1. Based on data collected over several sessions, a statistically minded trainer of office typists modeled the linzoom in between the number of hours of training a typist receives and the typist's speed (in words per minute) with the equauon

speed = 10.3 +5.4(hour). After some training, one of the typists was told that the speed he attained had a residual of 4.2

words per minute. How should he interpret this?

Choose the correct answer below.

1

A. He cannot interpret his residual without also knowing the correlation.

B. He cannot interpret his residual without also knowing the size of other people's residuals.

C. He types slower than the model predicted, given the amount of time he spent training.

D. He types faster than the model predicted, given the amount of time he spent training.

Statement D is correct.

Step-by-step explanation:

Solution:

Data Given:

Linear Regression Relationship = Speed = 10.3 + 5.4 (hour)

Linear Regression Relationship = y = mx + c

Here,

m = slope = 5.4

c = 10.3 = y - intercept

The correct Answer is D)

Because:

As, the residual value is positive, it means the typist attained faster speed than the model predicted. As we know, residuals is the result of difference between predicted values of the model and data values. On the contrary, if residual would be negative then we would say that typist speed is slower than the model predicted.

Hence, Statement D is correct.

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

they used 313 gallons of paint