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hoa [83]
3 years ago
13

The scatter plot below shows one class of Spanish students' time spent studying for their final versus the grade that they earne

d in the final. What grade would you predict for a student who studied for 105 minutes?

Mathematics
2 answers:
IgorC [24]3 years ago
8 0
<span>If you made a line of best fit, then the score would most likely be 95.</span>
sp2606 [1]3 years ago
5 0

Answer:

The predicted grads for a student who studied for 105 minutes is 94.

Step-by-step explanation:

From the given figure the scatter points are (0,55), (0,65), (15,60), (15,65), (15,80),(30,55), (30,70), (30,80), (45,75), (45,80), (45,85), (60,80), (60,90), (60,95), (75,85), (75,90), (90,85), (90,95), (90,100), (120,80), (120, 95), (120,100).

The equation of best fit line is

y=ax+b           ... (1)

where, a is slope and b is initial value.

a=\frac{\sum_{i=1}^nx_iy_i-n\overline{x}\overline{y}}{\sum_{i=1}^nx_i^2-n\overline{x}^2}

b=\overline{y}-b\overline{x}

Using graphing calculator we get,

a\approx 0.2835

b\approx 64.3775

Substitute the value of a and b in equation (1).

y=0.2835x+64.3775

Substitute x=105 in the above equation to find the predicted grads for a student who studied for 105 minutes.

y=0.2835(105)+64.3775

y=94.145

y\approx 94

Therefore the predicted grads for a student who studied for 105 minutes is 94.

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