We have a data in form of Hours of Baby Sitting and Amount of Pay. Since the Amount of pay depends upon the Hours of Baby Sitting. Thus, we take y = Amount of Pay, while x = Hours of Baby Sitting. So, the data becomes:

x (Hours) = 12 13 16 17 20

y ($) = 54 56 65 64 100

The statistical data calculated is:

∑x = 78, ∑x² = 1258, ∑y = 339, ∑xy = 5504, n = no. of data points = 5

Now, we use linear regression model to fit a straight line to this data.

y = a + bx --------- eqn (1)

where,

b = [ n∑xy - ∑x.∑y]/[n∑x² -(∑x)²]

b = [ (5)(5504) - (78)(339)]/[(5)(1258) - (78)²]

b = 5.23

and,

a = (∑xy - b∑x²)/∑x

a = [5504 - (5.23)(1258)]/78

a = -13.83

Therefore, eqn (1) becomes:

y = -13.83 + 5.23x

The graph plot of this straight line fit is provided in the attachments.

Now, we derivate the equation with respect to x, to get the average rate of pay:

Average Rate of Pay = dy/dx = d/dx(-13.83 + 5.23x)

Average Rate of Pay = $ 5.23 /hr

8 0

3 years ago

Scores on an English test are normally distributed with a mean of 30.6 and a standard deviation of 6. Find the score that separa

Travka [436]

Answer:

The score that separates the top 59% from the bottom 41% is 31.68

Step-by-step explanation:

3 0

3 years ago

Asap please help easy

loris [4]

Answer:

C) 32

Step-by-step explanation:

$4^{\frac{5}{2} = \sqrt{4^{5}} = \sqrt{4*4*4*4*4} = 4*4\sqrt{4} = 4*4*2=32$

3 0

3 years ago

As Claudia walks away from a 264-cm lamppost, the tip of her shadow moves twice as fast as she does. What is Claudia’s height?

34kurt

132-cm is her heigth. I figured this out by dividing 264 by 2 and I got 132-cm

8 0

3 years ago