relationship between zeros and coefficient

The degree of a polynomial function f ( x ) with real coefficients is 19. Choose the maximum number of nonreal zeros f ( x ) can have. => 17 or 20 or 19 or 18..

Calculate the correlation coefficient for the data shown and describe the relationship. x 43 40 44 42 41 45 43 44 y 44 43 40 45 43 42 40 44 => - 0.216; weak negative relationship or - 0.126; weak negative relationship or - 0.116; weak negative relationsh..

The supply and price of an item are shown here. Supply (tonnes) 10 20 30 40 50 60 70 80 90 100 Price ($) 100 75 50 40 30 25 20 15 12 10 Calculate the correlation coefficient and describe the relationship between them. => + 0.12; weak positive relationship or - 0.12; we..

A teacher wanted to know the relation between the midterm scores and final scores. She has randomly selected ten students and their respective scores as shown. Calculate the correlation coefficient and describe the relationship. Student A B C D E F G H I J Midterm scores 75 95 8..

The correlation coefficient for the age and blood pressure of 4 people taken randomly is given. Find t and test the significance of correlation coefficient r = 0.9478, use ∝ = 0.01 and n = 4. => 4.2, significant relationship or 1.2, no significant relationshi..

An educational researcher wants to find the relationship between studying hours ( x 1 ), playing hours ( x 2 ) and test scores ( y ) of the students of grade 5. Determine (i) the multiple correlation coefficient, (ii) the coefficient of multiple determination and (iii)..

The grade - point average (GPA) of 10 students in two subjects are as follows: Student A B C D E F G H I J Subject I 2.0 2.2 2.3 2.1 2.4 2.6 2.7 3.5 3.2 3.9 Subject II 2.2 2.5 2.1 2 2.7 2.8 2.5 3.7 3 3.5 Calculate the coefficient of correlation between these two subjects and describe the ..

A shirt manufacturing company wanted to check for the number of defective shirts being produced out of a total of 100 shirts by 10 different machines in two consecutive days. The data obtained is shown here. Machines 1 2 3 4 5 6 7 8 9 10 Day I 3 7 2 4 5 1 8 4 6 0 Day II 4 8 4 3 5 0 7 2 6 1 Find the..

The manager of a basketball team wanted to know whether there is any relationship between the age ( x 1 ) of the players, their heights ( x 2 ) and the average points per game ( y ) scored by them in the previous season before selectinfg the team for the next season. Find F test value and..

The life expectancy at birth (years) of males and females in some countries is shown here. Males 67 69 69 57 55 54 50 49 50 48 Females 77 76 72 60 59 57 53 51 49 50 Calculate the correlation coefficient and describe the relation. => + 0.98; strong positive relationship or - 0.98..