a company advertises on a websites. a worker tracked the number of visits to the website and the number of clicks on the advertisement. the table shows the data for several days. a linear function can be used to model the data.
WEBSITE ADVERTISEMENT
number of visit number of clicks
to website, x on advertisement, y
153 14
629 38
471 30
914 53
307 21
1,045 60
510 32
1,106 63
based on the table, what is the best prediction of the number of clicks on the advertisement if 1,500 people visit the websites
A ) 77
B ) 137
C ) 83
D )105
To determine the best prediction of the number of clicks on the advertisement if 1,500 people visit the website, we need to use the linear function that models the data.
First, let's find the slope of the line. We can use the formula:
slope (m) = (change in y) / (change in x)
Using the data from the table, the change in y is 63 - 14 = 49, and the change in x is 1106 - 153 = 953.
Therefore, the slope (m) = 49 / 953 = 0.0514.
Next, we can use the point-slope form of a linear equation to find the y-intercept (b). We can use the point (153, 14) as one of the points on the line.
Using the formula:
y - y1 = m(x - x1)
y - 14 = 0.0514(x - 153)
y - 14 = 0.0514x - 7.8802
y = 0.0514x + 6.1198
Now, we can substitute x = 1500 into the equation to find the predicted number of clicks (y).
y = 0.0514 * 1500 + 6.1198
y = 77.71
Rounded to the nearest whole number, the best prediction of the number of clicks on the advertisement if 1,500 people visit the website is 78.
Therefore, the answer is not listed among the given options.