probability 12

Probability 5

Probability 7

Probability 13

Probability 11

Probability 6

Probability 8

combination and probability

Probabilty

can you please me with this calculus question

A group of 13 healthy children and adolescents participated in a phycological study designed to analyze the relationship between age and average total sleep time (ATST). To obtain a measure for ATST (in minutes), recordings were taken on each subject on three consecutive nights and then averaged. Results are provided to you in Sleep&Age.xlsx ✓ file. 1. (2 points) Determine the least-squares regression line for predicting average total sleep time using age. 2. (2 points) Make a scatter plot of the data with ATST on the y-axis (vertical axis) and Age on the x- axis (horizontal axis) with least squares regression line overlaid on the top (i.e.: obtain the fitted line plot). Make sure to attach the plot below. 3. (7 points) Check the assumptions for the simple linear regression. Attach any plots you used check the assumptions and comment on them. 4. (7 points) We want to see if the average sleep time decreases as the children grow older. Write the appropriate null and alternative...

question 8 & 20