Respuesta :

DominiqueMc313

Answer:

A) y =  2.91x + 64.61 with x hours after 6:00 am

B) at 2:00pm, temperature is 87.89°

Step-by-step explanation:

(>>Regression Equation y = bx + a )With b- Sum of products/Sum of Square = sq/SSx. a = My- bMx,)

set 6.00 am is an original time, when x = 0

use the unit: hour to get a new table

X time 0, 0.75, 1.5, 2.5, 3, 3.75, 4.5, 5

Y temp 65°, 67", 68° ,72° ,74", 75° ,77° ,78°

a). with temperature y and x hour after 6:00 am,

can get Sum of x = 21 Mx = 2.63

Sum of - 578 My = 72.25

SSx = Sum of (X-Mx)² = 22.25

= sum of (X-Mx)(}-My)= 64.75

So b= sq/SSx =64.75/22.25 = 2.91

a= My- bMx = 72.25 - 291 x 2.63 = 64.61

So regressing equation Y= 2.91x + 64.61

b). at 02:00 pm , means 8 hours after 6:00 am

meaning X-8, )= 2.91×8 + 64.61 = 87.8)

The required equation of regression is y = 2.91x + 64.6 and at 2.00 pm temperature is 87.8°



Given that,
The table shows the recorded temperature on a certain day starting at 6:00 am.

What is the equation?

The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.

Here,
The standard form of the regression equation,
y = bx + a,
where b = sum of product/sum of squares a = My - bMx
Since
b = 2.91 , My = 72.25, Mx = 2.63
a = 72.25 - 2.91 * 2.63
a = 64.6
The required regression equation is,
y = 2.91x + 64.6


B)
For 2.00 PM, x = 8
Now,
y = 2.91 * 8 + 64.6
y = 87.8°

Thus, the required equation of regression is y = 2.91x + 64.6 and at 2.00 pm temperature is 87.8°

Learn more about the equation here:

brainly.com/question/10413253

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