Question

Need help with this please.

A publisher is studying the effectiveness of advertising to sell a woman's magazine. She wishes to investigate the relationship between the number of magazines sold (10,000's), the "reach" (proportion of the population who see at least one advertisement for the magazine), and the average income of the target market ($1,000's). The publisher suspects people at certain income levels might be more susceptible to this advertising campaign than others. Preliminary studies show there is no evidence of a quadratic relationship between sales and either of the other two variables. Use the output below to answer the questions. Predictor Coef StDev T Constant 3.10 0.69 4.50 Reach 10341.00 1456.50 7.10 Income 0.87 0.31 2.81 Reach*Income 3.26 1.71 1.90 ANOVA table Source df SS MS Model 3 3654.2 1218.1 Error 11 780.5 ??? Total ??? 4434.7

Answer 1

from the given information * we want to test is no interaction between R each Ho There & In Come interaction b/w R each & H: There is In Come T=1.90 The statistics, DF-n-2 = 15-2-13 P-value CPITI> 1.90) using t- table P-value = 0.0798 Here p-value >< -0.05, we fail to Reject Ho one to may concluded that, at 0.05, there is interaction blw the reach & income. no for B 951. * The Contidance interval ( Bit te n.2 SECR)) (3.16 † to.025, 1360.69)

A total of n =15 3) (3.10 + (216040.69)) {til, lising t-tasve } -) (3-10 + 1.4907) (1.61,4.5a) * The 951 contidance interval tro Bo CR & t24.nl SECÂ) -> (10341 + (2.1604) C1456.50) (10341 1 3 146.62) >) (7194.4, 13487.6) 780.5 = 70.96 square of expor hean * 6

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