Statistics Question. Use the Desmos graphing calculator to find the least-squares regression line for the dataset in the table:

Given:

The table of values.

To find:

The least-squares regression line for the data set in the table by using the desmos graphing calculator.

Solution:

The general form of least-squares regression line is:

[tex]\hat{y}=mx+b[/tex]           ...(i)

Where, m is the slope and b is the y-intercept.

By using the desmos graphing calculator, we get

[tex]m\approx 2.55,b\approx -6.435[/tex]

Substitute these values in (i).

[tex]\hat{y}=(2.55)x+(-6.435)[/tex]

[tex]\hat{y}=2.55x-6.435[/tex]

Therefore, the correct option is A.

The graph of regression line is attached below.

The equation of regression line is [tex]y=2.55x-6.435[/tex]

A graphing calculator is a calculator device that has the ability to display plotted graphs for complex equations.

First we have to enter the given table in graphing calculator,

After entering the data given into table,

We get,   m= 2.55  and b= -6.435

So that, the equation of regression line is [tex]y=2.55x-6.435[/tex]

Learn more about the regression line here;

https://brainly.com/question/26059078

Part A
Monica estimates the recipe makes about 5 cups of fruit salad,
Which explanation describes whether Monica's estimate is reasonable?
Not reasonable. Four fractions cannot equal more than 4 cups.
Not reasonable. The whole numbers add up to 3 so the total sum
cannot be 5 cups
Reasonable. The grapes and apples is about 2 cups and pears and
oranges is exactly 3 cups.
Reasonable. The pears and apples is about 3 cups and the grapes
and oranges is exactly 2 cups.
PLAY
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Part B
What is the exact amount of fruit salad in cups?
cups
o
Enter your answer as a fraction or a mixed number.
What is the exact amount of fruit salad is in cups?

Marking brainliest!!

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