Given the data set (5, 9), (13, 12), (23, 16), which of the following equations best represents a line of best fit? a) y = 3/4x − 7 b) y = 4/5x + 7 c) y = 2/5x + 7 d) y = 2/3x − 7

Option C -                                        

Step-by-step explanation:

Given : Data set (5, 9), (13, 12), (23, 16).

To find : Which of the following equations best represents a line of best fit?

Solution :

Data (5, 9), (13, 12), (23, 16).

We plot the data points on the graph and get the best fit line.

Using regression calculator,

The function has a linear behavior so the best line which represent the data is given by

Approx

or

and the value of R² i.e. correlation coefficient is given by

which is approximately equal to 1 gives you the best fit line.

From the given options,

gives you the best fit line.

Therefore, Option C is correct.

Refer the attached figure below.

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%

he earned 78.75 in interest.

step-by-step explanation: