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Romashka-Z-Leto [24]
3 years ago
5

Time sensitive question. Find the sum of the first 26 terms of an arithmetic series whose first term is 7 and 26th term is 93.

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
7 0

ANSWER

S_{26}=1300

EXPLANATION

The sum of an arithmetic sequence whose first term and last terms are known is calculated using

S_{n}= \frac{n}{2} (a + l)

From the given information, the first term of the series is

a = 7

and the last term of the series is

l = 93

The sum of the first 26 terms is

S_{26}= \frac{26}{2} (7 + 93)

S_{26}= 13 (100)

S_{26}=1300

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This problem uses the teengamb data set in the faraway package. Fit a model with gamble as the response and the other variables
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Answer:

A. 95% confidence interval of gamble amount is (18.78277, 37.70227)

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D. The predicted bet value for a woman with status = 20, income = 1, verbal = 10, which shows a negative result and does not fit with the data, so it is inferred that model (c) does not fit with this information

Step-by-step explanation:

to)

We will see a code with which it can be predicted that an average man with income and verbal score maintains an appropriate 95% CI.

attach (teengamb)

model = lm (bet ~ sex + status + income + verbal)

newdata = data.frame (sex = 0, state = mean (state), income = mean (income), verbal = mean (verbal))

predict (model, new data, interval = "predict")

lwr upr setting

28.24252 -18.51536 75.00039

we can deduce that an average man, with income and verbal score can play 28.24252 times

using the following formula you can obtain the confidence interval for the bet amount of 95%

predict (model, new data, range = "confidence")

lwr upr setting

28.24252 18.78277 37.70227

as a result, the confidence interval of 95% of the bet amount is (18.78277, 37.70227)

b)

Run the following command to predict a man with maximum values ​​for status, income, and verbal score.

newdata1 = data.frame (sex = 0, state = max (state), income = max (income), verbal = max (verbal))

predict (model, new data1, interval = "confidence")

lwr upr setting

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we can deduce that a man with the maximum state, income and verbal punctuation is going to bet 71.30794

The 95% confidence interval of the bet amount is (42.23237, 100.3835)

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(C)

Run the following code for the new model and predict the answer.

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we replace:

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predict (model1, new data2, interval = "confidence")

lwr upr setting

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