with ‘r’. Discussion and justification based on r only is not sufficient. Correlation = 0.96 There appears to be a linear trend between the two variables. As the data points are relatively close to the regression line‚ it can be stated that there is strong positive association between chest and weight. The correlation coefficient of 0.96 (very close to 1) confirms that the linear relationship is very strong and positive. Model obtained‚ equation specified in context and prediction made
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________________________ EMAIL ADDRESS: _________ _______ PHONE: ______________________________ 1. COURSE DESCRIPTION: The essentials of college algebra. Topics include polynomials‚ first degree equations‚ word problems‚ graphing‚ and systems of linear equation‚ factoring‚ exponents‚ quadratic equations‚ matrices‚ and radicals. 2. COURSE OBJECTIVES: Upon completing this course students should have an in depth understanding of data analysis‚ graphing data‚ stating a problem in mathematical format
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like this one: If we want to get an equation that helps us identify the relationship between the Speed and the breaking distance. We can see that the line makes a form of a parabola so we drive it through out calculator to get the following results: We believe that the data is Quadratic because it goes in a parabola: Thus; When: y=ax2 +bx+c a=0.004 b=0.203 c=-6.428 Thus we come up with this equation: Y= (0.004x X2) + 0.203xX -6.428 To make the equation more realistic we can change the X
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–––– Run ∆y y 2 - y1 ––– = ––––––– ∆x x 2 - x1 1- Solve for y to put the equation in slope intercept form. 2- Plot the y-intercept. 3- Using the slope as a fraction‚ rise y and run x to get second point. 4- Graph the line. Ex: 2x+3y=12 -2x -2x ––––––––– 3y=-2x+12 –– –––– 3 3 y= -2/3x+4 m= -2/3 b= 4 Horizontal and Vertical Lines: - A Horizontal Line has the form y=#. (In an equation of a horizontal line‚ there is no x) - The slope of a horizontal line is 0. Picture:
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number p. c. ____________________________________________________________ 13. Solve each equation. a. x + 316 = – 214 b. – 7x + 17 = 164 c. d. e. 5t – (2t + 3) = 21 f. 81(t + 2) = 27(t – 2) g. h. 3 – 4(x – 1) = 5x – 11 i. 2.1x + 45.2 = 3.2 – 8.4x j. 3x – 2(x + 3) = x k. l. m. n. o. p. 14. Solve each word problem using equations. a. Eighty-two increased by some number is -34. Find the number. b. One and two thirds of a
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References: Algebra.com‚ (2013). Retrieved May 5‚ 2013 from http://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.707072.html Algebra in Real Life‚ (2013). Retrieved May 5‚ 2013 from http://www.ehow.com/how_5714133_use-algebra-real-life.html NASA‚ (2013). Retrieved May 5‚ 2013 from http://www.nasa.gov/pdf/514479main_AL_ED_Comm_FINAL
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Cambridge Secondary 1 Mathematics Curriculum Framework Contents Introduction Stage 7 .....................................................................................................1 Welcome to the Cambridge Secondary 1 Mathematics curriculum framework. Stage 8 .....................................................................................................7 Stage 9 ................................................................................................... 14
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Unit Test‚ Part 2: Linear Equations and Systems Answer the questions below. When you have finished‚ submit this assignment to your teacher by the due date for full credit. (10 points) 1. The table gives the population of a town for the years 2000–2009. a. Make a scatter plot of the data‚ draw a line of best fit‚ and then find the equation of the line of best fit. Show and explain your work. b. Describe what the slope of the line of best fit represents. c. Use the equation to predict the population
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the following sets of information write an equation. Assume that each set of information describes a linear relationship. Assume Y is the variable measured on the vertical axis and X is the variable measured on the horizontal axis. Write all equations in slope-intercept form. a. When X = 10‚ Y = 5 and when X = 7‚ Y = 2. Answer: First find the slope of the line: slope = rise/run = (5 – 2)/(10 – 7) = 1. Then‚ write the equation in general form: Y = mX + b and substitute
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one continuous probability distribution. Q.4 (a) Solve the quadratic equation. [pic] by two different methods. (b) Find the solution set for the following inequality [pic] Q.5 (a) The value of personal computer is decreasing linearly over time. Two points indicate its price at two different times: After one year Price= Rs. 45‚000 After two years Price= Rs. 40‚000 i) Determine a linear equation
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