name ______________ period ______________\ngraphing practice\nstudy time (hours) 4 3.5 5 2 3 6.5 0.5 3.5 4.5…

name ______________ period ______________\ngraphing practice\nstudy time (hours) 4 3.5 5 2 3 6.5 0.5 3.5 4.5 5 1 1.5 3 5.5\nmath grade (percent) 82 81 90 74 77 97 51 78 86 88 62 75 70 90\nanswer the following questions and then create a graph using the data below.\n1) what is the independent variable (the one that you can change)? ______________\n2) what is the dependent variable (the one that depends on the independent variable)? ______________\n3) now create your graph. make sure to label your axes, include units, choose an appropriate scale, clearly mark all data points and create your best fit line.\n4) calculate the value of the slope: remember, slope = rise ÷ run\n5) what kind of correlation is there? ______________\n6) are there any outliers? ______________\n7) explain the conclusion that you can reach based on this graph.

name ______________ period ______________\ngraphing practice\nstudy time (hours) 4 3.5 5 2 3 6.5 0.5 3.5 4.5 5 1 1.5 3 5.5\nmath grade (percent) 82 81 90 74 77 97 51 78 86 88 62 75 70 90\nanswer the following questions and then create a graph using the data below.\n1) what is the independent variable (the one that you can change)? ______________\n2) what is the dependent variable (the one that depends on the independent variable)? ______________\n3) now create your graph. make sure to label your axes, include units, choose an appropriate scale, clearly mark all data points and create your best fit line.\n4) calculate the value of the slope: remember, slope = rise ÷ run\n5) what kind of correlation is there? ______________\n6) are there any outliers? ______________\n7) explain the conclusion that you can reach based on this graph.

Answer

Explanation:

Step1: Identify independent variable

The variable that can be changed is study - time. So the independent variable is Study Time (hours).

Step2: Identify dependent variable

The variable that depends on the independent variable is the math grade. So the dependent variable is Math Grade (percent).

Step3: Calculate slope (using two - point formula)

Let's take two points ((x_1,y_1)=(2,74)) and ((x_2,y_2)=(5,90)). The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Then (m=\frac{90 - 74}{5 - 2}=\frac{16}{3}\approx5.33).

Step4: Determine correlation

As study time increases, math grade generally increases. So there is a positive correlation.

Step5: Check for outliers

By visual inspection (after graphing), there are no data points that are far from the general pattern. So there are no outliers.

Step6: Conclusion

Based on the graph, as the study time increases, the math grade tends to increase, indicating a positive relationship between study time and math grade.

Answer:

  1. Study Time (hours)
  2. Math Grade (percent)
  3. (Graphing should be done on paper with x - axis labeled 'Study Time (hours)' and y - axis labeled 'Math Grade (percent)', appropriate scale chosen, data points marked and best - fit line drawn)
  4. Approximately 5.33
  5. Positive correlation
  6. No
  7. As study time increases, math grade tends to increase, indicating a positive relationship between study time and math grade.