A student is assessing the correlation between the average number of hours of internet browsing and average score on a math test. The table below shows the data:
Number of hours of internet browsing
(x) 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
Score on math test
(y) 95 94 93 92 91 90 89 88 87 86
Part A: Is there any correlation between the average number of hours of internet browsing and the average score on the math test? Justify your answer. (2 points)
Part B: Find the slope from the table above. What does the slope tell you about the situation? Explain in the context of the problem. (4 points)
Part C: Find the y-intercept from the table above. What does the y-intercept tell you about the situation? Explain in the context of the problem. (4 points)​
(10 points)

A) yes, there is a clear correlation: "The more hours the Internet browsing, the lower the score in the math test."

B)  y = -2 x + 95

C) slope is: number of units of test score that go down for every browsing hour

y-intercept is: the maximum test score reported

Step-by-step explanation:

Part A)

There is clearly a correlation between the number of hours of Internet browsing and the scores on a math test. The more hours the Internet browsing, the lower the score in the math test. If we plot the data in pairs (x, y) we observe a clear tendency with the shape of a line (representing the scores) going down as the number of hours of Internet browsing increases. (See attached image)

Part B)

We can run a regression analysis on these points, or simple observe that for every half hour increase of browsing time, the scores go down in one unit.

The equation for this line of best fit is given by:

y = - 2 x + 95

being "x" the number of hours of Internet browsing, and "Y" the math test scores.

the slope "-2" is the number of units of test score that go down for every browsing hour.

The y=intercept is the maximum test score (95) reported

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

The answer is in the image 

The solution is in the following image

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

The answer is in the image 

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

The answer is in the image 

The solution is given in the image below