equation f(x)=ax+b‚ where a is the slope and b is the y-intercept. Linear functions form a straight line when graphed and maintain a constant slope. It can be an increasing or decreasing function. For example‚ a lemonade stand sells a cup of lemonade for twenty-five cents. Graphed‚ x would be the cups sold‚ and y would be income. If the people running the stand start with no money‚ then the y-intercept will be zero. Because each cup cost twenty-five cents‚ the slope is twenty-five. The situation can
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Chapter 3 Relationships Between Quantitative Variables Copyright ©2011 Brooks/Cole‚ Cengage Learning 1 Principle Idea: The description and confirmation of relationships between variables are very important in research. Copyright ©2011 Brooks/Cole‚ Cengage Learning 2 Three Tools we will use … • Scatterplot‚ a two-dimensional graph of data values • Correlation‚ a statistic that measures the strength and direction of a linear relationship between two quantitative variables
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Analyzing and Interpreting Data Paper QNT/351 May 13‚ 2013 Mr. James Malachowski Analyzing and Interpreting Data Paper The culmination of a research study includes being able to analyze and interpret the data that has been collected. This paper will provide the null and alternative hypothesis‚ explain the hypothesis testing procedure used‚ describe the results of that test‚ and explain how those results will answer the team’s previously stated research question. Null and Alternative Hypotheses
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| | | 169547 | July | | | 155738 | August | | | 122305 | September | | | 126511 | October | | | 241150 | November | | | 263930 | December | | | 330708 | 3. Graph the Natural gas consumption vs heating degree days (Y vs. X). Submit this graph along with the completed worksheet. Question 1: What trend does the graph illustrate? (2) 4. After the graph is complete‚ right-click on one of the data points on the graph. Select ‘Add trendline” 5. Choose “Linear”
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the same activity of the unknown solution) and obtaining a set of E-values for these standards -A graph is then plotted from the corresponding E-values vs. the logarithm of the concentration of Cl-. Once all the data points have been plotted‚ the slope of the line is determined (found by using a least squares
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20 1985 0.22 1988 0.25 1991 0.29 1995 0.32 2. Create a model to predict postal rates from the year. 8-31 Copyright 2010 Pearson Education‚ Inc. 3. Do you think a linear model is appropriate here? Explain. 4. Interpret the slope of your model in context. 5. Interpret the intercept of your model in context. 6. What is the correlation between year and postal rate? 7. Explain the meaning of R2 in the context of this problem. 8. Would it be better for customers for a year to have a negative residual
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file MUST be turned in with your homework. Part 1: BY HAND (or I should say by Excel) calculate the slope and the intercept for the regression model for the data (you can double check your results using the minitab output obtained in lab. (2 pts) Summarize your calculations here‚ including the value of the slope and intercept Duration | TimeToNext | yhat | error | slope | y-intercept | 1.7 | 55 | 51.68 | 3.32 | 10.35821 | 33.96676 | 1.7 | 58 | 51.68 | 6.32 | | | 1.7 | 56 | 51.68
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(0‚ 1) do the following: A. Write an equation of the line in point-slope form. (1‚4): y-4=3(x-1) (0‚1): y-1=3(x-0) B. Write the equation in standard form. (1‚4): y-3x=1 (0‚1): y-3x=1 C. Write the equation in slope-intercept form. (1‚4): 4=3(1)+1 or 4=3+1 (0‚1): 1=3(0)+1 or1=0+1 2. Write an equation for the line perpendicular to 5x − 4y = 10 and passes through the point (−1‚ −6) IN SLOPE –INTERCEPT FORM. (6 points) y=-4/5x-6.8 3. Solve the system by graphing. (6 points) Solution: (2
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clear HCl to become white in color. Visible bubble can be observed around the Zinc metal. Results I2 + H2O I2 + Alcohol I2 + Min. Oil I2+Potassium Zn + H2O Zn + HCl Soluble Y Y Slightly Soluble Y Y Insoluble Y Y Trial Number Total (g) of Zn Total Water Displacement(mL) 1 10.01 1.9 2 20.02 3 3 30.03 4.8 4 40.04 6 Focus Questions 1. The appearance and solubility compares well with
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..................................................................................................................................... 2 Core – Scattergraph Draw & Interpret (Step 2) ................................................................................................................ 3 Core – Scattergraph Draw & Interpret (Step 2 Continued) .............................................................................................. 4 Core – Correlation Coefficients (Step 3) ......
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