1.Studentexam score (marks)and the number of classes theyattendedin the trimester were recorded for a subject.Excel was used to investigate the potential linear relationship between these two variables.A section of the summary output is provided below:

Regression statistics

Multiple R 0.47

R square 0.2209

Observations 59

Coefficients Standard Error

Intercept 13.11 5.26

Attendance 7.11 3.08

What is the value of the slope?Give your answer correct to two decimal places.Do NOT include units.

2.You are told that the following values represent four different correlation coefficients, r, labelled A to D as follows:

A = 0.95B = 0.3C = 0.90D = 0.88

Which of the following statements is correct?

D, represents a strong, downward sloping, linear relationship.

B,represents a very weak, upward sloping, linear relationship.

C,represents a very strong, downward sloping, linear relationship.

Of these four correlation coefficients,Brepresents the strongest linear relationship

A,represents a very strong, upward sloping, linear relationship.

3.Studentexam marks(out of 100) and the number of classes theyattendedin the trimester were recorded for a subject.Excel was used to investigate the potential linear relationship between these two variables.A section of the summary output is provided below:

Regression statistics

Multiple R 0.77

R square 0.5929

Observations 31

Coefficients Standard Error

Intercept 16.11 8.26

Attendance 3.11 1.99

What is the value of the coefficient of determination?Give your answer correct to two decimal places.Please do NOT include units and NOT percentage.

4.A chocolatier used a simple linear regression to estimate the energy content (calories) of a new box of chocolates, based on the sugar content (grams).The following information was found:

Estimated energy content = 42.98 + 4.38 Sugarwithr = 0.48andn = 79

What is the estimated energy content for 111.57 grams of sugar?Give you answer correctly rounded to two decimal places.Do NOT give units.