Question

# Use the classroom dataset. A researcher wants to be able to use shoe size to predict...

Use the classroom dataset. A researcher wants to be able to use shoe size to predict height.

Shoe size= 6, 9, 7.5, 9.5, 8, 10.5, 8, 8, 7.5, 7.5, 9, 9, 8.5, 11.5, 8.5, 9, 7, 5, 8, 8, 8.5, 6.5, 6

Height(in)= 62, 67, 62, 69, 63, 67, 66, 63, 68, 64, 63, 66, 65, 72, 64, 65, 66, 61, 67, 64, 65, 60, 64

A) what variable is the response variable and which is the predictor variable?

B) Create a scatterplot of the data

C) calculate the correlation coefficient, r. Describe the relation that appear to exist between shoe size and height.

D) Perform a hypothesis test using the Table ll to make a conclusion about the correlation coefficient. Is there evidence to conclude that there is a significant linear correlation between shoe size and height?

1) Set up the null and alternative hypothesis

2) Determine the critical value.

E) Find the least-squares regression equation for this data.

I used R software to solve this problem.

R code

Scatter plot

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