General Maths Masterclass 2022 - Bivariate Data

Researchers were investigating if a new reading program for eight-year-olds had an impact on their vocabulary. The results are shown in the graph, together with the least-squares regression line and R² value of 0.6911. The correlation between the variables "Number od books read" and "Vocabulary test restults" could best be described as...

• weak, positive and linear

• strong, positive and linear

• strong, negative and linear

• moderate, positive and non-linear

Tags

CCSS.HSS.ID.C.9

• A

• B

• C

• D

Tags

CCSS.HSS.ID.B.6B

Using the regression model, the best prediction for the vocabulary test result of a student who had read elevens books would be...

• 72

• 74

• 76

• 78

Calculate the number of students surveyed.

(a)  

Tags

CCSS.HSA.CED.A.3

Calculate the percentage of students who travel by car (to 1 decimal place).

(a)  

Tags

CCSS.8.SP.A.4

Calculate the percentage bus travellers who were senior students (to one decimal place)

(a)  

Tags

CCSS.8.SP.A.4

Identify the explanatory variable

(a)  

Tags

CCSS.HSS.ID.B.5

Determine the a and b values for the least squares regression line (to 2 decimal places). Write your answer in the form a,b

(a)  

Tags

CCSS.8.EE.C.8C

Calculate the value of the correlation coefficient to 3 decimal places.

(a)  

Tags

CCSS.HSS.ID.C.8