What does the correlation coefficient measure?

If the correlation coefficient between x and y is zero, what can be concluded?

What is the Pearson’s correlation coefficient when there is perfect negative relationship between two variables?

What is the primary purpose of linear regression analysis?

In the equation $\hat{y}=a+bx$, what does $b$ represent?

The table shows the result of an investigation to 8 employees of different ages. The employees are given 100 questions related to the importance of integrity. Find the coefficient of correlation.

The table shows the result of an investigation to 8 employees of different ages. The employees are given 100 questions related to the importance of integrity. Obtain the equation of linear regression.

The following statistics shows the advertising expenses, X (RM’000) and sales revenues, Y(RM’000) of 15 company. $\Sigma x=423,\Sigma x^2=24479,\Sigma y=987,\Sigma y^2=75490,\Sigma xy=37630$ Find $r^2$

The time spent in the gym fitness centre (minutes) and the weight in kilograms(kg) of seven randomly selected women are given in the table. Estimate the weight of a woman who spent 40 minutes in gym.

A salesman is studying the relationship between age(x) and the price(y) of a model of hand phone. The data obtained is shown in the table. Predict the price of hand phone at age 10 months.

The table shows the number of hours spent on sleep daily and the weight of body (in kg) of six boy students. Estimate the body weight of a student who spent 6.5 hours daily for sleep.