Simple linear regression

Question

Question

Simple linear regression

in a simple linear regression based on 30 observations the following information is provided: y^= -6.89+1.15x and se=2.88. Also se(yhat ^0) evaluated at x=30 is 1.41

Construct the 95% confidence interval for E(y) if x=30, and construct the 95% prediction interval for y if x=30.

Business-Statistics

Add a comment Improve this question Transcribed image text

Answer 1

Similar Homework Help Questions

In a simple linear regression based on 27 observations, the following information is provided: yˆy^ =...

In a simple linear regression based on 27 observations, the following information is provided: yˆy^ = −6.53 + 1.22x and se = 2.95. Also, se(yˆ0)se(y^0) evaluated at x = 27 is 1.14. [You may find it useful to reference the t table.] a. Construct the 95% confidence interval for E(y) if x = 27. (Round intermediate calculations to at least 4 decimal places, "tα/2,df" value to 3 decimal places, and final answers to 2 decimal places.) b. Construct the 95%...
(Do this problem without using R) Consider the simple linear regression model y =β0 + β1x...

(Do this problem without using R) Consider the simple linear regression model y =β0 + β1x + ε, where the errors are independent and normally distributed, with mean zero and constant variance σ2. Suppose we observe 4 observations x = (1, 1, −1, −1) and y = (5, 3, 4, 0). (a) Fit the simple linear regression model to this data and report the fitted regression line. (b) Carry out a test of hypotheses using α = 0.05 to determine...
please help! Following is a simple linear regression model: y = a + A + &...

please help! Following is a simple linear regression model: y = a + A + & The following results were obtained from some statistical software. R2 = 0.523 Syx (regression standard error) = 3.028 n (total observations) = 41 Significance level = 0.05 = 5% Variable Interecpt Slope of X Parameter Estimate 0.519 -0.707 Std. Err. of Parameter Est 0.132 0.239 Note: For all the calculated numbers, keep three decimals. Write the fitted model (5 points) 2. Make a prediction...

A simple linear regression (linear regression with only one predictor) analysis was carried out using a...

A simple linear regression (linear regression with only one predictor) analysis was carried out using a sample of 23 observations From the sample data, the following information was obtained: SST = [(y - 3)² = 220.12, SSE= L = [(yi - ġ) = 83.18, Answer the following: EEEEEEEE Complete the Analysis of VAriance (ANOVA) table below. df SS MS F Source Regression (Model) Residual Error Total Regression standard error (root MSE) = 8 = The % of variation in the...
In a simple linear regression model, the intercept of the regression line measures

QUESTION 1In a simple linear regression model, the intercept of the regression line measuresa.the change in Y per unit change in X.b.the change in X per unit change in Y.c.the expected change in Y per unit change in X.d.the expected change in X per unit change in Y.e.the value of Y when X equals 0.f.the value of X when Y equals 0.g.the average value of Y when X equals 0.h.the average value of X when Y equals 0.QUESTION 2In a...
In a simple linear regression based on 30 observations, it is found that b1 = 3.74...

In a simple linear regression based on 30 observations, it is found that b1 = 3.74 and se(b1) = 1.38. Consider the hypotheses: [You may find it useful to reference the t table.] H0: β1 = 0 and HA: β1 ≠ 0. a. Calculate the value of the test statistic. (Round your answer to 3 decimal places.)

In a simple linear regression based on 25 observations, it is found that b1 = 0.51...

In a simple linear regression based on 25 observations, it is found that b1 = 0.51 and se(b1) = 0.28. Consider the hypotheses: [You may find it useful to reference the t table.] H0: β1 ≤ 0 and HA: β1 > 0. a-1. Calculate the value of the test statistic.
[a] We want to predict the price of houses from the size of the house (sarft). Please graph a scatterplot and see if the association is linear enough. (20 pts) There is a fairly linear association wi...

[a] We want to predict the price of houses from the size of the house (sarft). Please graph a scatterplot and see if the association is linear enough. (20 pts) There is a fairly linear association with very few outliers. Statkey Descriptive Statistics for Two Quantitative Variables Summary Statistics sih 013695 293546014 77.192 102713 445 650000 Sample Siee 0.788 140.211 11204 145 600000 550000 Scatterplot Controls a Show Regression Line 450000 300000 50000 1500 [b] Find the regression equation for...
In a simple linear regression based on 59 observations, it is found that SSE- 2,795 and...

In a simple linear regression based on 59 observations, it is found that SSE- 2,795 and SST-27,278. a. Calculate se and se. (Round your answers to 2 decimal places.) Se b. Calculate the coefficient of determination R2. (Round your answer to 4 decimal places.) Coefficient of Determination

Given a simple regression analysis, suppose that we have obtained the fitted regression model: ^yi=6+8xi and also...

Given a simple regression analysis, suppose that we have obtained the fitted regression model: ^yi=6+8xi and also the following statistics: SE=3.20, x̄=8,n=42, and ∑ (xi-x̄)2 =420 1) Find the 95% confidence interval for the point where x =18.

Simple linear regression

Homework Answers

Request Answer!

Add Answer to:
Simple linear regression

Post as a guest

Earn Coins

In a simple linear regression based on 27 observations, the following information is provided: yˆy^ =...

(Do this problem without using R) Consider the simple linear regression model y =β0 + β1x...

please help! Following is a simple linear regression model: y = a + A + &...

A simple linear regression (linear regression with only one predictor) analysis was carried out using a...

In a simple linear regression model, the intercept of the regression line measures

In a simple linear regression based on 30 observations, it is found that b1 = 3.74...

In a simple linear regression based on 25 observations, it is found that b1 = 0.51...

[a] We want to predict the price of houses from the size of the house (sarft). Please graph a scatterplot and see if the association is linear enough. (20 pts) There is a fairly linear association wi...

In a simple linear regression based on 59 observations, it is found that SSE- 2,795 and...

Given a simple regression analysis, suppose that we have obtained the fitted regression model: ^yi=6+8xi and also...

Simple linear regression

Homework Answers

Request Answer!

Add Answer to: Simple linear regression

Post as a guest

Earn Coins

Add Answer to:
Simple linear regression