This table contains data on the number of people visiting a historical landmark over a period of one week.. . Day Number of. Visitors. 1 120. 2 124. 3 130. 4 131. 5 135. 6 132. 7 135. . Sketch a scatter plot and draw an estimated regression line. Which of these values comes closest to the slope of your regression line?. . 0.6. . 1.0. . 1.6. . 2.4. . 3.2
Answer:
\(\boxed{\boxed{\text{slope}=2.4}}\)
Step-by-step explanation:
A scatter plot is a two-dimensional data visualization that uses dots to represent the values obtained for two different variables one plotted along the x-axis and the other plotted along the y-axis.
A regression line is a straight line that describes how a response variable y changes as an variable x changes. It is the relation between two variables x and y.
Here,
x = day of a week
y = number of visitors
The given data points are \((1,120),(2,124),(3,130),(4,131),(5,135),(6,132),(7,135)\)
Plotting the scatter plot and regression line in Excel, the following is generated which is attached further below.
The regression line is,
\(y = 2.357x + 120.1\)
Comparing it with the general slope-intercept form \(y=mx+c\),
slope = \(2.357\approx 2.4\)