0.64 = SSR/SSR+460.2

Cross multiply

0.64(SSR + 460.2) = SSR

0.64ssr + 294.528 = SSR

Collect like terms

294.528 = SSR - 0.64SSR

294.528 = 0.36SSR

SSR = 294.528/0.36

SSR = 818.13

SST = SSR + SSE

= 818.13 + 460.2

= 1276.53

6. The SSR has been calculated to be 818.13