Given are five observations for two variables, x and y. 4 8 13 21 Yi 19 7 25 23 Develop the 95% confidence and prediction intervals when x = 7. (to 4 decimals) t-value (to 3 decimals) (to 4 decimals) Spred (to 4 decimals) Confidence Interval for x = 7 ) (to 2 decimals) Prediction Interval for x = 7 ) (to 2 decimals) The two intervals are different because there is more variability associated with predicting an individual value than there is a mean value.

We are standing on the top of a 384 feet tall building and launch a small object upward. The object's vertical position, measured in feet, after t seconds is h(t) — 16t² + 32t + 384. What is the highest = point that the object reaches? feet

What is x in the diagram?

To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with larg given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income Itemized Deductions ($1,000s) 22 ($1,000) 9.6 27 9.6 32 10.1 48 11.1 65 13.5 85 120 15.7 25.5 (a) Develop a scatter diagram for these data with adjusted gross income as the independent variable. 30 25 20 15 10 5 30 25 20 15 10 5+ 30 25- 20- 15- 10- .. 5- 0 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) 0 20 40 60 80 100 120 140 0 Adjusted Gross Income ($1,000s) 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) 30 25 20 15 10 5- 0 20 40 60 80 100 Adjusted Gross Income ($1,000s) 120 140 G (b) Use the least squares method to…