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vitfil [10]
3 years ago
15

Before starting their graduate studies, a student wants to rent an apartment near the university. She wants to learn how the dis

tance to the school affects the rent. Statistical software was used to conduct a simple linear regression about the relationship between the rent (in USD) of an apartment and its distance to the university (in miles). The following equation for the regression line was given: RENT = 1200.4326 - 256.2567 DISTANCE Say someone lives 0.43 miles from campus and pays $1,050 a month in rent. What is the resulting residual value? Give your answer to two decimal places. For help on how to input a numeric answer, please see "Instructions for inputting a numeric response."
Mathematics
1 answer:
madreJ [45]3 years ago
5 0

Answer:

The resulting residual value is e=-40.24.

Step-by-step explanation:

The residual value e for a regression model is defined as the difference between the real value y and the predicted value yp:

e=y-y_p

The predicted value for DISTANCE=0.43 miles is:

RENT = 1200.4326 - 256.2567\cdot DISTANCE\\\\RENT(0.43) = 1200.4326 - 256.2567\cdot 0.43\\\\RENT(0.43) = 1200.4326 - 110.1904=1090.2422\\\\

Then, if the real value is $1,050, the residual value is calculated as:

e=y-y_p\\\\e=1050-1090.2422=-40.2422

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Find the sum of the first 20 terms of an arithmetic sequence with an 18th term of 8.1 and a common difference of 0.25.
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The sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5

Given,

18th term of an arithmetic sequence = 8.1

Common difference = d = 0.25.

<h3>What is an arithmetic sequence?</h3>

The sequence in which the difference between the consecutive term is constant.

The nth term is denoted by:

a_n = a + ( n - 1 ) d

The sum of an arithmetic sequence:

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8.1 = a + ( 18 - 1 ) 0.25

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Find the sum of 20 terms.

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Thus the sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5

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