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At a recent county fair, you observed that at one stand people's weight was forecasted, and were surprised by the accuracy (with

MatroZZZ [7]

Answer:

a)Slope: $\hat \beta_1 =\frac{7625.9}{1248.9}=6.106$

Intercept: $\hat \beta_o = 157.955 -6.106 (69.686)=-267.548$

b) $r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657$

And the determination coeffecient is $r^2 = 0.657^2 =0.432$

Step-by-step explanation:

Data given and definitions

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.

n=110, $\sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8$

$\sum Y_i =17375 , \sum X_i = 7665.5$

Part a

The slope is given by this formula:

$\hat \beta_1 =\frac{\sum (x-\bar x) (y-\bar y)}{\sum (x-\bar x )^2}$

If we replace we got:

$\hat \beta_1 =\frac{7625.9}{1248.9}=6.106$

We can find the intercept with the following formula

$\hat \beta_o = \bar y -\hat \beta_1 \bar x$

We can find the average for x and y like this:

$\bar X=7665.5/110 =69.686, \bar y= 17375/110=157.955$

And replacing we got:

$\hat \beta_o = 157.955 -6.106 (69.686)=-267.548$

Part b

In order to calculate the correlation coefficient we can use this formula:

$r=\frac{\sum (x-\bar x)(y-\bar y) }{\sqrt{[\sum (x-\bar x)^2][\sum(y-\bar y)^2]}}$

For our case we have this:

n=110, $\sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8$

So we can find the correlation coefficient replacing like this:

$r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657$

And the determination coeffecient is $r^2 = 0.657^2 =0.432$

6 0

3 years ago

What is the slope of (6,0) and (0,8)

Anna007 [38]

Your answer is 0. The slope formula is m = (y2 - y1) / (x2 - x1). So you do 8-0=8. Then you do 0-6=-6 Then you get 8 over -6. Simplified: -one and one third. That is the answer!

8 0

2 years ago

In a survey of milk drinkers,24 out of 40 milk drinkers said they preferred chocolate milk.If 600 milk drinkers are surveyed,how

kolbaska11 [484]

24/40 = 360/600
360 will prefer chocolate milk.

5 0

3 years ago

Read 2 more answers

Helppppppppppppppppppp

bija089 [108]

Answer:

To get the area of a parallelogram

Step-by-step explanation:

A=bh is the formula for an area so option D is definitely wrong.

The formula for the area of a triangle is $\frac{1}{2} *b*h$ .

The formula for the area of a circle is πr²

The formula for the area of a parallelogram is A=bh

A=bh is the formula for the area of a parallelogram.

8 0

3 years ago

Christina wants to buy some miniature goldfish. She reads that a 9-gallon aquarium is the

Ronch [10]

Based on the image attached of the graph, the points that show equivalent ratios that would also be on the graph are option A and D which are: (6,18) (1,3).

<h3>What is the graph about?</h3>

Note that: $\frac{x}{y}$

= $\frac{3}{9}$

= 1/3

So when you use 1/3 to compare all the options given, you will see that only option A and D is equal to the value given.

So if a person can write that we got 1 fish and we needs 3 gallons and when a person make a point on the line, it will be (1,3).

The other equivalent fraction is known to be 6/18. When a person multiply the numerator and denominator by 2, the value that will be obtained is:

$\frac{3 x 2 }{9 x 2}$ = 6/18.

So therefore, Based on the image attached of the graph, the points that show equivalent ratios that would also be on the graph are option A and D which are: (6,18) (1,3).

See full question below

Christina wants to buy some miniature goldfish. She reads that a 9-gallon aquarium is the right size for 3 miniature goldfish. The graph represents this relationship.

Which points show equivalent ratios that would also be on the graph? Select all that apply.

A. (6,18)

B. (6,12)

C. (4,10)

D. (1,3)

Learn more about equivalent ratios from

brainly.com/question/2328454

#SPJ1

4 0

2 years ago

Read 2 more answers

Help with this page pls, For 20 points and brainiest