Question

A researcher working for the Ray-Ban Corporation decides to perform a hypothesis test to investigate whether there is a significant positive correlation between monthly temperature and number of sunglasses sold at one of their locations. The researcher randomly selected the following sample from this location. Monthly Temperature (°F) Number of Sunglasses Sold 80 91 61 34 56 66 99 72 71 74 95 125 43 65 (TEMP SUMS: 2x = 505; 2x2 = 38,973) (NBR SUMS: 2x = 527; 2 x2 = 44,303) Using the coefficient of determination, which statement is correct?

Answer 1

The solution to this problem is given by

Solution Given date is C {x2 1812 Teme data is Ex = 505 = 38973 Number of sunglass sold data is {y=527 = 44303 [ Say Y). Number of observation is = na 7 The coefficient of determination a &e nElxy) {(x) {(g) [1822 - {x) 2 } [nsya- 18yje) 2 ve H. X y so 61 56 99 91 34 66 72 XY 7280 2074 3696 7198 5254 11875 9195 {xy = 40102 71 95 74 125 43 65 Total

2 gl! sa - Ra (7140102) - (505) (527)) ? (7% 38923 - 1 505 jej (7x4480) -(59739) 0.3689 넌 - 0.37 So, the colleet Gutabletation of R? is 37% of the variability in the number of glasse sold ber month Can be accounted by the variability in the monthly temperature.