Question

mework eBook Video Use computer software packages, such as Minitab or Excel, to solve this problem. Consider the following data for two variables, and y. 3 22 24 26 30 35 40 y 12 21 33 35 40 36 a. Develop an estimated regression equation for the data of the form ý = bo + ba (to 2 decimals, if necessary). Enter negative value as negative number y = -6.77 + 1.23 2 b. Using the results from part (a), test for a significant relationship between x and y;use a = 0.05. What is the value of the coefficient of determination (to 3 decimals)? (to 3 decimals) What is the value of the F test statistic (to 2 decimals)? 6.85 What is the p-value? Select your answer Using a = 0.05, what is your conclusion? Select your answer c. Select the coorect scatter diagram

Answer 1

Solution:

According to the given instruction we solve this problem using the minitab statistical software as below

therefore

a.

Regression Equation

y = -6.77 + 1.23 x

b.
value of coefficientof determination is 0.631

the value of F test statistics is 6.85

Now P-value = 0.059

using the p-value we give the conclusion about hypothesis here p-value is greater thean 0.05 therefore we accept H0 at alpha = 0.05

now

c.

十四 30 35 40 45 x

tTherefore option A is correct option

Ans: A

d.

Regression Equation

y = -168.885 + 12.187 x - 0.177 X^2

e.

value of coefficientof determination is 0.945

the value of F test statistics is 25.68

Now P-value = 0.013

using the p-value we give the conclusion about hypothesis here p-value is less thean 0.05 therefore we fail accept H0 (i.e. reject H0) at alpha = 0.05

f. now we have to predict the value of y when x = 25

therefore x^2 = 625

therefore we use regresion equation is

y = -168.885 + 12.187 x - 0.177 X^2

y = -168.885 + ( 12.187 * 25 ) - ( 0.177 * 625 )

y = 24.94

Thank You..!!

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