Regresion

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  • Topic: Statistics, Regression analysis, Statistical hypothesis testing
  • Pages : 4 (554 words )
  • Download(s) : 187
  • Published : January 28, 2013
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1. Given are five observations for two variables x and y
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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