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Questions 21 and 22 Question 21(4 points) Based on the above model, what is the estimated purchase probability for a 55-year-old customer who is subscribed

Questions 21 and 22

Question 21(4 points)

Based on the above model, what is the estimated purchase probability for a 55-year-old customer who is subscribed to the supermarket chain's health/wellness e-newsletter? (Select the closest answer.)

Question 21 options:

6.21%

18.65%

29.92%

96.12%

Question 22(4 points)

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Based on the above model, which of the following most accurately describes the relationship between a customer's newsletter subscription status and the likelihood of purchasing organic products?

Question 22 options:

Subscribing to the newsletter decreases the estimated purchase probability by 1.38%

Subscribing to the newsletter increases the estimated purchase probability by 1.38%

Subscribing to the newsletter decreases the estimated odds ratio by 1.38

Subscribing to the newsletter increases the estimated log odds ratio (i.e., the natural logarithm of the odds ratio) by 1.38

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> model summary(model) Call: glm(formula = Purchase ~ Age + Newsletter, family = "binomial", data = Supermarket) Deviance Residuals: Min 1Q Median 3Q Max -1.2903 -0.8386 -0.4961 0.8382 2.2382 Coefficients: Estimate Std. Error 2 value Pr(>|z|) (Intercept) 1.91729 1.1987? 1.599 0.1097 Age 0.08673 0.02869 3.023 0.0025 ** Newsletter 1.37989 0.54304 2.541 0.0111 * Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 (Dispersion parameter for binomial family taken to be 1) Null deviance: 116.65 on 99 degrees of freedom Residual deviance: 100.01 on 9? degrees of freedom AIC: 106.01 Number of Fisher Scoring iterations: S

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