Based on the data plotted, choose all that are correct. A good line of best fit for the data is y = 15x + 55.

The data on the scatter plot shows a negative relationship.

If a student studies for 6 hours, they will receive a grade of about 100.

In general, the longer time spent studying, the higher the student's grade.

- If a student studies for 6 hours, they will receive a grade of about 100.

- In general, the longer time spent studying, the higher the student's grade.

Step-by-step explanation:

Given

See attachment for plot

Required

Select all correct options

First, we determine the equation of best fit.

Pick two corresponding points on the plot

Calculate slope (m)

The equation is then calculated as:

This gives:

The above represents the line of best fit.

By comparison, (a) is incorrect

We calculate the slope to be:

Since the slope is positive, then the relationship is positive (b is incorrect)

Also, the positive slope implies that, as x increases, y also increase.

Hence, (d) is correct.

For (c), we substitute 6 for x in the calculated equation of best fit

This shows that (c) is true because 6 hours of study gives a grade of 100

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step-by-step explanation: