Write down the equation of regression model with one dependent and three independent variables.
In a study to determine a person’s yearly income 10 years after high school, it was found that the two biggest predictors are number of math courses taken and number of hours worked per week during a person’s senior year of high school. The multiple regression equation generated from a sample of 20 individuals is:
Let represent the number of mathematics courses taken and represent hours worked.
Explain what 4540 in the equation tell us.
Following are two normal equations obtained in a regression model.
Solve the both equation simultaneously so that you only left with equations that are free from “a”.
Explain the meaning of the notation of partial correlation coefficient r23.1
For multiple regression model the simple correlation coefficients are r12 = 0.492, r13 = 0.927, r23 = 0.758 Find the partial correlation coefficient r31.2
If null hypothesis is Ho : β ≤ β0 then what will be the appropriate alternative hypothesis?
Write down the t-test formula that is used in the hypothesis testing of regression coefficient β.
Suppose you want to test the claim that null hypothesis Ho : α ≤ 0.5. After calculation, you obtained the calculated value of t-test as 2.82 and table (critical) value as 1.86. What will you conclude about the given claim?
Write down the names of steps that are used in hypothesis testing.
A random sample of 19 pairs of observations gives a coefficient of correlation of 0.65. Test the hypothesis, at 5% level of significance, that the correlation coefficient in the population is zero. (Write complete steps, computation and conclusion. Use t-test)
A sample of size 12 yielded r=0.32. Test Ho : ρ = 0. Let α = 0.01
(Write complete steps, computation and conclusion. Use t-test) = = = = = = = = =
Answers for MCQs: 1 (b)
2 (c)
3 (b)
4 (d)
5 (a)