Answered: 6. Determine the equation, which will… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 76E

See similar textbooks

Related questions

Question

Use method of least squares

6. Determine the equation, which will represent the best line for the following set of
data and solve for the unknown variables as listed below the table.
Method of Least Squares
Sample
1
y
4.6
XX
ху
2
1.0
7.1
1
7.1
3
2.0
9.5
4
19.0
4
3.0
11.5
9.
34.5
4.0
13.7
16
54.8
79.5
111.6
6
5.0
15.9
25
7
6.0
18.6
36
8
7.0
20.9
49
146.3
9.
8.0
23.5
64
188.0
228.6
10
9.0
25.4
81

Expert Solution

Step by step

Solved in 2 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

Select the equation of the least squares line for the data: (51.00, 1.0), (48.75, 2.5), (52.50, .5), (46.50, 5.0), (45.00, 4.5), (41.25, 6.5), (43.50, 5.0). a) ŷ = -28.956 − 0.54067x b) ŷ = 28.956 − 0.59474x c) ŷ = 0.54067x − 28.956 d) ŷ = 31.852 − 0.59474x e) ŷ = 28.956 − 0.54067x f) None of the above
Using the guide of the textbook and your RQ, determine the equation of the least-square line for the following data: 1 6 3. Select the correct answer in the slope-intercept form. O y=-x+10.5 O y=-2x+11 O y=x O y=x+10 O x+y=11
The least squares equation, y= 18.9476+1.1842x. If y= 66.3156, what is the value of x? *
find the equations of two least‑squares lines for predicting 2003 return from 2002 return, one for all 2323 funds and one omitting the Fidelity Gold Fund. Add both lines to your scatterplot.
In the least-squares line ŷ = 5 – 8x, what is the value of the slope? When x changes by 1 unit, by how much does ŷ change? When x increases by 1 unit, ŷ decreases by -8 units. When x increases by 1 unit, ŷ increases by 8 units. When x decreases by 1 unit, ŷ decreases by 8 units. When x increases by 1 unit, ŷ decreases by 8 units. In the least-squares line ŷ = 5 + 6x, what is the marginal change in ŷ for each unit change in x?
Q3\Create the FDD table for the given data set. Use it to interpolate of consumption for year(1955?.A\For a linear interpolation use the points x=202.7 and x=322.9.B\For a quadratic interpolation use the points x=202.7 , x=322.9 and x=411.2
In a controlled experiment, the height Y in feet of a tree and the amount of water x in ounces received are measured. Find the least squares linear equation relating Y to x if we observe the following data for n=8 trees Σ; α; = 192, Σ; yi = 258 – Σ; 12; = 5280, Σ; wiyi = 6864 ~ = 8. 25 + x Οğ – 40. 5 + 9.06 Υ - 1. 29 + 2. 29x Υ = 8. 40 + 1.32
If least-square line for X and Y is given as y = 0.17x-5.4, estimate the Y value when X=0.7. Select one: 0.17 -5.4 -5.281 -3.7
for a sample of 5 students, the amount of time in hourse each studied for an exam and the score on the exam were recorded. in the sample the least amount of time studied was one hour and the greatest amount of time studdied was six hours. the equation of the least squares lline is y=65+4x. if a student studied 4.75 hours for the exam what score does the least square line predict the student achieved
2. (a) Find the line of best fit for the data points (-1,-4), (0, -1), (1, 2) and (3,8) and the least square error.
Suppose that you have the following points (1,10), (3,8) (5,7) ( 7,6) and ( 4.4). Write the equation of the least squares line that best fits the data. Find r and r2 for the data given
The ife expectancy for females in a certain country born during 1980 - 1985 was approximately 74.2 years. This grew to 75 years during 1985- 1990 and to 75.2 years during 1990 - 1995. Construct a model for this data by finding a quadratic equation whose graph passes through the points (0,74.2). (5,75), and (10,75.2). Use this model to estimate the Iife expectancy for females bom between 1995 and 2000 and for those bom between 2000 and 2005. Letx be the number af years sine 1980 and y be the ile expectancy for a person bom between (1980 + x)and (1980 +x+5). Find a quadratc equaton whose graph passes trough the points (0,74.2), 6,75), and (10,75.2). y-0 (Type an expression using xas the variable. Use integers or decimals for any numbers in the expression. Do not factor.) According to the model, the fe expectancy of a female bom between 1995 and 2000 in this country is years. (Round to the nearest tenth as needed.) According to the model, the Ife expectancy of a female bom between 2000…

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS