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vaieri [72.5K]
2 years ago
13

An environmental activist wants to look at the relationship between number of incentive actions taken by the government and the

percent share that electric cars make up of overall new vehicle sale in several metropolitan areas. The data show a linear pattern with the summary statistics shown below:
Mathematics
1 answer:
kozerog [31]2 years ago
4 0

Answer:

An environmental activist wants to look at the relationship between number of incentive actions taken by the government and the percent share that electric cars make up of overall new vehicle sale in several metropolitan areas. The data show a linear pattern with the summary statistics shown below: mean standard deviation x = x=x, equals number of incentive actions x ˉ = 12.2 x ˉ =12.2x, with, \bar, on top, equals, 12, point, 2 s x = 5.2 s x =5.2s, start subscript, x, end subscript, equals, 5, point, 2 y = y=y, equals electric vehicle share of new vehicle sales (percent) y ˉ = 1.1 y ˉ =1.1y, with, \bar, on top, equals, 1, point, 1 s y = 1.3 s y =1.3s, start subscript, y, end subscript, equals, 1, point, 3 r = 0.65 r=0.65r, equals, 0, point, 65 Find the equation of the least-squares regression line for predicting the electrical vehicle share of new vehicle sales from the number of incentive actions the government takes. Round your entries to the nearest hundredth.

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horsena [70]

Answer:

0.5<2-√2<0.6

Step-by-step explanation:

The original inequality states that 1.4<√2<1.5

For the second inequality, you can think of 2-√2 as 2+(-√2).

Because of the "properties of inequalities", we know that when a positive inequality is being turned into a negative, the numbers need to swap and become negative. So, the original inequality becomes -1.5<-√2<-1.4. (Notice how the √2 becomes negative, too). This makes sense because -1.5 is less than -1.4.

Using our new inequality, we can solve the problem. Instead of 2+(-√2), we are going to switch "-√2" with both possibilities of -1.5 and -1.6. For -1.5, we would get 2+(-1.5), or 0.5. For -1.4, we would get 2+(-1.4), or 0.6.

Now, we insert the new numbers into the equation _<2-√2<_. The 0.5 would take the original equation's "1.4" place, and 0.6 would take 1.5's. In the end, you'd get 0.5<2-√2<0.6. All possible values of 2-√2 would be between 0.5 and 0.6.

Hope this helped!

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Step-by-step explanation:

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