A teacher is assessing the correlation between the number of hours spent studying and the average score on a science test. The table shows the data: Number of hours spent studying
(x) 0 0.5 1 1.5 2 2.5 3 3.5 4
Score on science test
(y) 57 62 67 72 77 82 87 92 97

Part A: Is there any correlation between the number of hours students spent studying and the score on the science test? Justify your answer. (4 points)

Part B: Write a function that best fits the data. (3 points)

Part C: What does the slope and y-intercept of the plot indicate? (3 points)

From the table we see there is a relation between x and y values

Every step change of x = 0.5, every step change of y = 2

This relation is linear. The formula for linear function is:

y = mx + b

Using to pairs of points to get the slope and y-intercept

(0, 60) and (1, 64)

Calculating the slope:

m = (64 - 60)/(1 - 0) = 4/1 = 4

y - intercept is 60 as per point (0, 60)

So the function is

y = 4x + 60

Part A

Yes. Described above

Part B

y = 4x + 60

Part C

Slope is the steepness of the line.

y -intercept is the lowest score with no time spent studying

HOPE I HELPED ! Have a great day :)

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

step-by-step explanation: the answer for wha if rt is 10 centimeters long, and wha is st? it’s 6