correlation

The average annual expenditure per consumer for health care and the per capita income for the years 1991 to 1995 are shown. Find the correlation coefficient. Year 1991 1992 1993 1994 1995 Health care cost (in thousands) 1.6 1.7 1.8 1.9 1.9 Per capita income (in thousands) 20 21 21 23 25 =..

The formula for the multiple correlation coefficient when there are only two independent variables using r yx 1 , r yx 2 and r x 1 x 2 is => II or III or I or IV..

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 80 96 94 87..

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 age ( x 1 ), height ( x 2 ) and weight ( y ) of 5 children selected randomly are shown. Find the value of the multiple correlation coefficient R. Age (in years) ( x 1 ) 8 9 10 11 12 Height (in inches) ( x 2 ) 44 43 47 49 48 Weight (in lbs) ( y ) 64 60 71 76 76 => 0.99 or 0.9 or 0.88 o..

The university authorities wants to analyse the relationship between the student's score in a mathematics examination ( y ), age ( x 1 ) and score in statistics examination ( x 2 ). Determine the (i) multiple correlation coefficient (ii) the coefficient of determination and (iii) the resi..

A chair manufacturing company has experienced the following costs for the first half of the year. Determine the correlation coefficient and the equation of the regression line for the data and predict the value for y ′ when x = 6. Month Jan Feb Mar Apr May Jun Chairs made ( x ) (in ..

The ACT Mathematics and Statistics scores for 7 students are shown. Determine the correlation coefficient, the equation of the regression line and predict the value for y ′ when x = 20. Maths ACT 15 30 23 27 11 22 18 Statistics ACT 12 29 25 26 10 20 16 (I) r = + 0.98 (II) y ′ ..

A shop owner wants to find the relation between the demand ( x 1 ), supply ( x 2 ) and the price ( y ) of an item. After 6 months he got this data which is shown here. Find F test value and test the significance of the multiple correlation coefficient R at α = 0.025. Demand (in tonn..