A data set is given below.(a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y(b) Given that x =3.5000, s, = 2.2583, y = 4.4667, s, = 1.7682, and r= -0.9416, determine the least-squares regression line.(c) Graph the least-squares regression line on the scatter diagram drawn in part (a).6345.4 68 5.6 4.0 2.3 2.71y(a) Choose the correct graph below.O AOc.QThere appears to beV relationship(b) y=+ O(Round to three decimal places as needed.)(c) Choose the correct graph below.O AOB.OC.OD.

Scatter Plot: Scatter plot is the graphical representation of the relationship between two variables of a data-set. It represents data points on a Cartesian system or a two-dimensional plane. The independent variable is plotted along the X-axis, while the dependent variable is plotted along the Y-axis. Regression Equation: When we want to predict the value of one variable, say y, from the given value of another variable, say x, we use Regression Equations of y on x given by, where 'a' gives the y-intercept of the line and 'b' is the slope. The coefficient b is the amount by which the predicted value of y changes of a unit change in the value of x. b is called the regression coefficient.We draw the scatterplot of the given data using MS-Excel. Below are the steps: Step 1: Copy the given data into an excel spreadsheet. Step 2: Select the entire data. Go to Insert > in Charts area, click Insert Scatter (X, Y) or Bubble Chart > click on the first option. This will do the scatterplot of the data into the excel spreadsheet. Answer: The correct answer is: Option B. It looks like a negative relationship between x and y i.e. if the value of x increases, the value of y decreases and vise-versa. (The drop down options are not visible). The blank will be filled up with negative.The linear regression equation of y on x is given by, y-y¯=byx(x-x¯) where byx is the regression coefficient of y on x and is given by, byx=r.sysx Therefore, y-y¯=byx(x-x¯)⇒y-y¯=rsysx(x-x¯)⇒y-4.4667=(-0.9416)×1.76822.2583(x-3.5)=-0.7373(x-3.5)=-0.7373x+2.5804⇒y=-0.737x+7.047 (rounded to 4 decimal places) Answer: The blanks will be filled up with -0.737 and 7.047.Now, using the scatter diagram in solution (a), we find the regression equation as Answer: The correct answer is: Option B. Therefore, all other options are incorrect.