# Regresion

**Topics:**Statistics, Regression analysis, Statistical hypothesis testing

**Pages:**4 (554 words)

**Published:**January 28, 2013

xi yi

1 3

2 7

3 5

4 11

5 14

a. Develop a scatter diagram for these data.

b. What does the scatter diagram in part (a) indicate about the relationship between the two variables? *La relación entre ambas es una muy concreta y aproximada. Por lo que en múltiple R es de 92 %. Por lo que se acepta la Hipótesis nula. Además podemos concluir que tiene una fuerte correlación positiva.

c. Try to approximate the relationship between x and y drawing a straight line through the data. d. Develop the estimated regression equation by computing the values of b0 and b1 using equations : Y=2.6x+0.2

e. Use the estimated regression equation to predict the value of y when, x =4. Y=2.6(4) + 0.2

= 10.4 + 0.2

Y = 10.6

The estimated regression equation for (exercise 1) data is: y= .20+2.60x

a. Compute the SSE,SST, and SSR, using the following equations: SSE= (yi-yi)2

SSE = 12.40

SST= (yi-yi)2

SST = 80

SSR= (yi-yi)2

SSR = 67.6

b. Compute the coefficient of correlation r

0.845 = + 0.9192

c. Compute the coefficient of determination r2

r2 = 67.6/80 = 0.845

Consider the following hypothesis test:

H0: β1 = 0

Ha: β1 ≠ 0

a. Compute the value of the test statistic.

4.044

b. What is the p value?

0.0272

c. At = .05, what is your conclusion?

RHo

d. What is the rejection rule using the critical value? What is your conclusion? *Se rechaza la hipótesis nula ya que el P value es menor que alfa .05

2. Given are five observations for two variables x and y

xi yi

3 55

12 40

655

20 10

14 15

f. Develop a scatter diagram for these data.

g. Try to approximate the...

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