6. Write an equation for the trend line on the scatter plot. What is a reasonabl

Question

6. Write an equation for the trend line on the scatter plot. What is a reasonable interpretation for the slope in this context? 90 80 70 60 50 30 10 -10 a, y =-r + 80; The number of students decreases by 1 student per year. b. y =-10x + 80; The number of students decreases by 1 student per year. c. y =-10x + 80; The number of students decreases by 10 students per year. d, y =-r + 80: The number of students decreases by 10 students per year. 7. A lawn specialist measured the average temperature during different growing periods and the amount that the grass grew during each period. The scatter plot shows the results of his study. Use the data to predict the growth that would occur if the temperature were 55°F. 18 16 14 12 10 50 60 70 80 90 c. 10 centimeters d. 17.5 centimeters Average temperature (F a. 14 centimeters b. 5.6 centimeters

Explanation / Answer

Answer below, in detail, please write back in case you have doubts:

6. Lets just take out the slope, that will give us the equation.

y-40 = m(x-4)
Slope, m = (y2-y1)/x2-x1 = (40-30)/4-5 = -10
So, y-40 = -10(x-4)
y-40 = -10x +40
y = -10x+80

So, C is correct

7. Draw a best fit line. A stright line will pass almost pass thorugh the line
The rough line equation is
y-y1 = m(x-x1)
Slope = m =(7-13)/(80-60) = -6/20 = -0.3
y-7 = -.3(x-80)
y-7 = -.3x +24
At, x-55, y-7 = -.3*55+24
y = 14.5 or approx 14

So, A. 14 cm is CORRECT

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