Question

The table below gives the number of hours five randomly selected students spent studying and their corresponding midterm exam grades. Using this data, consider the equation of the regression line. ☺ = bo + x, for predicting the midterm exam grade that a student will earn based on the number of hours spent studying. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Hours Studying 0 1 3 4 5 Midterm Grades 65 74 75 79 83 Table Copy Data Step 1 of 6: Find the estimated slope. Round your answer to three decimal places.

please help with what might be on steps 2-6 as well

Answer 1

Using regression analysis,

regression equation for Y is:

ŷ = 3.04651(X) + 67.27907

i.e.

regression equation for Y is:

ŷ = 3.047(X )+ 67.279

this is in the form of,

$\hat{y}$ = b₀ +b₁(x)

therefore slope is,

b₁ = 3.047