Consider the four points (10,10), (20,50), (40,20), and (50,80). the least squares line is modifyingabove y with caret equals 7.0 plus 1.1 xy=7.0+1.1x. explain what "least squares" means, using these data as a specific example.

The y-intercept of the least squares line is 7 and slope of the line is 1.1. It means x and y are positively related.

Step-by-step explanation:

Least squares : It is an approach to find a regression line such that the sum of squares of residual(difference between estimated point on the line and data point) is minimum.

The given points are (10,10), (20,50), (40,20), and (50,80).

The least squares line is

            .... (1)

The general form of least squares line is

            .... (2)

where, a is y-intercept and b is slope of the line.

On comparing (1) and (2) we get

It means the y-intercept of the least squares line is 7 and slope of the line is 1.1.

Slope is positive it means x and y are positively related.

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.