Camilla collected data on the quality of day care (x) and the child’s grades in kindergarten (y). Her data are below:

a. Find the correlation between these two variables.

b. Write the standardized regression equation for these data.

c. Calculate b and a for the unstandardized regression equation for these data.

d. Write the unstandardized regression equation for these data.

e. Draw the scatterplot and regression line for these data.

f. Do the data violate any assumptions?

g. Using the standardized regression equation, make a prediction for the following z_x values

zx	ẑy
–3
–2
–0.8
0
0.6
1.2
2.4

h. Using the unstandardized regression equation, make a prediction for the following x values.

x	ŷ
0
1
2
3
4
5
6

i. Calculate the residual predicted dependent variable score and residual for each individual in the dataset.

j. Which individual has the largest residual? Which individual has the smallest residual?

Transcribed Image Text:

ID y 3.8 3.5 1.9 4.8 3 0.5 5.2 1.6 7.0 5 4.8 2.2 5.2 5.1 7 6.1 4.0 8 4.3 6.5 2.6 2.3 10 1.2 4.1 11 3.5 5.8 12 4.6 6.8 13 6.2 7.2 14 2.1 6.9 15 0.3 1.4 1,