Answer:
The correlation coefficient of the data set is -0.901
Step-by-step explanation:
x y xx xy yy
1 20 1 20 400
3 14 9 42 196
5 10 25 50 100
9 6 81 54 36
15 4 225 60 16
[tex]\sum x = 1+3+5+9+15=33\\\sum y =20+14+10+6+4=54\\\sum x^2 =1+9+25+81+225=341\\\sum y^2=400+196+100+36+16=748\\\sum xy=20+42+50+54+60=226[/tex]
Formula :[tex]\frac{N \sum XY - (\sum X)(\sum Y)}{\sqrt{N\sum X^2 - (\sum X)^2}\sqrt{N \sumY^2 - (\sum Y)^2)}}[/tex]
[tex]= \frac{5 (226) - (33)(54)}{\sqrt{5(341)- (33)^2}\sqrt{5 (748) - (54)^2}}\\=-0.901[/tex]
So, Option D is true
Hence the correlation coefficient of the data set is -0.901
