Math Problem Statement
Skip to Main Content Español
Topic 7 Homework (Nonadaptive) Question 7 of 16 (1 point)|Question Attempt: 1 of Unlimited
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Question 7 Partially Correct Your answer is incorrect. (a): Your answer is incorrect. (b): The equation is incorrect. (c): Your answer is incorrect. You are the owner of Fast Break, a popular local place that sells drinks, snacks, and sandwiches. For inventory management purposes, you are examining how the weather affects the amount of hot chocolate sold in a day. You are going to gather a random sample of 9 days showing that day's high temperature (denoted by x, in °C) and the amount of hot chocolate sold that day (denoted by y, in liters). You will also note the product ·xy of the temperature and amount of hot chocolate sold for each day. (These products are written in the row labeled "xy"). (a)Click on "Take Sample" to see the results for your random sample.
Take Sample High temperature, x (in °C) 12 18 23 7 29 12 23 3 15 Amount of hot chocolate sold, y (in liters) 10 7 11 16 5 15 8 18 12 xy 120 126 253 112 145 180 184 54 180
Send data to calculator
Based on the data from your sample, enter the indicated values in the column on the left below. Round decimal values to three decimal places. When you are done, select "Compute". (In the table below, n is the sample size and the symbol Σxy means the sum of the values xy.)
n: 9 x: 142 y: 102 sx: 2794 sy: 1308 Σxy: 1354
Compute Sample correlation coefficient (r): −0.004 Slope (b1): −0.00 y-intercept (b0): 102.29
(b)Write the equation of the least-squares regression line for your data. Then on the scatter plot for your data, graph this regression equation by plotting two points and then drawing the line through them. Round each coordinate to three decimal places. Regression equation: y=+−0.261x15.447
Amount of hot chocolate sold (in liters) y24681012141618202224x3691215182124273033360
High temperature (in °C)
(c)Use your regression equation to predict the amount of hot chocolate sold on a day with a high temperature of 19 °C. Round your answer to the nearest whole number. Predicted amount of hot chocolate sold: 19liters
Check
Save For Later
Submit © 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility Clears your work. Undoes your last action. Tool to erase one or more objects from the graph. Tool to plot one or more points on the graph by using the arrow keys to navigate. Tool to draw a line on the graph. Tool to plot one or more points on the graph by entering their coordinates.
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Linear Regression
Correlation Coefficient
Slope-Intercept Form
Formulas
Sample correlation coefficient formula: r = (nΣxy - ΣxΣy) / sqrt((nΣx² - (Σx)²)(nΣy² - (Σy)²))
Slope formula: b1 = (nΣxy - ΣxΣy) / (nΣx² - (Σx)²)
Y-intercept formula: b0 = (Σy / n) - b1(Σx / n)
Theorems
Least-Squares Regression
Suitable Grade Level
College-Level Statistics
Related Recommendation
Linear Regression Analysis: Predicting Hot Chocolate Sales Using Temperature Data
Linear Regression Analysis: Predicting Hot Chocolate Sales Using Temperature
Linear Regression and Correlation for Hot Chocolate Sales Prediction
Calculate Correlation, Slope, and Predict Sales Using Linear Regression
Predicting Hot Cocoa Sales Using Line of Best Fit at Ice Rink