Use the given data to complete parts? (a) and? (b) below.
x y 2.1 4 3.8 1.4 3 3.6 4.8 4.9 ?(a) Draw a scatter diagram ofthe data.
Choose the correct answer below.
A. 0 2 4 6 0 2 4 6 x y A scatter diagram has a horizontal x-axislabeled from 0 to 6 in increments of 1 and a vertical y-axislabeled from 0 to 6 in increments of 1. The following 4 approximatepoints are plotted, listed here from left to right: (1.4, 3.8);(3.6, 3); (4, 2.2); (5, 4.8). From left to right, the points haveno visibly apparent upward or downward trend.
B. 0 2 4 6 0 2 4 6 x y A scatter diagram has a horizontal x-axislabeled from 0 to 6 in increments of 1 and a vertical y-axislabeled from 0 to 6 in increments of 1. The following 4 approximatepoints are plotted, listed here from left to right: (2.2, 4); (3,3.6); (3.8, 1.4); (4.8, 5). From left to right, the points have novisibly apparent upward or downward trend.
C. 0 2 4 6 0 2 4 6 x y A scatter diagram has a horizontal x-axislabeled from 0 to 6 in increments of 1 and a vertical y-axislabeled from 0 to 6 in increments of 1. The following 4 approximatepoints are plotted, listed here from left to right: (2.2, 5); (3,1.4); (3.8, 3.6); (4.8, 4). From left to right, the points have novisibly apparent upward or downward trend.
D. 0 2 4 6 0 2 4 6 x y A scatter diagram has a horizontal x-axislabeled from 0 to 6 in increments of 1 and a vertical y-axislabeled from 0 to 6 in increments of 1. The following 4 approximatepoints are plotted, listed here from left to right: (1.4, 3); (3.6,3.8); (4, 4.8); (5, 2.1). From left to right, the points have novisibly apparent upward or downward trend.
Compute the linear correlation coefficient. The linearcorrelation coefficient for the four pieces of data is nothing.?(Round to three decimal places as? needed.)
?(b) Draw a scatter diagram of the data with the additional datapoint left parenthesis 10.3 comma 9.4 right parenthesis.
Choose the correct answer below.
A. 0 4 8 12 0 4 8 12 x y A scatter diagram has a horizontalx-axis labeled from 0 to 12 in increments of 2 and a verticaly-axis labeled from 0 to 12 in increments of 2. The following 4approximate points are plotted, listed here from left to right:(2.2, 4); (3, 3.6); (3.8, 1.4); (4.8, 5). One additional point isplotted significantly above and to the right of the rest,approximately at (10.4, 9.4).
B. 0 4 8 12 0 4 8 12 x y A scatter diagram has a horizontalx-axis labeled from 0 to 12 in increments of 2 and a verticaly-axis labeled from 0 to 12 in increments of 2. The following 4approximate points are plotted, listed here from left to right:(1.4, 3.8); (3.6, 3); (4, 2.2); (5, 4.8). One additional point isplotted significantly above and to the right of the rest,approximately at (9.4, 10.4).
C. 0 4 8 12 0 4 8 12 x y A scatter diagram has a horizontalx-axis labeled from 0 to 12 in increments of 2 and a verticaly-axis labeled from 0 to 12 in increments of 2. The following 4approximate points are plotted, listed here from left to right:(1.4, 4.8); (3.6, 3); (5, 3.8); (9.4, 2.1). One additional point isplotted significantly above the rest, approximately at (4,10.3).
D. 0 4 8 12 0 4 8 12 x y A scatter diagram has a horizontalx-axis labeled from 0 to 12 in increments of 2 and a verticaly-axis labeled from 0 to 12 in increments of 2. The following 4approximate points are plotted, listed here from left to right: (3,3.6); (3.8, 5); (4.8, 1.4); (10.4, 4). One additional point isplotted significantly above and to the left of the rest,approximately at (2.2, 9.4).
Compute the linear correlation coefficient with the additionaldata point. The linear correlation coefficient for the five piecesof data is nothing. ?(Round to three decimal places as? needed.)Comment on the effect the additional data point has on the linearcorrelation coefficient.
A. The additional data point strengthens the appearance of alinear association between the data points.
B. The additional data point does not affect the linearcorrelation coefficient.
C. The additional data point weakens the appearance of a linearassociation between the data points.
Explain why correlations should always be reported with scatterdiagrams.
A. The scatter diagram is needed to see if the correlationcoefficient is being affected by the presence of outliers.
B. The scatter diagram is needed to determine if the correlationis positive or negative.
C. The scatter diagram can be used to distinguish betweenassociation and causation.
Click to select your answer(s).
