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The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x. Donna drew the line of best fit on the graph. A graph titled Plant Height shows Number of Weeks on x axis and Height of Plant in cm on y axis. The scales on both x and y axes are shown from 0 to 5 at increments of 5. The graph shows dots at the ordered pairs 0, 1 and 0.5, 1.5 and 1, 2 and 1.5, 2.5 and 2, 2.8 and 2.5, 3 and 3, 3.4 and 3.5, 3.5 and 4, 4 and 4.5,4.5 and 5, 5. A straight line joins the ordered pairs 0, 1 and 5, 5 What would most likely be the approximate height of the plant after 8 weeks? 11.0 centimeters 9.25 centimeters 8.8 centimeters 7.4 centimeters

The graph shows the heights y in centimeters of a plant after a certain number of weeks x Donna drew the line of best fit on the graph A graph titled Plant Heig class=

Respuesta :

mathmate

Answer:

Most likely height after 8 weeks

y(8) =  7.4 cm

Step-by-step explanation:

The regression line can be represented by

y = (4/5)x + 1  for x (#weeks) between 0 and 5.

Eight weeks exceeds the experimental range, so the best possible guess is to apply the regression line using x=8

Most probable height after 8 weeks

y(8) =  (4/5)*(8)+1 = 7.4 cm

5.2 cm height of plant after 8 weeks.

What is equation of line?

The equation of a line can be formed with the help of the slope of the line and a point on the line. Let us understand more about the slope of the line and the needed point on the line, to better understand the formation of the equation of a line. The slope of the line is the inclination of the line with the positive x-axis and is expressed as a numeric integer, fraction, or the tangent of the angle it makes with the positive x-axis. The point refers to a point in the coordinate system with the x coordinate and the y coordinate.(The equation of the line is  y = mx + b)

According to the question,

The equation of the line is:

y = mx + b

The slope is 3/5. The y-intercept is given 1.

y = 3/5x + 1

Put x as 7, to find where point y lies.

y = 3/5(7) + 1

y = 21/5 + 1

y = 4.2 +1

y = 5.2 cm

hence, 5.2 cm height of plant after 8 weeks.

To learn more about equation of line from here

https://brainly.com/question/653909

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