Many regions along the coast in North and South Carolina and Georgia have experi

Question

Many regions along the coast in North and South Carolina and Georgia have experienced rapid population growth over the last 10 years. It is expected that the growth will continue over the next 10 years. This has motivated many of the large grocery store chains building new stores in the region. The Kelley's Super Grocery Stores Inc. chain is no exception. The director of planning for Kelley's Super Grocery Stores wants to study adding more stores in this region. He believes there are two main factors that indicate the amount families spend on groceries. The first is their income and the other is the number of people in the family. The director gathered the following sample information. Food and income are reported in thousands of dollars per year, and the variable size refers to the number of people in the household. (c-1) What is the value of R^2? (Round your answer to 3 decimal places.) R^2 (c-2) State the decision rule for 0.05 significance level. H0: beta 1 = beta 2 = 0; H1: Not all beta?s are 0. Ho is rejected if F > (c-3) Complete the ANOVA (Leave no cells blank - be certain to enter 0 wherever required. Round SS, MS to 3 decimal places and F to 2 decimal places.)

Explanation / Answer

(c-1) R^2= 0.484

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(c-2)Ho is rejected if F>3.443

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(c-3)

ANOVA table Source SS   df   MS F p-value Regression 11.6327 2   5.8164 10.34 .0007 Residual 12.3808 22   0.5628 Total 24.0135 24  

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