What is a scatter plot?

If a scatter plot shows points that are closely clustered together, what can you infer about the correlation between the variables?

Question: 190150 When the weights of newborn babies are graphed, the distribution of weights is symmetric with the majority of weights centered around a single peak. Which of the following describes the shape of this distribution? Bimodal Bell-shaped Skewed right

The data below represents students test scores. Which of the following is the median of the set of data? \( 11,12,18,14,22,17,17,12,25,12,13 \)

Cite as características que um bom diagrama de dispersão deve ter para facilitar a interpretação dos dados.

Question 19. [ \( 5 \times 1 \) ] In sub part (i) and (ii) choose the correct option and sub-part (iii) to (v) answer the questions as instructed. (i) If the correlation coefficient between two variable is 1, then two least square lines of regression are: (a) parallel (b) perpendicular (c) coincident (d) both (a) and (c) (ii) Read the following statement and choose the correct option: (I) if \( b_{x y} \cdot b_{y x}=1 \), then the regression lines are perpendicular (II) If \( b_{x y} b_{y x}=0 \), then the regression lines are perpendicular (III) If \( b_{x y}+b_{y x}=0 \), then the regression lines are perpendicular (IV) \( \quad b_{x y}+b_{y x}=1 \), then the regression lines are perpendicular Which of the following is correct? (a) Only (II) is correct (b) Only (II) and (III) are correct (c) Only (I) and (IV) are correct (d) Only (I) is correct (iii) If the two line of regression are \( 3 x-2 y+1=0 \) and \( 2 x-y-2=0 \), then find the mean of \( x \) and mean of \( y \). (iv) A teacher asked his student to find the value of coefficient of correlation where two coefficient of regression are -0.3 and -1.2 . Fahad said the value of coefficient of correlation is \( \pm 0.6 \) Janhavi said the value of coefficient of correlation is - 0.6 How is correct? Justify your answer. (v) Find the value of \( b_{x y} \) for five observations of pairs( \( \left.\mathrm{x}, \mathrm{y}\right) \sum x=15, \sum y=25, \sum y^{2}= \) 135 and \( \sum x y=83 \). Question 19. [2] The equation of two line of regression are \( 2 x+3 y-6=0 \) and \( 5 x+7 y-12=0 \). Find the value of coefficient of correlation. Question 20. [4] The following observations are given: \[ (1,4),(2,8),(3,2)(4,12)(5,10),(6,14),(7,16)(8,6),(9,18) \] Estimate the value of \( y \) when the value of \( x \) is 10 Question 21. [4] The coefficient of correlation between the value denoted by \( X \) and \( Y \) is 0.5 . The mean of \( X \) is 3 and that of \( Y \) is 5 . Their standard deviation is 5 and 4 respectively. Find (i) The two line of regression (ii) The expected value of \( X \), when \( Y \) is given 9.