The mileage in miles per gallon of several cars when they were new and when they were 3 years old is listed below. New 27 17 33 28 24 18 22 20 29 3 years 24 15 29 25 22 16 20 18 26 The mean of the sample of new car mileages is x = 23.9 with a sample standard deviation of sy = 5.2, and The mea of the sample of three year old car mileage is ỹ = 21.4 with a sample standard deviation of s, = 4.6. The linear correlation coefficient is r = 0.998, which suggests linear correlation. Find the regression line and use it to predict the mileage a car will have after 3 vears if it gets 26 miles per gallon when it is new

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The table below shows the mileage in miles per gallon of several cars when they were new and when they were 3 years old:

|            | New | 3 years |
|------------|-----|---------|
| **Mileage**| 27  | 24      |
|            | 17  | 15      |
|            | 33  | 29      |
|            | 28  | 25      |
|            | 24  | 22      |
|            | 18  | 16      |
|            | 22  | 20      |
|            | 20  | 18      |
|            | 29  | 26      |

The mean of the sample of new car mileages is \(\bar{x} = 23.9\) with a sample standard deviation of \(s_x = 5.2\). The mean of the sample of three-year-old car mileage is \(\bar{y} = 21.4\) with a sample standard deviation of \(s_y = 4.6\). The linear correlation coefficient is \(r = 0.998\), which suggests a strong linear correlation. 

**Task:** 
Find the regression line and use it to predict the mileage a car will have after 3 years, if it gets 26 miles per gallon when it is new.
Transcribed Image Text:The table below shows the mileage in miles per gallon of several cars when they were new and when they were 3 years old: | | New | 3 years | |------------|-----|---------| | **Mileage**| 27 | 24 | | | 17 | 15 | | | 33 | 29 | | | 28 | 25 | | | 24 | 22 | | | 18 | 16 | | | 22 | 20 | | | 20 | 18 | | | 29 | 26 | The mean of the sample of new car mileages is \(\bar{x} = 23.9\) with a sample standard deviation of \(s_x = 5.2\). The mean of the sample of three-year-old car mileage is \(\bar{y} = 21.4\) with a sample standard deviation of \(s_y = 4.6\). The linear correlation coefficient is \(r = 0.998\), which suggests a strong linear correlation. **Task:** Find the regression line and use it to predict the mileage a car will have after 3 years, if it gets 26 miles per gallon when it is new.
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