# [R] Plotting Fitted vs Observed Values in Logistic Regression Model

Ben Bolker bbo|ker @end|ng |rom gm@||@com
Tue Aug 1 16:06:57 CEST 2023

```logistic_regmod2 <- glm(formula = ratio~x, family = binomial(logit), data =
random_mod12_data2, weights =n)

plot(ratio ~ x, data = random_mod12_data2)

pframe <- data.frame(x = sort(random_mod12_data2\$x))
pframe\$ratio <- predict(logistic_regmod2, newdata = pframe, type =
"response")
with(pframe, lines(x, ratio))

On 2023-08-01 9:57 a.m., Paul Bernal wrote:
> Dear friends,
>
> I hope  this email finds you all well. This is the dataset I am working
> with:
> dput(random_mod12_data2)
> structure(list(Index = c(1L, 5L, 11L, 3L, 2L, 8L, 9L, 4L), x = c(5,
> 13, 25, 9, 7, 19, 21, 11), n = c(500, 500, 500, 500, 500, 500,
> 500, 500), r = c(100, 211, 391, 147, 122, 310, 343, 176), ratio = c(0.2,
> 0.422, 0.782, 0.294, 0.244, 0.62, 0.686, 0.352)), row.names = c(NA,
> -8L), class = "data.frame")
>
> A brief description of the dataset:
> Index: is just a column that shows the ID of each observation (row)
> x: is a column which gives information on the discount rate of the coupon
> n: is the sample or number of observations
> r: is the count of redeemed coupons
> ratio: is just the ratio of redeemed coupons to n (total number of
> observations)
>
> #Fitting a logistic regression model to response variable y for problem 13.4
> logistic_regmod2 <- glm(formula = ratio~x, family = binomial(logit), data =
> random_mod12_data2)
>
> I would like to plot the value of r (in the y-axis) vs x (the different
> discount rates) and then superimpose the logistic regression fitted values
> all in the same plot.
>
> How could I accomplish this?
>
> Any help and/or guidance will be greatly appreciated.
>
> Kind regards,
> Paul
>
> 	[[alternative HTML version deleted]]
>
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--
Dr. Benjamin Bolker
Professor, Mathematics & Statistics and Biology, McMaster University
Director, School of Computational Science and Engineering
(Acting) Graduate chair, Mathematics & Statistics
> E-mail is sent at my convenience; I don't expect replies outside of
working hours.

```

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