For science class, a student recorded the high and low temperatures, in Fahrenheit, over a ten day period in September. The data is shown in the table.

Low Temperature, x 26 28 30 32 34 35 37 38 41 45

High Temperature, y 49 50 57 54 60 58 64 66 63 72

A) What is the correlation for a linear model of this data? Round to the nearest hundredth.

r =

B) Ten high and low temperatures in October are recorded and have a correlation coefficient of 0.89. In which month is there a stronger correlation between the high and low temperatures? Explain your answer.

Question

Mathematics

Drew Savage

17 July, 12:38

For science class, a student recorded the high and low temperatures, in Fahrenheit, over a ten day period in September. The data is shown in the table.

Low Temperature, x 26 28 30 32 34 35 37 38 41 45

High Temperature, y 49 50 57 54 60 58 64 66 63 72

A) What is the correlation for a linear model of this data? Round to the nearest hundredth.

r =

B) Ten high and low temperatures in October are recorded and have a correlation coefficient of 0.89. In which month is there a stronger correlation between the high and low temperatures? Explain your answer.

+4

Answers (1)

Know the Answer?

Ahmad Thomas · Answer 1

Thee correlation factor formula for two variables is

(r) = [ nΣxy - (Σx) (Σy) / Sqrt ([nΣx^2 - (Σx) ^2][nΣy^2 - (Σy) ^2]) ].

A). as per the formula the correlation factor for the given data is 0.94.

B). the month of September has the highest correlation as 0.94 is much closer to 1 than 0.89. (note: 1 denotes the perfect correlation and 0 denotes no correlation at all)