The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters): temp 62 76 50 51 71 46 51 44 79 growth 36 39 50 13 33 33 17 6 16 find the value of the linear correlation coefficient r.

Step-by-step explanation:

Given is a paired data which consist of temperatures (X in mm) and growth

We have to find the linear correlation i.e. the measure of association between these two variables.

xyxyx^2y^2

6236223238441296

7639296457761521

5050250025002500

51136632601169

7133234350411089

4633151821161089

51178672601289

446264193636

791612646241256

Mean58.88888889271623.8888893628.444444916.1111111

cov33.88888889    

std dev x13.4391633314.50861813    

sx *sy      

r0.195529176    

Hence we find that correlation coefficient 0.1955.

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: