The MINITAB output shown below is the result of a regression analysis for 30 hom

Question

The MINITAB output shown below is the result of a regression analysis for 30 homes relating y = selling price (in dollars) to x = the size of the house (in ton man square feet). H_0: The variables are dependent (beta notequalto 0). H_a: The variables are independent (beta = 0). H_0: The variables are independent (beta = 0). H_a: The variables are dependent (beta notequalto 0). Using the given data, determine the test statistic t. What is the P-value? Use the P-value and a significance level of 0.05 to form a conclusion. Reject H_0 and conclude that the variables are dependent. Fail to reject H_0 and conclude that the variables could be independent.

Explanation / Answer

(a) The hypotheses are:

Ha: The variables are independent, Ha: The variables are dependent.

The t- statistic is 10.252

The p-value is 0.000

SInce p-value is less than 0.05, we reject the null hypothesis and conclude that the variables are dependent.

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