Please answer i am confused what to plot in y axis and in x axis. I am getting the gradient for this question in negative value.I have done the question many times.

Time is taken for 10 oscillations.
d/cm T1/SEC T2/SEC T3/SEC T D/T

1 25.0 14.68 14.57 14.81
2 30.0 13.90 14.32 14.41
3 35.0 13.28 13.50 13.82
4 40.0 14.00 14.22 14.15
5 45.0 13.37 13.22 13.32
6 50.0 12.97 12.97 12.94

Plot T against y axis and d/T against X axis. Draw the best fit line, find the gradient of the line drawn and it’s y-intercept.

the words are confusing: what does "against" mean. After thinkng on it, I have no idea what your teacher is aiming at you doing. If this was given to you without more explaination, I feel sorry for you.

Thank you.

To determine what to plot on the y-axis and x-axis, we need to look at the variables given in the data. In this case, we have two variables: T (time taken for 10 oscillations) and d/T (distance traveled divided by time).

Based on the instructions given, we need to plot T on the y-axis and d/T on the x-axis. The reason for this choice is likely because they want to investigate the relationship between the time taken for 10 oscillations and the ratio of distance traveled to time.

To plot the data, create a scatterplot with the independent variable (d/T) on the x-axis and the dependent variable (T) on the y-axis. Each data point represents a specific measurement.

After plotting the data points, draw the best fit line that represents the general trend of the data. The best fit line should minimize the distance between the line and the data points.

To find the gradient of the best fit line, calculate the slope of the line. The gradient represents the rate of change of the dependent variable (T) with respect to the independent variable (d/T). In this case, it tells us the change in time taken for 10 oscillations for each unit change in the ratio of distance traveled to time.

To find the y-intercept of the best fit line, identify the point where the line intersects the y-axis. The y-intercept represents the value of the dependent variable (T) when the independent variable (d/T) is zero.

By analyzing the gradient and y-intercept of the best fit line, we can gain insights into the relationship between the time taken for 10 oscillations and the ratio of distance traveled to time.