A math teacher asked his students to keep track of the number of hours they spen

Question

A math teacher asked his students to keep track of the number of hours they spent doing homework for a particular unit of a math course. After the unit exam, the grade obtained by each student was recorded next to the amount of time that student spent doing homework. The results are displayed 4. in the table below. Study Exam (a) Determine the equation of the line of best fit for this data. Round all Time Score coefficients to 4 decimal places. (See the next page for a reference.) 94 85 18 13 14 17 12 15 (b) Determine the value of r. 91 61 73 84 90 Based on this equation, predict the exam score if a student spends 19 hours doing homework for this unit. Show work. (c) 16 16 20 (d) Explain the meaning of the slope in this equation. (e) Explain the meaning of the y intercept in this equation

Explanation / Answer

Answer.

a,b

The line of best fit is

y=2.09 x + 51.15

where x= hours spent and y = exam score.

Here, r=0.74.

c. Now, y=2.09x+51.15

For x=19,

y = 90.86.

d. The slope of this equation represents correlation between exam score and hours.

e. y--intercept is the score obtained when student studies for zero hours which is 51.15.

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