The scatter plot shows the time spent studying, x, and the quiz score, y, for ea

Question

The scatter plot shows the time spent studying, x, and the quiz score, y, for each of 25 students. (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit. (b) Using your equation from part (a), predict the quiz score for a student who spent 50 minutes studying. Note that you can use the graphing tools to help you approximate the line. (a) Write an approximate equation of the line of best fit. (b) Using your equation from part (a), predict the quiz score for a student who spent 50 minutes studying.

Explanation / Answer

(a) The equation of the line of best fit to the given scatter plot is of the form:

       y = m x + c

where, m is the slope of the straight line obtained and c is the intercept.

(b) As per the given equation, provide approximate intercept values 'c' to the equation to have a best fit and you will obtain 'm' for the trendline.

Now, substitute 50 in x and you will get y which is the quiz score for the student who spent 50 mins studying.

[N.B.: since the entire dataset for the 25 students is not given, it is not possible to find out the more appropriate results]

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