Answer:
C. 0.55
Step-by-step explanation:
The scatter plot shows that there is a positive correlation between variable x and variable y. This is because, the x and y variable seem to follow the same trend. That is, as x variable increases, y variable also increases. If a line of best fit is drawn, it would slope upwards, from left to our right.
Correlation coefficient (r) of any given data set plotted on a scatter plot, ranges from -1 to 1. The closer the value of "r" to either -1 or 1, the more clustered the data points are together in a line of best fit in a scatter plot.
Therefore, since the scatter plot given shows a positive relation between the x and y variables, whereby the data points seem to be less clustered and farther from each away from the line if best fit, if drawn, an estimate of "r" would not be closer to the value of 1.
Therefore, from the options given, C. 0.55 is the best estimate for r for the data shown in the scatter plot.
Answer: 19
Step-by-step explanation:
As per the model created by Jack; f(x) determines the area and x represents length so f(3) = 9+9+1
Therefore, f(3) = 19
Answer:
d = 14
Step-by-step explanation:
Answer:
x=130 I believe
Step-by-step explanation:
28+8+14+x=180
50+x=180
x=130
y = 7x - 3
Note the gradient of the tangent is the derivative of y at x = 1
Differentiate using the power rule
(a
) = na
y = 3x³ - x² + 2
= 9x² - 2x
x = 1 : = 9 - 2 = 7 ← gradient of tangent
equation in point- slope form, using m = 7 and (a, b) = (1, 4)
y - 4 = 7(x - 1) ← point-slope form
y - 4 = 7x - 7
y = 7x - 3 ← in slope-intercept form
