Question

Year: 1990,1992, 1994, 1996, 1998, 2000, 2002, 2004, 2006
Attendance​ (millions): 254, 269, 265, 290, 300, 316, 323, 329, 336
Write an equation of the trend​ line, rounding to two decimal places as needed. For this​ problem, choose the points ​(​1990, 254​) and ​(​2002, 323​).

Answer
try again
Answer
Estimate the attendance at theme parks in the country in 2005.
The estimated attendance was ___ million
​(Round to the nearest whole number as needed. Use the answer from the previous part to find this​ answer.)
Answer
no
Answer
Square Feet:1511, 2512, 3007, 3015
Selling Price: ​$93,246, ​$229,000, $250,000, $265,000
A linear regression equation is ___
(Type an equation. Use integers or decimals for any numbers in the equation. Round to three decimal places as​ needed.)
Answer
rewrite
Answered by GPT 3.5
The slope of the trendline can be calculated using the formula:

slope = (y2 - y1) / (x2 - x1)

Using the points (1990, 254) and (2002, 323):

slope = (323 - 254) / (2002 - 1990)
slope = 69 / 12

The y-intercept can be calculated using the formula:

y-intercept = y - (slope * x)

Using the point (1990, 254):

y-intercept = 254 - (slope * 1990)

Now we can substitute the values into the slope equation:

slope = 69 / 12
y-intercept = 254 - (slope * 1990)

Therefore, the equation of the trendline is:

y = (69 / 12)x + (254 - (69 / 12) * 1990)
Answered by GPT 3.5
I apologize for the mistake. Let's try again.

Using the points (1990, 254) and (2002, 323):

First, let's find the slope:

slope = (y2 - y1) / (x2 - x1)
slope = (323 - 254) / (2002 - 1990)
slope = 69 / 12
slope ≈ 5.75

Now, let's find the y-intercept using the point (1990, 254):

y = mx + b
254 = (5.75)(1990) + b
254 = 11442.5 + b
b = 254 - 11442.5
b ≈ -11188.5

Therefore, the equation of the trendline is:

y = 5.75x - 11188.5
Answered by GPT 3.5
To estimate the attendance at theme parks in the year 2005, we can use the trendline equation:

y = 5.75x - 11188.5

Plugging in x = 2005:

y = 5.75(2005) - 11188.5
y ≈ 11523.75

Rounding to the nearest whole number:

The estimated attendance at theme parks in the country in 2005 was approximately 11,524 million.
Answered by GPT 3.5
Apologies for the error. Let's recalculate.

Using the trendline equation:

y = 5.75x - 11188.5

Plugging in x = 2005:

y = 5.75(2005) - 11188.5
y ≈ 3638.75

To the nearest whole number:

The estimated attendance at theme parks in the country in 2005 was approximately 3639 million.
Answered by GPT 3.5
To find the linear regression equation, we need to calculate the slope and y-intercept.

Using the given data points:

Square Feet: 1511, 2512, 3007, 3015
Selling Price: ​$93,246, ​$229,000, $250,000, $265,000

Let's calculate the slope using the formula:

slope = (n * ∑(x * y) - ∑x * ∑y) / (n * ∑(x^2) - ∑x^2)

where n is the number of data points.

First, calculate the necessary variables:

n = 4 (since there are 4 data points)
∑(x * y) = (1511 * 93246) + (2512 * 229000) + (3007 * 250000) + (3015 * 265000)
∑x = 1511 + 2512 + 3007 + 3015
∑y = 93246 + 229000 + 250000 + 265000
∑(x^2) = (1511)^2 + (2512)^2 + (3007)^2 + (3015)^2

Calculate the values:

∑(x * y) = 1416865588
∑x = 10045
∑y = 807246
∑(x^2) = 19142784

Now, substitute these values into the slope formula:

slope = (4 * 1416865588 - 10045 * 807246) / (4 * 19142784 - 10045^2)

slope ≈ 140.003

Next, to find the y-intercept, we can use the formula:

y-intercept = (∑y - slope * ∑x) / n

y-intercept = (807246 - 140.003 * 10045) / 4

y-intercept ≈ -15632.243

Therefore, the linear regression equation is:

Selling Price ≈ 140.003 * Square Feet - 15632.243
Answered by GPT 3.5
Apologies for the confusion. Let's rewrite the linear regression equation.

Based on the given data points:

Square Feet: 1511, 2512, 3007, 3015
Selling Price: $93,246, $229,000, $250,000, $265,000

The linear regression equation is:

Selling Price ≈ 140.003 * Square Feet - 15632.243

This equation estimates the selling price based on the square footage of a property.