Question

5. Consider the following set of dependent and independent variables.

y   x1   x2
10   1   17
11   5   9
14   5   13
14   8   10
21   6   3
24   10   8
26   16   7
33   20   3

a. Using​ technology, construct a regression model using both independent variables. y=___+___x1+___x2 ​(Round to four decimal places as needed.)

b. Test the significance of each independent variable using a=0.05 Test the significance of x1, Identify the null and alternative hypothesis

c. Calculate the appropriate test statistic. ​(Round to two decimal places as​ needed.)

d. Determine the appropriate critical​ value(s) for a=0.05. ​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)

e. Test the significance of x2. Identify the null and alternative hypotheses.

f. Calculate the appropriate test statistic. ​(Round to two decimal places as​ needed.)

g. Determine the appropriate critical​ value(s) ​(Round to two decimal places as needed.)

h. Interpret the​ p-value for each independent variable. ​(Round to three decimal places as​ needed.)

Answer 1

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