Find a 95% confidence interval for the true slope

Assignment Help Basic Computer Science

Reference no: EM131430404

Suppose a company offers tutoring to students interested in improving their math SAT scores. From a random sample of 100 previous customers, they find that Score ˆ = 502.7 + 1.45 · Hours, where Score is the SAT math score and Hours is the number of hours the student was tutored. The R-squared and residual standard error for this model is 0.855 and 16.54, respectively.

(a) For every additional 10 h of tutoring, what is the corresponding change in the test score?

(b) If the standard deviation of the hours variable is 27.5, what is the standard deviation of the score variable?

(d) Find a 95% confidence interval for the mean score for students who are tutored 50 h. Assume the mean number of hours tutored is 55 h.

Reference no: EM131430404

Questions Cloud

Difference between nylon rope polymer and slime : What is the qualitative difference between nylon rope polymer and SLIME (hydrogen bonded)?

What is the predicted total billing for given firm : The firm HCO did not report its total billing but employs 3 architects, 1 engineer, and 17 staff members. What is the predicted total billing for this firm?

Make at least certain percentage of highest paid individual : Some organizations, like Ben Jerry's (I believe B & J has now changed their policy but they previously had this policy), have a cap on executive compensation. The lowest paid employee must make at least a certain percentage of the highest paid indivi..

What volume in liters of naoh solution : 1.) What is the mass in grams of the sample? 2.) What volume in liters of NaOH solution was used in the titration? 3.) How many moles of NaOH solution were used in the titration?

Find a 95% confidence interval for the true slope : Find a 95% confidence interval for the mean score for students who are tutored 50 h. Assume the mean number of hours tutored is 55 h.

Are there any unusual observations that should be monitored : Using numerical and graphical summaries, describe the distribution of each explanatory variable. Are there any unusual observations that should be monitored?

Ph of a solution produced by dissolving : What is the pH of a solution produced by dissolving 1.5g HCl to make 1 L of solution?

Increase in sales by intern is required to show equal profit : A company is deciding where to assign its summer intern. The manager estimates that the intern can save the company $10,000 in supply chain costs. Given the table below, what increase in sales (revenue) by the intern is required to show an equal prof..

Describe the distribution of the response variable : Predicting movie revenue: simple linear regressions. Now let's look at the response variable and its relationship with each explanatory variable.

User Account

All Pages